AoPS

MATHEMATICS · Single correct · AoPS · Mathematics · Sequences & Series · Sequences & Series

Problem

\sum_{r=1}^{n} T_r = \frac{n(n+1)(n+2)}{3}

, then

\lim_{n \to \infty} \sum_{r=1}^{n} \frac{2008}{T_r} =

(a) 2008 (b) 3012 (c) 4016 (d) 8032