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I need to show that the infinite series 1+ 1/3 + 1/5 + 1/7 + 1/9 + ....... diverges.

Am I correct in saying that it is a subsequence of the divergent harmonic series, therefore diverges?

Is there some other more elaborate (and correct) way of grouping the terms to show that they are greater than some fraction? Like the harmonic series has groupings that are all 1/2, so you get 1/2 + 1/2 + 1/2 +.....

Thanks

CC

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# Divergent series

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