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  • $\begingroup$ Thanks a lot for your kind response, the reason I used Reduce is that, I have more complicated expressions which Sum is just part of that. for some statements, i have a parametric array . so we used SUM. please see my edited as it gets long here. thanks $\endgroup$ Commented Apr 27, 2021 at 20:33
  • $\begingroup$ can we rewrite Total with Sum, I might need to get sum of a range of indices not all, thanks $\endgroup$ Commented Apr 27, 2021 at 22:22
  • $\begingroup$ I'm not totally sure what you mean by parametric array, but I added a couple ways to extract and total sublists of lists! I don't quite know what your added code does, though. (I'm also not sure why we're multiplying and dividing by 1 at various places) $\endgroup$ Commented Apr 27, 2021 at 22:47
  • $\begingroup$ Ah, wait, I think I understand. I think that would typically be called a symbolic array in Mathematica! $\endgroup$ Commented Apr 27, 2021 at 22:49
  • $\begingroup$ added another potential section, but I'm still not sure it addresses what you need. Let me know if it doesn't! (I might need a fuller description of what problem you're actually trying to solve.) $\endgroup$ Commented Apr 27, 2021 at 22:55