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Default Summing a function


Is there a way to write a function, specify a range of integers, and
have Excel return the sum of the function evaluated at each integer?
The only way that I know how to do this is to actually create a list
with every integer and the corresponding value of the funciton at that
integer and then sum the list. This is not a good idea, however, when
the number of integers is in the thousands. Is there any way to get
around this?


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