LEARNING GOALS: to determine whether a given series is a geometric series by finding a common ratio;

to determine whether a geometric series converges or diverges and to find the sum of a convergent geometric

series using its common ratio.

1. Determine whether the following series converge or diverge. If a series converges, then find its sum.

4 16 64 256

9 27 81

(a)

3

(b) Σ3

n=1

(3)

(c) Σ

n=1

n

22n + 3n

52

+...