CPM Homework Help : CALC Problem 9-99

Consider the infinite series below. For each, decide if it converges or diverges and justify your conclusion. If the series converges, find its sum. Homework Help ✎
1. 4 + 4 + 4 + 4 + ...
3. 10 + 9 + 8 + 7 + ...

For an infinite geometric series:

Hint (a):

This is a geometric series with r = 1.

Hint (b):

This is a geometric series with r = 1/10.

Hint (c):

This is an arithmetic series. Does an infinite arithmetic series have a finite sum?

Hint (d):

This is a geometric series with r = –3/5.