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    The average of first 124 even numbers is
    Question

    The average of first 124 even numbers is

    A.

    126

    B.

    125

    C.

    124.5

    D.

    125.5

    Correct option is B

    Given:

    We need to find the average of the first 124 even numbers.

    Formula Used:
    The average of an arithmetic sequence can be calculated as:

    Average = First term+Last term2\frac{\text{First term} + \text{Last term}}{2}

    Solution:

    The first even number is 2, the second even number is 4, and so on. The n-th even number is given by:

    Even number = 2n

    So, the first 124 even numbers are:

    2, 4, 6,,2×124=248, \ldots, 2 \times 124 = 248

    First term = 2

    Last term = 248

    Thus, the average is:

    Average =2+2482=2502 \frac{2 + 248}{2} = \frac{250}{2}​ = 125
    The average of the first 124 even numbers is 125.

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