SOLUTION: prove that 1/n > 1/2power of n by using mathematical induction

SOLUTION: prove that 1/n > 1/2power of n by using mathematical induction

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Question 933035: prove that 1/n > 1/2power of n by using mathematical induction
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
True for n = 1

Assume

for some fixed

Then

by multiplying both sides by 1/2. However

since n is at least 1. It follows from transitivity that

so the statement is true for all

.
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