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Cody · Q12

Sequences & series

A sequence (an)(a_n) satisfies, for every integer n≥2n\ge2,

Sn=∑k=0nak=n2+3n−1.S_n=\sum_{k=0}^n a_k=\frac{n^2+3}{n-1}.

What is ana_n as n→∞n\to\infty?

A00
B11
C22
D12\frac12
E∞\infty

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