Question

What is the recursive formula for this geometric sequence?

Answer 1

B is the answer because first number is 2 and common ratio is - 5

Answer 2

Answer: B.

`a_1=2\\a_n=a_n*(-5)`

Explanation:

The given geometric sequence : 2, -10, 50, -250

The first term of the sequence :
`a_1=2`

The common ratio between the terms :
`r=(-10)/(2)=-5`

We know that the recursive formula for geometric progression is given by :-

`a_n=a_(n-1)r`

Then , the recursive formula for the given geometric progression will be :-

`a_n=a_n*(-5)`