Questions and Answers
What is the definition of an arithmetic sequence?
What is the formula for the nth term of an arithmetic sequence?
How do you check if a sequence is arithmetic?
What is the arithmetic mean between two numbers?
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What is the graphical representation of an arithmetic sequence?
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What happens to an arithmetic sequence if the common difference is positive?
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What is the characteristic of the terms of an arithmetic sequence when plotted on a graph?
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How do you find the nth term of an arithmetic sequence?
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What is the common ratio in a geometric sequence?
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What is the formula for the nth term of a geometric sequence?
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What is the geometric mean between two numbers a and b?
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What is the graph of a geometric sequence?
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How do you test if a sequence is geometric?
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What is the definition of a series?
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What is the notation for the sum of the first n terms of a sequence?
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What is the formula for an infinite series?
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What is the purpose of sigma notation?
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What is the index of summation in sigma notation?
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What is the general formula for the sum of a finite geometric series?
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What is the condition for the sum of an infinite geometric series to exist?
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What is the formula for the sum of an infinite geometric series?
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What is the definition of an arithmetic sequence?
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What is the formula for the nth term of an arithmetic sequence?
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What is the method used by Karl Friedrich Gauss to find the sum of the first 100 integers?
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What is the sum of the first 100 integers?
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What is the definition of a finite geometric series?
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What is the definition of an infinite geometric series?
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When does an infinite geometric series converge?
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What is the inverse of the function y = ax^2?
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What is the domain and range of the inverse function of y = ax^2?
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What is the restriction on the domain of y = ax^2 for its inverse to be a function?
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What is the graph of f(x) = -x^2?
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What is the inverse of the function y = b^x?
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What is the formula for the sum of a finite arithmetic series?
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What is the definition of a logarithm?
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What is the condition for a function to have an inverse that is also a function?
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What is the shape of the graph of the logarithmic function y = logb(x)?
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What is the special logarithmic value of loga(a)?
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What is the graphical representation of a one-to-one function?
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What is the definition of a relation?
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What is the Quotient Rule of logarithms?
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What is the formula for the sum of an arithmetic sequence if the last term is unknown?
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What is the Power Rule of logarithms?
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What is the property of an inverse function?
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What is the notation for the inverse function?
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What is the graphical representation of the inverse of a function?
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What is the condition for a function to be many-to-one?
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What is the formula for finding the inverse of a linear function?
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What is the formula to change the base of a logarithm?
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What is the reflection of the graph of an exponential function about?
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What is the domain of the logarithmic function f(x) = log x?
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What is the formula for pH levels?
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What is the formula for the cosine of a difference?
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How are the compound angle formulas derived?
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What is the application of logarithms in finance?
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What is the formula for population growth?
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What is the formula to find the angles in the interval [0°, 360°] that satisfy the equation sin θ = x?
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What is the formula for the sine of a difference?
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When should you use the Area Rule to find the area of a triangle?
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What is the formula for the cosine of a sum?
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What is the formula to find the area of a triangle using the Sine Rule?
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What is the formula for the sine of a double angle?
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When should you use the Cosine Rule to find the length of a side in a triangle?
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What is the formula for the cosine of a double angle?
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What is the formula to find the height of a pole using trigonometry?
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How many general solutions are there for a trigonometric equation?
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What is the general approach to solving problems in three dimensions?
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What is the formula to find the length of a side in a triangle using the Cosine Rule?
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What is the first step in solving a trigonometric equation?
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When should you use the Sine Rule to find the length of a side in a triangle?
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What is the purpose of the CAST diagram in solving trigonometric equations?
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What is the formula to find the area of a triangle using the Area Rule?
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What is the formula for the cosine of a difference?
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What is the formula for the sine of a sum?
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What is the formula to find the height of a building using trigonometry?
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What is an alternate form of the cosine of a double angle?
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What is the common difference of an arithmetic sequence if the first term is 5 and the fifth term is 17?
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If an arithmetic sequence has a first term of 2 and a common difference of 4, what is the 10th term?
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Which of the following sequences is NOT an arithmetic sequence?
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What is the number of terms in an arithmetic sequence if the first term is 3, the common difference is 2, and the last term is 19?
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What is the arithmetic mean between 5 and 9?
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What is the graph of an arithmetic sequence when plotted against its position?
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Which of the following is a characteristic of an arithmetic sequence?
