### Home > CALC > Chapter 9 > Lesson 9.4.1 > Problem 9-114

9-114.

Consider the infinite series below. For each, decide if it converges or diverges and justify your conclusion. If the series converges, find its sum.

For an infinite geometric series:

This is a geometric series with

.

Think of this as:

What is happening to the value of each term?

See the hint in part (b).

This is a geometric series with

.