Find all series of consecutive positive integers whose sum is exactly 10,000.
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What if we don't require the consecutive integers to (all) be positive?

I played around with the formula for series sums for a bit but couldn't find an elegant way of getting to the answer other than using a big sledgehammer.

10000

1998, 1999,..., 2002

388, 389,..., 412

297, 298,..., 328

18, 19,..., 142

Posted by fwaff on 2004-07-21 08:47:55