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If an arithmetic sequence has a first term of 10 and a common difference of -3, what is the direction of the sequence?
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To find the nth term of a geometric sequence, what formula should be used?
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What is the purpose of sigma notation?
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What is the condition for a sequence to be geometric?
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What is the formula for the geometric mean between two numbers a and b?
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What is the graphical representation of a geometric sequence?
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What is the sum of a finite series denoted by?
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What is the index of summation in sigma notation?
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What is the difference between a finite series and an infinite series?
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What is the purpose of finding the common ratio in a geometric sequence?
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What happens to a geometric sequence if the common ratio is negative?
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What is the formula for the sum of a finite geometric series?
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What is the condition for the sum of an infinite geometric series to exist?
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What is the formula for the sum of an infinite geometric series?
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What is the formula for the nth term of an arithmetic sequence?
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What is the method used by Karl Friedrich Gauss to find the sum of the first 100 integers?
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What is the sum of a finite arithmetic series?
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What is the difference between a finite geometric series and an infinite geometric series?
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What is the formula for the nth term of a geometric sequence?
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When does an infinite geometric series converge?
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What is the formula for the sum of the first $n$ terms of an arithmetic sequence?
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What is the formula for the sum of a finite arithmetic series if the last term is unknown?
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What is a relation?
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What is the condition for a function to have an inverse that is also a function?
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What is the graphical representation of the inverse of a function?
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What is the formula to find the inverse of a linear function f(x) = ax + q?
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What is the property of an inverse function?
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What is the notation for the inverse function?
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What is the condition for an infinite geometric series to exist?
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What is the graphical representation of a one-to-one function?
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What is the formula for the sum of a finite arithmetic series?
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What is the formula for the inverse of the exponential function f(x) = 10^x?
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What is the asymptote of the graph of the exponential function f(x) = 10^x?
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What is the formula for the cosine of a difference of two angles?
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What is the formula for the population growth, where A is the population after n years, P is the initial population, and i is the growth rate?
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What is the inverse of the function y = ax^2?
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What is the formula for the sine of a sum of two angles?
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What is the formula for changing the base of a logarithm?
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What is the domain of the inverse function of y = ax^2?
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What is the exponential function that has an inverse of y = logb(x)?
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What is the formula for the pH level of a solution?
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What is the logarithmic function that has an exponential function of y = b^x?
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What is the reflection of the graph of an exponential function about the line y = x?
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What is the definition of a logarithm?
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What is the shape of the graph of the logarithmic function y = logb(x)?
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What is the Product Rule of logarithms?
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What is the Power Rule of logarithms?
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What is the special logarithmic value of loga(a)?
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What is the Quotient Rule of logarithms?
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What is the formula for the sine of a difference?
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What is the formula for the cosine of a sum?
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What is the formula for the sine of a double angle?
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What is the formula for the cosine of a double angle?
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What are the steps to solve a trigonometric equation?
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What is the purpose of using the CAST diagram in solving trigonometric equations?
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What is the result of using the sum formula for sine with α = β?
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What is the result of using the sum formula for cosine with α = β?
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What is the general method to solve trigonometric equations?
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What is the importance of finding the general solution of a trigonometric equation?
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What is the formula to find the height of a pole in a three-dimensional problem?
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What is the formula to calculate the area of a triangle using the sine rule?
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What is the condition for using the cosine rule in a triangle?
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What is the formula to find the length of a side in a triangle using the sine rule?
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What is the first step in solving a three-dimensional problem?
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What is the formula to find the length of a side in a triangle using the cosine rule?
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What is the condition for using the area rule in a triangle?
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What is the formula to find the area of a triangle using the sine rule?
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What is the formula to find the length of a side in a triangle using the tangent ratio?
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What is the purpose of the sine rule in trigonometry?
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What is the value of the 10th term in an arithmetic sequence with a common difference of 3 and a first term of 2?
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A sequence of numbers is defined by the formula Tn = 2n + 1. Is this sequence arithmetic?
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What is the equation of the straight line obtained by plotting the terms of an arithmetic sequence against their positions?
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If an arithmetic sequence has a first term of 5 and a common difference of -2, what is the 5th term?
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What is the sum of the first 10 terms of an arithmetic sequence with a first term of 2 and a common difference of 3?
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If the 5th term of an arithmetic sequence is 11 and the common difference is 2, what is the first term?
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What is the number of terms in an arithmetic sequence with a first term of 3, a common difference of 2, and a last term of 15?
