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Summing square inverses (Posted on 2011-12-25) |
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Determine the value of :
(1+1-2+2-2)1/2 + (1+2-2+3-2)1/2 +......+ (1+2010-2+2011-2)1/2
*** For an extra challenge, solve this puzzle using only pen and paper.
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Submitted by K Sengupta
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Solution:
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The required value is: 2010 + 2010/2011.
For an explanation, refer to the solution posted by Jer in this location.
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