SOLUTION: prove that 1/n > 1/2power of n by using mathematical induction
Algebra
->
Proofs
-> SOLUTION: prove that 1/n > 1/2power of n by using mathematical induction
Log On
Logic: Proofs
Logic
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Proofs
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
.