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Futeruno Kanzuki

26/07/2017 at 12:58
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Give A = 5 + 52 + 53 + ................ + 52012

Prove that : A \(⋮\) 65




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    Kayasari Ryuunosuke Coordinator 26/07/2017 at 13:03

    A = 5 + 52 + 53 + .................. + 52012

    A = (5 + 52 + 53 + 54) + (55 + 56 + 57 + 58) + ................... + (52009 + 52010 + 52011 + 52012)

    A = (5 + 25 + 125 + 625) + 54.(5 + 25 + 125 + 625) + ....................... + 52008.(5 + 25 + 125 + 625)

    A = 780.1 + 54.780 + ......................... + 52008.780

    A = 780.(1 + 54 + ......................... + 52008)

    A = 12.65.(......................)

    => A \(⋮\) 65

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