MathCastle
Proof WritingMedium

Proof Writing · Medium problem

In an induction proof that 12+22+⋯+n2=n(n+1)(2n+1)61^2 + 2^2 + \cdots + n^2 = \dfrac{n(n+1)(2n+1)}{6}, the inductive step assumes the formula for n=kn = k. Which term is added to both sides to reach n=k+1n = k + 1?

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