The fifth term of a geometric sequence is 781. 25. Each term of the sequence is of the value of the following term. Which recursive formula represents the situation?.

an = 5an-1

Explanation: Given fifth term of a geometric sequence is 781.25.

a5 = 781

Also, each previous term is 1/5 of the value of the current term.

Therefore, common ratio would be 5.

But we just need to find the recursive formula .

Recursive formula of a geometric sequence is given by

Plugging value of r in above formula, we get

Therefore, recursive formula would be   represents the situation.