FIND THE VALUE OF 26 + 28+... +28TH EVEN NUMBER?

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  • Vaman
    Lv 7
    1 month ago

    26 + 28+... +28. Take 26 common. 26(1+2+4+ ...+2*28).

    1+2+4+ ...+56+55+.. (reverse order). You will get

    57+57+ ... 28 terms. The sum will be 1596, Make it half. 798. To this you add 26*28=728. The sum will be 1526.

  • 1 month ago

    26 + 28 + ... + 56 (28TH EVEN NUMBER):

    sum_(n=1)^16(2 n + 24) = 656

  • 1 month ago

    The 28th even number is 56.

    So if you want the sum of all even numbers from 26 to 56, there are 16 of them, so that's (16/2)(2*26 + (16 - 1)*2) = 656

    Unless you want the sum of the first 28 terms of 26 + 28 + ..., in which case the sum is (28/2)(2*26 + (28 - 1)*2) = 1484

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