An analysis question.

I'm given that (S(n)) is a sequence such that |s(n+1) - s(n)| < 2^(-n) for any n in N. How do I prove that (S(n)) is a cauchy sequence? I figure I'm going to have to make use of the Triangle ineq. and some crafty summation, but I can't quite get it to work. Any suggestions?

Nevermind, I've got it.

Isn't it kinda, really obvious?

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