Consider the following series. Answer the following questions.

Question

Consider the following series. Answer the following questions.

∑n=1 to ∞ x^n/5^n

a. Find the values of 

 a. Find the values for which the series converges: I got (-5,5)

b. Find the sum of the series for those values of x. Write the formula in terms of x

Not sure how to complete part b.

Answer 1

a) is correct

b) for any x in the interval the first term is x/5 and the common ratio is x/5

S = (x / 5) / [1 - (x / 5)]

S = x / (5 - x)