8
QuizMultiple Choice

Geometric Sequences — Quiz

Question 8 • Algebra: Concepts and Connections

Pablo generates the function f of x is equal to 3 halves times 5 halves raised to the x minus 1 power to determine the x to the th th power number in a sequence. Which is an equivalent representation?

Answer
A
f of x is equal to 3 halves f open paren x plus 1 close paren
B
f of open paren x plus 1 close paren is equal to 3 halves f x
C
f of open paren x plus 1 close paren is equal to 5 halves f x
D
f of x is equal to 5 halves f open paren x plus 1 close paren

Explanation

In the given formula, increasing x by 1 changes the exponent from x − 1 to x. That multiplies the value by 5/2, so f(x + 1) = (5/2)f(x). This is the equivalent representation in choice A.

AI-written and checked against the verified answer.

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