In exercise 1-4, determine the convergence or divergence of the series. If the series is convergent, find the sum value.
1.
n + 3n
2
n=1
2. - ∞
X (−2)n 3n+1− 4n n=1
3. ∞ ∞
X n X 2 1) 2) cos( ) n+1 n n=1 n=1
4. ∞
X (−2)n
1) n+ 3n 2) 5n n=1 n=1
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) 2)
n=1n2 n=1 3
6. ∞ ∞
X X n+1
1) 2) n 3 +1 nn=1
In exercise 7-8, use ratio test to determine the convergence or divergence of the series.
7. ∞
X 2n+1
n3n−1 n=1
8. ∞
X n2
(−4)n n=1
