HW 3, MA 1023
In exercise 1-4, determine the convergence or divergence of the series. If the series is
convergent, find the sum value.
1.
X∞
n=1
5
2
n
+
(−1)n+1
3
n
2. -
X∞
n=1
3
n+1 −
(−2)n
4
n
3.
1)X∞
n=1
n
n + 1
2)X∞
n=1
cos(2
n
)
4.
1)X∞
n=1
n +
(−2)n
3
n
2)X∞
n=1
4
n+1
5
n
In exercise 5-6, determine the convergence or divergence of the series. Specify the test
you use in determining the convergence or divergence of the series.
5.
1)X∞
n=1
3
n
3
2
2)X∞
n=1
2n
−
1
2
3
6.
1)X∞
n=1
5
√
n + 1
2)X∞
n=1
n + 1
n
3 + 1
In exercise 7-8, use ratio test to determine the convergence or divergence of the series.
7.
X∞
n=1
2
n+1
n3
n−1
8.
X∞
n=1
n
2
(−4)n
