Hobart and William Smith Colleges Infinite Geometric Series Problems

a. Write the first four terms of the series.

b. Does the series diverge or converge?

c. If the series has a sum, find the sum.

Show all work.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Consider the infinite geometric series Σ-4 (3)
:)”-1 In this image, the lower limit of the summation
notation is “n = 1”.
a. Write the first four terms of the series.
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.