Januar 6, 2021 N equals N plus one |Theorem: n=n+1Proof:(n+1)^2 = n^2 + 2*n + 1Bring 2n+1 to the left:(n+1)^2 – (2n+1) = n^2Substract n(2n+1) from both sides and factoring, we have:(n+1)^2…