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How do you find the sum of the series?

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Give the sum of the following series:

a. SUM(as n=1, goes to infinity) pi^n / 4^n_1

b. SUM(as n=1, goes to infinity) 1/(n+1) - I/n

Indicate whether the following series are convergent or divergent. Indicate the test you apply to support your conclusion.

a. SUM(as n=1, goes to infinity) 2/(n-1)

b. SUM(as n=2, goes to infinity) 1/(n^2)(ln n)

c. SUM(as n=1, goes to infinity) 3^n/n!

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This solution looks at convergent and divergent series in an attached Word document.

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