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Questions and Answers
What is the general term for the sequence 3, 6, 9, 12,...?
What is the general term for the sequence 3, 6, 9, 12,...?
- u = n + 2
- u = 3n + 2
- u = 3n (correct)
- u = 3^n
The sequence 3, -12, 48, -192,... is arithmetic.
The sequence 3, -12, 48, -192,... is arithmetic.
False (B)
What is the general term for the sequence 2, 10, 50, 150,...?
What is the general term for the sequence 2, 10, 50, 150,...?
u = 2 x 5^(n-1)
The sequence 3, 6, 9, 12,... is classified as an ________ sequence.
The sequence 3, 6, 9, 12,... is classified as an ________ sequence.
Match the sequences with their classifications:
Match the sequences with their classifications:
For the infinite geometric series, the upper limit is ______.
For the infinite geometric series, the upper limit is ______.
Match the following deposits to their corresponding month:
Match the following deposits to their corresponding month:
What is the computed sum of the series -1 + 4 - 9 + 16?
What is the computed sum of the series -1 + 4 - 9 + 16?
What is the total amount Sebastian has to repay for his car loan after five years?
What is the total amount Sebastian has to repay for his car loan after five years?
The interest on Habib's savings account is compounded annually.
The interest on Habib's savings account is compounded annually.
How much will be in Habib's account after four years?
How much will be in Habib's account after four years?
Leslie's student loan amount was $______ CAD.
Leslie's student loan amount was $______ CAD.
Match the following terms with their meanings:
Match the following terms with their meanings:
What does QED stand for?
What does QED stand for?
Terms can jump from one side of a mathematical equation to the other side during the proof.
Terms can jump from one side of a mathematical equation to the other side during the proof.
What is the annual interest rate Leslie would be charged?
What is the annual interest rate Leslie would be charged?
What is the common ratio in the geometric series where the second term is 20 and the sixth term is 9?
What is the common ratio in the geometric series where the second term is 20 and the sixth term is 9?
The sum to infinity of a geometric series can only be calculated if the common ratio is less than 1.
The sum to infinity of a geometric series can only be calculated if the common ratio is less than 1.
How much interest will Angelina earn after 10 years on her initial deposit of $3000 with a 1.5% interest rate?
How much interest will Angelina earn after 10 years on her initial deposit of $3000 with a 1.5% interest rate?
The maximum distance a ball can travel if dropped from a height of 20 m and rebounds to half its previous height is _____ m.
The maximum distance a ball can travel if dropped from a height of 20 m and rebounds to half its previous height is _____ m.
Match the following interest rates with their corresponding actions:
Match the following interest rates with their corresponding actions:
What will Brad's investment amount to after 4 years with an interest rate of 2.75% compounded annually?
What will Brad's investment amount to after 4 years with an interest rate of 2.75% compounded annually?
What is the value of the term in Angelina's account at the start of January 2030 before her final deposit?
What is the value of the term in Angelina's account at the start of January 2030 before her final deposit?
The sum of all integers between 500 and 1400 that are not divisible by 7 is _____ .
The sum of all integers between 500 and 1400 that are not divisible by 7 is _____ .
What is the coefficient of the term in $x^5$ in the binomial expansion of $(3 + x)(4 + 2x)^5$?
What is the coefficient of the term in $x^5$ in the binomial expansion of $(3 + x)(4 + 2x)^5$?
The constant term in the expansion of $rac{1}{x - 4}$ represents the value when $x$ is equal to 4.
The constant term in the expansion of $rac{1}{x - 4}$ represents the value when $x$ is equal to 4.
What is the 6th term in a geometric series whose sum to infinity is 120 and the common ratio is 0.2?
What is the 6th term in a geometric series whose sum to infinity is 120 and the common ratio is 0.2?
The value of $n$ for which the coefficient of $x^2$ in the binomial expansion of $(1 + 3x)^n$ is 495 is __________.
The value of $n$ for which the coefficient of $x^2$ in the binomial expansion of $(1 + 3x)^n$ is 495 is __________.
Match the following mathematical operations with their corresponding results:
Match the following mathematical operations with their corresponding results:
In the expression $-x^2 - 31x + 51$, which term represents the linear term?
In the expression $-x^2 - 31x + 51$, which term represents the linear term?
