1+3* Does the series converge? If so, find the sum. If not, explain why. k=1

Q: Find the sum of the convergent series. 8 4 Σ n(n + 2) n = 1

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

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Q: Rewrite the series as a sum. E(2k 1)

A: Given that, ∑k=38(2k-1)   We have to rewrite series into sum.

Q: 10. ∞ Show that the series converges: Σ n=1 a. Find the 25th partial sum: S25 · (−1)n+1 2η2 +1

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Q: Evaluate the series or state that it diverges.

A: The series ∑k=1∞πkek+1. We have to check whether the series is convergent or divergent.