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) = 1² + 2² + 3² + .......+ n² > n³ + 3

Step 1:

Let p (1) be true.

∴ p (1) = 1² > 1³ + 3

⇒ 1 > 1 + 3

⇒ 1 > 4, which isn't true.

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