Suppose that {an} is a decreasing sequence with

lim an =0.

Show that {an} converges if and only if {2^n a(2n)} converges.

(as n goes to infinity)

Printable View

- Jun 4th 2009, 02:09 AMflash89decreasing sequence convergence
Suppose that {an} is a decreasing sequence with

lim an =0.

Show that {an} converges if and only if {2^n a(2n)} converges.

(as n goes to infinity) - Jun 4th 2009, 02:34 AMTheAbstractionist
- Jun 4th 2009, 02:41 AMflash89
Right sorry i meant,

Suppose that {an} is a decreasing sequence with

lim an =0.

Show that the sum of {an} converges if and only if {2^n a(2n)} converges.

(as n goes to infinity) - Jun 4th 2009, 05:17 AMCaptainBlack
- Jun 4th 2009, 07:05 AMTheAbstractionist
- Jun 4th 2009, 07:54 AMCaptainBlack