We use induction to prove that 1^2 + 2^2 + ... + n^2 = (n(n+1)(2n+1))/6. As in, the sum of the first n squares is (n(n+1)(2n+1))/6. This is a straightforward induction proof with a bit of messy expansion, but that's the worst of it! Induction proofs are good to be very comfortable with, so let's cozy on up to this induction proof example!
Discrete Math Exercises: • Discrete Math Exercises
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