SOLUTION: Pls help USE MATHEMATICAL INDUCTION TO PROVE THAT (n+1)^n < 2n^2 for all natural numbers n &#8805; 3

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Question 1072688: Pls help
USE MATHEMATICAL INDUCTION TO PROVE THAT
(n+1)^n < 2n^2 for all natural numbers
n ≥ 3
Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.
Pls help
USE MATHEMATICAL INDUCTION TO PROVE THAT
(n+1)^n < 2n^2 for all natural numbers
n >= 3
~~~~~~~~~~~~~~~ 

The statement is wrong:

at n = 3:  the left side is    =  = 64,

           the right side is   = 2*9 = 18.


Even if to read the right side as , then at n= 3 this expression is  =  = 36.

Wrong statement.


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