[Solved] MA1023 Homework 3

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

X (2)ⁿ 3n+1 4n n=1

X n X 2 1) 2) cos( ) n+1 n n=1 n=1

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

X X n+1

1) 2) n3 +1 nn=1

In exercise 7-8, use ratio test to determine the convergence or divergence of the series.

X 2n+1

n3n1 n=1

X n2

(4)n n=1