END [GIVEAWAY] Can you work out this math question?

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GOMuniEsq

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Aug 25, 2012
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This is an arithmetic sum with a constant subtracted.
upload_2019-8-14_9-58-49.png

Or written in longhand,
upload_2019-8-14_10-3-33.png

Note that there are 101 terms inside the parentheses.
Note also that pairs of terms starting from opposite ends (50 of them) always add up to 100. The middle term, 50, stands alone with no counterpart. Rearranging,
upload_2019-8-14_10-8-23.png

Written another way,
upload_2019-8-14_10-18-18.png

But since
upload_2019-8-14_10-18-57.png
, and the 50s cancel out, this reduces to,
upload_2019-8-14_10-25-18.png

The answer is 5000.

This is a trivial case of the general formula for sums
upload_2019-8-14_10-57-47.png

Where a=0, d=1, and n=101
upload_2019-8-14_11-1-8.png
(minus 50 equals 5000)
 
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