A sequence is defined by the recursive function f (n + 1) = - 10f (n). If f (1) = 1, what is f (3) ?

Question

Mathematics

Natalee

15 October, 07:15

A sequence is defined by the recursive function f (n + 1) = - 10f (n). If f (1) = 1, what is f (3) ?

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Answers (1)

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Willie Mathews · Answer 1

f (3) = 100

Step-by-step explanation:

Using the recursive formula and f (1) = 1, then

f (2) = - 10 f (1) = - 10 * 1 = - 10

f (3) = - 10 f (2) = - 10 * - 10 = 100