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Default How do I put a variable column number in the sum() function?

I want to sum cells based on a number contained in cell A1
For example:
I currently have the formula =SUM(F7:I7) which sums 4 of the cells in
row 7 (form F to I).
I would like to be able to have the number of cells in row 7 determined
by a value in a specific cell such as cell A1 (in this example would
have contained the number 4).

I do not seem to be able to functions of any kind in the range sum
expression?



 
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