MathCastle
ChallengeSuperchallenge

Challenge · Superchallenge problem

Compute ∑k=1∞1k(k+1)(k+3)\displaystyle\sum_{k=1}^{\infty} \frac{1}{k(k+1)(k+3)}. The sum is mn\tfrac{m}{n} in lowest terms; find m+nm + n.

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