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# Alternating series

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1. So I've been experimenting in my free time with creating series that alternate. For example, ones where the series go 1, -1, 1, -1, ...

However, I cannot for the life of me create one with alternate cubes (1, -8, 27, -64, 125, ...)

Any help? Thanks.
So I've been experimenting in my free time with creating series that alternate. For example, ones where the series go 1, -1, 1, -1, ...

However, I cannot for the life of me create one with alternate cubes (1, -8, 27, -64, 125, ...)

Any help? Thanks.
The sequence 1, -8, 27, -64 etc. is perfectly well defined (though divergent): the nth term is (-1)^(n+1) * n^3. Thus I don't see exactly what your issue is.
So I've been experimenting in my free time with creating series that alternate. For example, ones where the series go 1, -1, 1, -1, ...

However, I cannot for the life of me create one with alternate cubes (1, -8, 27, -64, 125, ...)

Any help? Thanks.
As in writing it in the form ?

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