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This is a very difficult problem - please help!!! Let h(n) and and S(n) be the partial sums of the harmonic and alternating harmonic series. Show that S(2n) = h(2n) - h(n).

Mathematics
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Is this calling for an inductive proof? or just algebraic manipulation?
Anything!
I think algebraic manipulation would be preferable, though

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...er has your class talked about inductive proofs? if not, its not worth going into.
I have seen them before, but I'm not good enough at them to implement one here and we haven't talked about it at all in my math class.

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