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2006 AMC 10BProblem 1P1-10~1 minPrint
Sequences & SeriesExponents, Logarithms & RadicalsExploit symmetry to reduce work or pair up objects

What is (−1)1+(−1)2+...+(−1)2006(-1)^{1} + (-1)^{2} + ... + (-1)^{2006}  ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.