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Given the table below:

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is there any way I can highlight the range A2:L2 and get Excel to automatically work out the amount that needs to be added for each cell (in this case it's 72) and then fill in the blanks like so:

enter image description here

Currently I'm calculating the difference manually, putting -199 into B2 and then using the fill handle to complete the rest, but I suspect there is a quicker way.

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Yes, it will be a little faster if you select all cells from -271 to 521 inclusive and choose Home –> Editing –> Fill –> Series. Excel will automatically select step 72, all you have to do is click OK

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