How can i prove, 'Arithmetic Mean and Geometric Mean of n positive reals are equal' implies that 'all the n positive reals are the same'?

Results 1 to 2 of 2

- July 6th 2012, 10:53 AM #1

- Joined
- Jul 2012
- From
- India
- Posts
- 6

- July 6th 2012, 03:45 PM #2

- Joined
- Oct 2009
- Posts
- 5,563
- Thanks
- 786

## Re: A.M. and G.M. help

This Wikipedia page has several proofs of the contrapositive of your claim.