Suppose that 0<r<1 and <

Show that is Cauchy.

Thank you!

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- February 16th 2011, 04:27 PMmremwohelp! show this sequence is Cauchy
Suppose that 0<r<1 and <

Show that is Cauchy.

Thank you! - February 16th 2011, 04:32 PMPlato
- February 16th 2011, 04:33 PMmremwo
yes i just edited it! sorry!

- February 16th 2011, 05:42 PMDrSteve
Some hints:

Use the generalized triangle inequality.

is a convergent geometric series, thus the "tail" of the series can be made arbitrarily small. - February 16th 2011, 07:40 PMmremwo
I'm sorry, I still have no idea what to do. Could you give me another hint? This concept is very hard for me to grasp

EDIT: nevermind, i got it! thank you!