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2020 AMC 10AProblem 8P1-10~3 minPrint
Sequences & SeriesSet up the equation/formula and compute; no special trick neededCompute small cases, spot the pattern, generalize

What is the value of

1+2+3−4+5+6+7−8+⋯+197+198+199−200?1+2+3-4+5+6+7-8+\cdots+197+198+199-200?

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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.