Algebra 2ChallengeWhy the Formulas Work ShareWhy the Formulas Work · Challenge problemEvaluate ∑k=1501k(k+1)\displaystyle\sum_{k=1}^{50}\frac{1}{k(k+1)}k=1∑50k(k+1)1 by telescoping (use 1k(k+1)=1k−1k+1\frac{1}{k(k+1)}=\frac1k-\frac{1}{k+1}k(k+1)1=k1−k+11).Check Show answer Walk through it step by step Practice more like this Review this concept