### Home > CALC3RD > Chapter Ch9 > Lesson 9.1.3 > Problem 9-44

9-44.

Determine whether each of the following infinite series converges or diverges. Explain each answer briefly. If the series converges, calculate its exact sum.

What is

?

This is a geometric sequence with a ratio of

.

This is also a geometric sequence. What is the ratio? (See part (b).)

This can be written as a telescoping sum: