Calculus

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What is the sum of all the odd #s between 100 & 200??

  • Calculus -

    note that the sum of the first n odd numbers is n^2

    1=1
    1+3=4
    1+3+5=9
    ...

    There are 50 odds below 100
    There are 100 odds below 200

    sum of 1st 50 odds is 50^2
    sum of 1st 100 odds is 100^2

    sum of odds between 100 and 200 is thus 100^2-50^2 = 7500

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