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 ?

Answer 1

Given f(n+1) =-2f(n)
here f(n) =f(1) = -1.5
f(n+1) =f(2) = -2 * -1.5 = 3

Answer 2

Answer:

The next term in the sequence is 3.                                                  

Step-by-step explanation:

Given : A sequence is defined recursively by the formula $f(n+1)=-2f(n)$. The first term of the sequence is -1.5.

To find : What is the next term in the sequence?

Solution :

The recursive formula is  $f(n+1)=-2f(n)$

We have given, $f(1)=-1.5$

We have to find f(2)

So, Substitute n=1 in the recursive formula,

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

$f(2)=-2\times (-1.5)$

$f(2)=3$

Therefore, The next term in the sequence is 3.