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If the arithmetic mean between two numbers is 8, and one of the numbers is 6, what is the other number?
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What is the sum of the first 10 terms of the geometric series 2 + 6 + 18 + ...?
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What is the common ratio of the geometric series 3 + 12 + 48 + ...?
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What is the sum of the infinite geometric series 2 + 1 + 1/2 + ...?
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What is the sum of the first 15 terms of the arithmetic series 5 + 7 + 9 + ...?
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What is the common difference of the arithmetic series 10 + 15 + 20 + ...?
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What is the sum of the infinite geometric series 1 + 1/2 + 1/4 + ...?
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What is the sum of the first 20 terms of the geometric series 3 + 9 + 27 + ...?
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What is the common ratio of the geometric series 4 + 16 + 64 + ...?
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What is the sum of the infinite geometric series 2 + 4/3 + 16/9 + ...?
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What is the geometric sequence that forms when the geometric mean between 2 and 3 is calculated?
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What is the common ratio of a geometric sequence if the first term is 2 and the second term is 6?
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What is the sum of the first 12 terms of the arithmetic series 2 + 5 + 8 + ...?
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What is the formula to find the nth term of a geometric sequence?
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What is the sum of the first n terms of a sequence denoted as?
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What is the notation used to represent the sum of terms in a sequence?
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What is the general form of the sum of terms in a sequence?
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What is the characteristic of a geometric sequence if the common ratio is negative?
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What is the graphical representation of a geometric sequence?
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What is the test to determine if a sequence is geometric?
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What is the sum of an infinite geometric series if the first term is 2 and the common ratio is 1/2?
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What is the general formula for the sum of a finite arithmetic series if the last term is unknown?
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What is the condition for a function to have an inverse that is also a function?
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What is the graphical representation of the inverse of a function?
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What is the formula for the sum of an arithmetic sequence if the first term and the common difference are known?
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What is the property of an inverse function?
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What is the definition of a relation?
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What is the graphical representation of a one-to-one function?
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What is the notation for the inverse function?
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What is the formula for finding the inverse of a linear function?
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What is the condition for a function to be many-to-one?
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What is the inverse of the function y = ax^2 in function notation?
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What is the logarithmic function of the exponential function y = 2^x?
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What is the shape of the graph of the logarithmic function y = log_b x?
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What is the special logarithmic value of log_a a?
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What is the property of an inverse function?
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What is the condition for a function to have an inverse that is also a function?
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What is the notation for the inverse function?
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What is the reflection of the graph of an exponential function about the line y = x?
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What is the formula for the sum of a finite geometric series?
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What is the reflection of the graph of a logarithmic function about?
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What is the formula to change the base of a logarithm?
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What is the derivative of the function f(x) = log x?
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What is the formula for the population of a city after n years, given an initial population P and a constant growth rate i?
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What is the formula for the cosine of a sum of two angles alpha and beta?
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What is the formula for the sine of a difference of two angles alpha and beta?
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What is the formula for the pH level of a solution given the hydrogen ion concentration [H+]?
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What is the graph of the inverse of an exponential function?
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What is the general approach to solve three-dimensional problems?
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What is the formula for the height of a pole, given AB = d, ∠FBA = θ, ∠FAB = α, ∠FBT = β, and ∠TFB = 90°?
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When is it appropriate to use the Cosine Rule?
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What is the formula for the area of a triangle ABC?
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What is the formula for the height of a building, given BC = b, ∠DBA = α, ∠DBC = β, and ∠DCB = θ?
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When is it appropriate to use the Sine Rule?
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What is the formula for the area of a triangle, given the three sides?
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What is the general approach to solve trigonometric equations?
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What is the formula for the angle of elevation of a building, given the height and distance from the observer?
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What is the formula for the cosine of a sum?
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What is the formula for the sine of a double angle?
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What is the condition for an infinite geometric series to converge?
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What is the formula for the cosine of a double angle?
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What is the formula for the sine of a difference?
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What is the method to derive the double angle formulas?
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What is the purpose of the CAST diagram?
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What is the step to find the general solution of a trigonometric equation?
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What is the formula for the cosine of a difference?
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What is the formula for the sine of a sum?
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What is the purpose of using the sum and difference formulas?
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If an arithmetic sequence has a first term of 5 and a common difference of 3, what is the 10th term?
