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.

$a_1=2\\a_n=a_n\times(-5)$

Step-by-step explanation:

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

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

The common ratio between the terms :$r=\dfrac{-10}{2}=-5$

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 :-

$a_n=a_n\times(-5)$