Let be a sequence of real numbers such that for prove that the sequence converges.

My first thought was to show that was a Cauchy sequence but am having trouble doing so. Any ideas about what else I should try?

Results 1 to 7 of 7

- November 3rd 2007, 07:01 PM #1

- Joined
- Nov 2006
- From
- Florida
- Posts
- 228

- November 3rd 2007, 07:15 PM #2

- November 3rd 2007, 07:29 PM #3

- Joined
- Nov 2005
- From
- New York City
- Posts
- 10,616
- Thanks
- 9

Originally Posted by**maokid**

Let be a sequence so that:

Prove that is a convergent sequence.

It is extremely similar to your problem. What Jhevon said is basically the solution, you should use Cauchy sequence.

- November 3rd 2007, 07:33 PM #4

- November 3rd 2007, 07:59 PM #5

- Joined
- Nov 2006
- From
- Florida
- Posts
- 228

- November 3rd 2007, 08:05 PM #6

- Joined
- Nov 2005
- From
- New York City
- Posts
- 10,616
- Thanks
- 9

- November 3rd 2007, 08:33 PM #7

- Joined
- Nov 2006
- From
- Florida
- Posts
- 228