Find the first five partial sums of the given series and determine whether the s

Question

Find the first five partial sums of the given series and determine whether the series appears to be convergent or divergent., If it is convergent, find its appropriate sum.

Find the first five partial sums of the given series and determine whether the series appears to be convergent or divergent. If it is convergent find its approximate sum. 1/25 + 1/36 + 1/49 + 1/64 + 1/81 + ... S1 = (Type an integer or decimal rounded to four decimal places as needed.) S2 = (Type an integer or decimal rounded to four decimal places as needed.) S3 = (Type an integer or decimal rounded to four decimal places as needed.) S4 = (Type an integer or decimal rounded to four decimal places as needed.) S5 = (Type an integer or decimal rounded to four decimal places as needed.) Does this series appear to converge or diverge? If it converges, what is its approximate sum? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. The series appears to converge to . (Round to two decimal places as needed.) The series appears to diverge.

Explanation / Answer

S1 = 1/25

s2 = 0.0677

S3 = 0.0881

s4= 0.1038

s5 = 0.1161

By comparison test series converges and sum is 0.2213

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