If ninNN and (2*1+1)+(2*2+1)+(2*3+1)+ . ...

If `ninNN` and `(21+1)+(22+1)+(23+1)+ . . .+(2n+1)=n^(2)+2n+5`
is true for n=m, then prove that it is also true for n=m+1. Can we conclude that is is true for all `ninNN` ?

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