Hello all. I'm having trouble on the following homework problem. It seems like it should be easy, but I'm just now sure how to approach it(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Let [tex](s_n)[/tex] be a sequence st [tex]|s_{n+1} - s_n | < 2^{-n}, \forall n \in \mathbb{N}[/tex]

show that [tex](s_n)[/tex] converges

3. The attempt at a solution

well I thought the easiest way to prove it would be to show it's a Cauchy sequence and therefore convergent, but perhaps that's the wrong approach. What's a good starting point for a problem like this?

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# Homework Help: Proving a sequence is Cauchy?

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