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Mathematics: Sequences and Functions - Practice Midterm

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Mathematics: Sequences and Functions - Practice Midterm

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Questions and Answers

What is the explicit formula for an arithmetic sequence?

$A_{n}=A_{1}ullet d(n-1)$

How do you identify a polynomial function by its graph?

By observing the shape and behavior of the graph, including the number of x-intercepts and turning points.

What is the formula for the arithmetic sequence recursive formula?

$A_{n}=A_{n-1} ext{±}d$

What are the types of sequences mentioned in the text?

Arithmetic and Geometric Sequences Signup and view all the answers

How do you simplify square and cube root expressions?

By factoring the expression and identifying perfect square factors or perfect cube factors. Signup and view all the answers

What are the horizontal asymptotes of a rational function?

They are the lines that the graph approaches as x tends to positive or negative infinity. Signup and view all the answers

What are the operations that can be performed with rational expressions?

Addition, Subtraction, Multiplication, Division Signup and view all the answers

What are the laws of exponents used for in radical and rational exponent expressions?

To simplify expressions involving radicals and rational exponents. Signup and view all the answers

How do you identify a geometric sequence by its equation?

By observing the common ratio between consecutive terms in the equation. Signup and view all the answers

What are the different types of polynomials mentioned in the text?

Monomial, Binomial, Trinomial, Polynomial, Linear, Quadratic, Cubic, Quartic, Quintic Signup and view all the answers