Question:

What is the sum of the first 30 even numbers?show me what is the formula.?

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What is the sum of the first 30 even numbers?show me what is the formula.?

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  1. 2 + 4 + 6 + ... + 60

    = 2(1 + 2 + 3 + ... + 30)

    = 2 30 X 31/2

    = 930.

    Formula for sum of even numbers upto the last number n is

    (n/2)(n/2+1).


  2. sum of numbers = n/2[2a + (n – 1)d]

    where n = total numbers = 30

    a = first number = 2

    d = common difference in numbers (here) = 2

    sum = 30/2[2 × 2 + 2(30 – 1)]

    = 15 × [4 + 58]

    = 15 × 62 = 930

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  3. 2+4+6+8+9+10+12+14+16+18+20+22+24+26+28+...

    your sum is 870

  4. f(x) = x(x + 1)

    f(30) = 30(30 + 1)

    f(30) = 30(31)

    f(30) = 930

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