Prove that 12 + 22 + 32 + · · · + n2 = 1 6n(n + 1)(2n + 1) for every n ∈ N
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Step 1
To prove the formula \[ 1 + 2^2 + 3^2 + \ldots + n^2 = \frac{n(n + 1)(2n + 1)}{6} \] for every \( n \in \mathbb{N} \), we will use mathematical induction. Show more…
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