2014 is nothing

Number Theory Level 2

Compute:

2014 − 2012 − 2010 + 2008 + 2006 − 2004 − . . . − 12 − 10 + 8 + 6 − 4 − 2 2014-2012-2010+2008+2006-2004-...-12-10+8+6-4-2


The answer is 0.

Gabriel Ong by Gabriel Ong , 21, Singapore

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2 solutions

David Silverman
May 8, 2014

group them into groups of +2 and -2

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Harsh Poddar
May 2, 2014

till even factors of 4 answer is 0 upto 8 answer is 0 compute 6-4-2 we get 0 answer 0

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