Find the sum of the following geometric series infinity n = 0 (- 1) n 5 / 4n inf

Question

Find the sum of the following geometric series infinity n = 0 (- 1) n 5 / 4n infinity n = 0 (5 / 2n - 1 / 3n) Find the sum of the following geometric series (1 / 8) + (1 / 8)2 + (1 / 8)3 + (1 / 8)4 + . (- 2 / 3)2 + (- 2 / 3)3 + (-2 / 3)4 + . Find the sum of the following Telescoping series infinity n = 1 6 / (2n - 1)(2n + 1) 1 / 2.3 + 1 / 3.4 + 1 / 4.5 + 1 / 5.6 + ... Test for convergecy of the following series infinity n = 1 (1 - 1 / n)n infinity n = 1 ln (n / n + 1) Find the geometric series in terms of variable x for the ratio r satisfying the inequality r

Explanation / Answer

the rule is a/(1-r)

a is the first term of the series and r is the ratio

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