I need help solving this problem. Please write clearly :) I greatly appreciate it.

3) 10 points) Find the mistake(s) in the following proof fragment: Theorem: For any integer n2 1, 12+22 222n+en+1 n23 6 "Proof (by mathematical induction): Certainly the theorem is true for n- 1 because 12 1 and I +2+1. So the base case is true. +k+1 6 i(ak 2 For inductive step, suppose that for some integer k 1, k2- We must show that (k 1 1) (Note that it is a proof fragment, not the whole proof.) 6