The fifth term of a geometric sequence is 781.25. each previous term is 1/5 of the value of the current term. which recursive formula represents the situation?

The required recursive function is an = 5an-1

Let the general formula for the recursive function be expressed as:

where

If the fifth term is 781.25, hence a5 = 781.25

If the previous term is 1/5 of the value of the current term.

Hence R = 5

Substitute the given values into the formula:

781.25 = 5an-1

Hence the required recursive function is an = 5an-1

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Step-by-step explanation:

Given fifth term of a geometric sequence is 781.25.

.

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

the first one

step-by-step explanation:

just id the test.