The first three terms from the binomial expansion of $rac{1}{x}$ always provides an exact approximation for $0.975$.
The first three terms from the binomial expansion of $rac{1}{x}$ always provides an exact approximation for $0.975$.
The investment must reach $12,000 after _______ months.
The investment must reach $12,000 after _______ months.
In a geometric progression, if the first term is $u_1$ and the seventh term is $u_7 = 22.78125$, which of the following could be the common ratio if $u_1 = 4.5$?
In a geometric progression, if the first term is $u_1$ and the seventh term is $u_7 = 22.78125$, which of the following could be the common ratio if $u_1 = 4.5$?
A tank that contains 55 litres of water, losing water at a rate of 7% per minute, will have no water left after approximately 10 minutes.
A tank that contains 55 litres of water, losing water at a rate of 7% per minute, will have no water left after approximately 10 minutes.
What is the 10th term of a geometric sequence if the fourth term is 8 times the first term and the sum of the first 10 terms is 765?
What is the 10th term of a geometric sequence if the fourth term is 8 times the first term and the sum of the first 10 terms is 765?
The sequence of water left in the tank after each minute represents a ______ sequence.
The sequence of water left in the tank after each minute represents a ______ sequence.
Match the following terms with their descriptions:
Match the following terms with their descriptions:
How many terms are in the sequence 4, 7, 10,..., 61?
How many terms are in the sequence 4, 7, 10,..., 61?
In the binomial expansion of $(3x-y)^6$, the coefficient of the term in $x^2$ cannot be negative.
In the binomial expansion of $(3x-y)^6$, the coefficient of the term in $x^2$ cannot be negative.
What value of 'x' allows the three consecutive terms of a geometric sequence, x-3, 6, and x+2, to hold true?
What value of 'x' allows the three consecutive terms of a geometric sequence, x-3, 6, and x+2, to hold true?
Flashcards
Arithmetic Sequence
Arithmetic Sequence
A sequence where each term is found by adding a constant value to the previous term.
Geometric Sequence
Geometric Sequence
A sequence where each term is found by multiplying the previous term by a constant value.
General Term
General Term
The formula that describes the relationship between each term in a sequence and its position.
Common Difference
Common Difference
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Common Ratio
Common Ratio
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Geometric Series
Geometric Series
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First Term
First Term
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Sum to Infinity
Sum to Infinity
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Compound Interest
Compound Interest
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Principal
Principal
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Interest Rate
Interest Rate
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Total Amount
Total Amount
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Geometric Series Sum
Geometric Series Sum
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Infinite Geometric Series
Infinite Geometric Series
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Finite Geometric Series
Finite Geometric Series
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Geometric Series Sum Formula
Geometric Series Sum Formula
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Finding n Using a Graphing Calculator
Finding n Using a Graphing Calculator
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Finding n Using a Calculator's Table Function
Finding n Using a Calculator's Table Function
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Sigma Notation for Geometric Series
Sigma Notation for Geometric Series
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Algebraic Proof
Algebraic Proof
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QED
QED
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Simple interest
Simple interest
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Total value
Total value
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Student loan
Student loan
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Savings account
Savings account
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Geometric Progression
Geometric Progression
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Common Ratio (Geometric Progression)
Common Ratio (Geometric Progression)
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Infinite Geometric Sum
Infinite Geometric Sum
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Arithmetic Progression
Arithmetic Progression
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Common Difference (Arithmetic Progression)
Common Difference (Arithmetic Progression)
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Pascal's Triangle
Pascal's Triangle
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Binomial Theorem
Binomial Theorem
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Binomial Coefficient
Binomial Coefficient
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What is a binomial expansion?
What is a binomial expansion?
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What is a coefficient in a binomial expansion?
What is a coefficient in a binomial expansion?
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What is the constant term in a binomial expansion?
What is the constant term in a binomial expansion?
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How to find a specific term in a binomial expansion?
How to find a specific term in a binomial expansion?
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What is a geometric series?
What is a geometric series?
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What is an arithmetic series?
What is an arithmetic series?
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What is a term independent of x in a binomial expansion?
What is a term independent of x in a binomial expansion?
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What is a convergent geometric series?
What is a convergent geometric series?
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