Question

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

Answer 1

Answer:

The answer is C

Step-by-step explanation:

Answer 2

Answer:

$f(n)=-2\cdot f(n-1)$, where f(1)=3

Step-by-step explanation:

The given sequence is; 3, –6, 12, –24, 48, …

The first term of this sequence is

$f(1)=3$

There is a common ratio of $r=\frac{-6}{3}=-2$

We can actually use any other two consecutive terms in the sequence to obtain the common ratio.

The recursive formula is given by:

$f(n)=r\cdot f(n-1)$

We plug in the common ratio to get:

$f(n)=-2\cdot f(n-1)$, where f(1)=3