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2009 AMC 10BProblem 21P21-25~3 minPrint
Modular ArithmeticSequences & SeriesCompute small cases, spot the pattern, generalize

What is the remainder when 30+31+32+⋯+320093^0 + 3^1 + 3^2 + \cdots + 3^{2009} is divided by 8?

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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.