# Homework Help: Proof of convergent sequences

1. Apr 24, 2012

### e179285

How can we prove this statement?

It two subsequences (a2n) and (a2n-1) converge to the same value,then (an)) converges to that value also.

2. Apr 24, 2012

### tiny-tim

hi e179285!

just write out the δ,ε definition twice, once for each series, then adapt it

(instead of δ, and x < δ, you use n, and n > N)