Home > APCALC > Chapter 9 > 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: