Proof WritingChallengeInduction ShareInduction · Challenge problemThe inductive step for ∑i=1n1i2≤2−1n\displaystyle \sum_{i=1}^{n} \frac{1}{i^2} \le 2 - \frac1ni=1∑ni21≤2−n1 must show 2−1k+1(k+1)2≤2−1k+12 - \dfrac1k + \dfrac{1}{(k + 1)^2} \le 2 - \dfrac{1}{k + 1}2−k1+(k+1)21≤2−k+11. This reduces to which inequality?A1(k+1)2≤1k(k+1)\dfrac{1}{(k + 1)^2} \le \dfrac{1}{k(k + 1)}(k+1)21≤k(k+1)1B1(k+1)2≥1k(k+1)\dfrac{1}{(k + 1)^2} \ge \dfrac{1}{k(k + 1)}(k+1)21≥k(k+1)1C1(k+1)2≤1k+1−1k+2\dfrac{1}{(k + 1)^2} \le \dfrac{1}{k + 1} - \dfrac{1}{k + 2}(k+1)21≤k+11−k+21D1k≤1k+1\dfrac1k \le \dfrac{1}{k + 1}k1≤k+11Check Show answer Walk through it step by step Practice more like this Review this concept