I was wondering if anyone could help me out on this problem. Use mathematical induction to establish the following inequality.
(1+1/2)^n>=1+n/2, for n belonging to N (natural numbers)
n=1
(1+1/2)^1>=1+1/2 true for n=1
Assume n=k
(1+1/2)^k>=1+k/2
I am stuck on how to do the n=k+1. Any help is appreciated.