College Algebra & Trigonometry, 2018a

302 CHAPTER 6. SEQUENCES AND SERIES
Exercises 6.4
Find the sum for each of the following finite geometric series.
1)
7∑
( ) k−1 1
3
2)
4
7∑
( ) k−1 1
16
3)
3
7∑
3 k
k=1
k=1
k=1
4)
∑10
2 k−1 5)
5∑
4 k−1 6)
4∑
6 k−1
k=1
k=1
k=1
7)
7∑
2 k 8)
8∑
3 k 9)
5∑
2 k+2
k=1
k=1
k=1
10)
6∑
1
3 k−4
Determine whether each of the following geometric series has a sum. If it does,
use the formula S n =
a to find the sum.
1 − r
11)
∞∑
( ) k−1 2
5 ∗
12)
3
k=1
∞∑
( k−1 1
12 ∗
2)
k=1
13)
∞∑
( ) k−1 3
14)
4
k=1
∞∑
( k−1 3
5)
k=1
15)
∞∑
( ) k+1 1
16)
5
k=1
∞∑
( k+1 1
4)
k=1