Question

A sequence is defined recursively by the formula f(n 1) = –2f(n). The first term of the sequence is –1. 5. What is the next term in the sequence? –3. 5 –3 0. 5 3.

Answer 1

(d) 3

Explanation:

You want the second term of a sequence defined by the recursive relation ...

• f(1) = -1.5
• f(n+1) = -2f(n)

Second term

The second term is found by using n=1 in the recursive formula:

f(1+1) = -2f(1)

f(2) = -2(-1.5) = 3

The second term is 3.

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