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    The sum of the even numbers between 1 and 111 is:
    Question

    The sum of the even numbers between 1 and 111 is:

    A.

    3082

    B.

    3076

    C.

    3080

    D.

    3078

    Correct option is C

    Given:

    Find the sum of even numbers between 1 and 111.

    Formula Used:
    Sum of n terms of an arithmetic progression (AP):

    Sn=n2(a+l)S _n = \frac{n}{2} (a + l)​​

    Number of terms:

    n=lad+1n = \frac{l - a}{d} + 1

    Solution:

    n=11022+1=54+1=55 S=552(2+110)=552×112=55×56=3080n = \frac{110 - 2}{2} + 1 = 54 + 1 = 55 \\ \ \\S = \frac{55}{2} (2 + 110) = \frac{55}{2} \times 112 = 55 \times 56 = 3080

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