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)

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- June 4th 2009, 01:09 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) - June 4th 2009, 01:34 AMTheAbstractionist
- June 4th 2009, 01:41 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) - June 4th 2009, 04:17 AMCaptainBlack
- June 4th 2009, 06:05 AMTheAbstractionist
- June 4th 2009, 06:54 AMCaptainBlack