### Home > CALC3RD > Chapter Ch9 > Lesson 9.4.1 > Problem 9-113

9-113.

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

.