A sequence (an)(a_n)(an) satisfies, for every integer n≥2n\ge2n≥2, Sn=∑k=0nak=n2+3n−1.S_n=\sum_{k=0}^n a_k=\frac{n^2+3}{n-1}.Sn=k=0∑nak=n−1n2+3. What is ana_nan as n→∞n\to\inftyn→∞? A000B111C222D12\frac1221E∞\infty∞