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Question: How to expand a double sum for a list of sequences?

Question:How to expand a double sum for a list of sequences?

Teep 195 Maple
sum sequence
January 20 2017
0

Can somebody please expand the following double sum to produce a list of sequences?

(Sum(f[i], i = 0 .. 1))*(Sum(g[i, j, k], j = 0 .. 1)) for k = {1,2}

I need to make sure the operation order is correct, so I would like to verify my workings.

Thanks!
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