16
QuizMultiple Choice

Function Notation — Unit test

Question 16 • CUSD Math 01 A (5.0)

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

Answer
A
f(n + 1) = (–0.5)f(n)
B
f(n + 1) = (0.5)f(n)
C
f(n + 1) = f(0.5n)
D
f(n + 1) = f(–0.5n)

Explanation

Compare consecutive terms to find the rule: −4.8 ÷ 9.6 = −0.5, and 2.4 ÷ (−4.8) = −0.5. Each term is the previous term multiplied by −0.5, so the recursive formula is f(n + 1) = (−0.5)f(n), choice A.

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