Consider the infinite geometric series
∑
∞
n
=
1
−
4
(
1
3
)
n
−
1
. In this image, the lower limit of the summation notation is "n = 1".
a. Write the first four terms of the series.
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.
a. The first four terms of the series are -1, -1/3, -1/9, -1/27.
b. The series converges.
c. The sum of the series is 1/2.