Does there exist a sequence of real nonzero numbers whose sum converges to 0?(adsbygoogle = window.adsbygoogle || []).push({});

I would think there isn't, but I'm interested in people's opinions and arguments.

For any nonzero m, a series of nonzero numbers whose sum converges to m can easily be constructed using the formula: [itex] \sum ^{\infty}_{n=1}m(0.5)^{n} [/itex]

But that is for nonzero m, what if you wanted to construct a series whose sum converged to 0?

BiP

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# Sum converging to 0

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