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What is the common difference of an arithmetic sequence if the 5th term is 11 and the 7th term is 15?
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An arithmetic sequence has a first term of 2 and a last term of 20. If the common difference is 2, how many terms are in the sequence?
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What is the arithmetic mean between 5 and 11?
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If an arithmetic sequence has a common difference of -3, which of the following is true?
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What is the graphical representation of an arithmetic sequence?
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An arithmetic sequence has a first term of 1 and a common difference of 2. Which of the following is true?
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What is the purpose of checking the difference between consecutive terms in an arithmetic sequence?
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What is the sum of the first 10 terms of the geometric sequence 2, 6, 18, 54, ...?
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What is the common ratio of the infinite geometric series 3, 12, 48, 192, ...?
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What is the sum of the first 5 terms of the arithmetic sequence 3, 7, 11, 15, ...?
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What is the condition for the sum of an infinite geometric series to exist?
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What is the formula for the sum of a finite geometric series with first term a and common ratio r?
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What is the sum of the first 8 terms of the geometric sequence 4, 12, 36, 108, ...?
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What is the common difference of the arithmetic sequence 2, 5, 8, 11, ...?
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What is the formula for the sum of an infinite geometric series with first term a and common ratio r?
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What is the sum of the first 12 terms of the arithmetic sequence 1, 3, 5, 7, ...?
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What is the formula for the nth term of an arithmetic sequence with first term a and common difference d?
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What is the formula for the nth term of a geometric sequence?
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What is the geometric mean between two numbers a and b?
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What is the characteristic of a geometric sequence when plotted on a graph?
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How do you test if a sequence is geometric?
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What is the notation for the sum of the first n terms of a sequence?
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What is the formula for an infinite series?
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What is the purpose of sigma notation?
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What is the index of summation in sigma notation?
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What is the general formula for the sum of a finite geometric series?
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What is the condition for the sum of an infinite geometric series to exist?
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What is the formula to change the base of a logarithm?
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What is the reflection of the graph of the inverse of an exponential function about?
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What is the formula for the cosine of a difference?
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What is the application of logarithms in calculating loan repayments?
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What is the graph of the function y = log(x) like?
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What is the formula for the sum of a finite arithmetic series?
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What is the formula for the population growth model?
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What is the condition for a function to have an inverse that is also a function?
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What is the pH level formula?
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What is the sine of a sum formula?
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What is the graphical representation of a one-to-one function?
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What is the formula to find the inverse of a linear function?
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What is the property of an inverse function?
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What is the notation for the inverse function?
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What is the graphical representation of the inverse of a function?
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What is the correct inverse of the function y = ax^2, given that the domain of the original function is restricted to ensure the inverse is a function?
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What is the graphical representation of the inverse of a one-to-one function?
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What is the condition for a function to be many-to-one?
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What is the condition for the sum of an infinite geometric series to exist?
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What is the definition of a relation?
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What is the formula for the sum of an infinite geometric series?
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What is the logarithmic function equivalent to the exponential function y = 2^x?
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What is the correct way to express the function y = x^2 in function notation?
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What is the property of a function that is required for its inverse to be a function?
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What is the formula to change the base of a logarithm from a to b?
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What is the shape of the graph of the exponential function y = 2^x?
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What is the definition of the logarithmic function?
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What is the restriction on the domain of y = ax^2 for its inverse to be a function?
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What is the formula for the sine of a difference of two angles?
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What is the formula for the cosine of a sum of two angles?
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What is the formula for the sine of a double angle?
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What is the formula for the cosine of a double angle?
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How do you simplify a trigonometric equation?
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What is the purpose of the CAST diagram?
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What is the formula for the sine of a sum of two angles?
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What is the formula for the cosine of a difference of two angles?
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What is the purpose of finding the reference angle?
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If cosθ = x, what is the general solution for θ?
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What is the importance of the periodic nature of trigonometric functions?
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What is the formula for the area of a triangle in terms of two sides and the included angle?
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What is the formula for the height of a pole using the sine rule and tangent ratio?
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What is the formula for the height of a building using the sine rule?
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What is the condition for an infinite geometric series to exist?
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What is the formula for the sum of an infinite geometric series?
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What is the general solution for θ if tanθ = x?
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What is the formula for the sine rule in trigonometry?
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What is the formula for the cosine rule in trigonometry?
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What is the general approach to solving three-dimensional problems in trigonometry?
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