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From Partial Sums to a Series

Difficulty: Medium · Topics: Calculus, Series, Sequences

Qismiy yig‘indilardan qatorga

For the sequence \a n\ we have Σ k=1^na k=n^2.

Find the sum of the series Σ n=1^∞frac1a na n+1.

\a n\ ketma-ketlik uchun Σ k=1^na k=n^2.

Σ n=1^∞frac1a na n+1 qatorning yig‘indisini toping.