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    The average of first 101 even numbers is
    Question

    The average of first 101 even numbers is

    A.

    102

    B.

    103

    C.

    102.5

    D.

    101.5

    Correct option is A

    Given:

    Average of first 101 even numbers is

    Formula Used:

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

    Solution:

    First even number = 2

    101th even number = 2 × 101 = 202

    Average = 2+2022=2042=102\frac{2 + 202}{2} = \frac{204}{2} = 102  

    Alternate Solution:
    Average of first n even numbers = (n + 1)
    Total even numbers (n) = 101
    => Average = n + 1 = 101 + 1 = 102

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