1 sqare + 2 square + 3 square +.............+n square >n cube +3 . prove it by mathematical induction.

Let *p*(*n*) be the statement given by:

*p*(*n*) = 1^{2} + 2^{2} + 3^{2} + .......+ n^{2} > n^{3} + 3

**Step 1:**

Let *p *(1) be true.

∴ *p *(1) = 1^{2} > 1^{3} + 3

⇒ 1 > 1 + 3

⇒ 1 > 4, which isn't true.

Hence, the given statement is incorrect. Please recheck it and get back to us.

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