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Define a function s : N → N as follows: s(0)=1 s(n+1)=s(n)+2·(n+1)+1 Prove that s(n)=(n+1)^2 for...

Define a function s : N → N as follows:
s(0)=1 s(n+1)=s(n)+2·(n+1)+1

Prove that s(n)=(n+1)^2 for all n∈N.

Proof.

?

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