SOLUTION: Use mathematical induction to prove the following: (a) For each natural number n with n > or equal to 2, 3^n > 1 + 2^n.

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Question 495865: Use mathematical induction to prove the following:
(a) For each natural number n
with n > or equal to 2, 3^n > 1 + 2^n.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The base cases (n=1, 2) hold. For some n>2, if

, then



from our original inequality, we establish





Hence, and the induction is complete.