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Not totally sure this thread belongs in this section, feel free to move.

I'm trying to formulate an algorithm for an unusual problem.

- Generate a pie chart with X number of wedges.

- Each wedge is X percentage bigger then the one before it.

- Percentage amounts of all wedges must add up to 100 (thereby completing the pie chart)

So for example, in Excel I can create a pie chart with 5 wedges, and each wedge is 20% bigger then the previous one. It gives me these numbers (rounded).

Wedge 1: 13.43797%

Wedge 2: 16.125564%

Wedge 3: 19.3506768%

Wedge 4: 23.22081216%

Wedge 5: 27.86497459%

But I got that result by trial and error of Wedge 1's value until the final output of the pie chart hit 100%. How do I calculate Wedge 1's value simply based off the number of wedges in the pie, and the percentage amounts from one wedge to the next?

I appreciate any help you guys can provide =]