Proof I

When added to the product of two consecutive integers larger one, we get square larger one. Is this true or not?

Result




Solution:

n(n+1)+(n+1)=n2+n+n+1=n2+2n+1=(n+1)2n(n+1)+(n+1)=n^2+n+n+1=n^2+2n+1=(n+1)^2

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