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I'm trying to figure out how to reindex a series into another one. (Math posted in a moment.)
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Original series: \[\sum_{n = 1}^{\infty} (\frac{ n }{ 2n+3 })^{n}\]
I need to reindex that into...\[\sum_{n = ?}^{\infty}(\frac{ n }{ 2n })^{n}\]
Most of the problems that I have seen involving reindexing have reduced the index, but it looks like I'll need to do the reverse here, and I'm not so sure how to do that satisfactorily.
i dont think you can, not by just changing n
You just take a rubix cube and solve it.
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