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

9-114.

For an infinite geometric series:

This is a geometric series with *r* = 1/2.

Think of this as:

0.9 + (0.9 + 0.09) + (0.9 + 0.09 + 0.009) + ...

What is happening to the value of each term?

See the hint in part (b).

This is a geometric series with *r* = –1/2.