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) (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
 > 3(1+2^n))
 = (1 + 2^{n+1}) + (2 + 2^n))
Hence, )
and the induction is complete.
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