Calculators & Converters

    What is the Sum of First 100 Even Numbers?

    Arithmetic Progression (AP) Calculator

    getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 100 even numbers.
    10100 is a sum of number series by applying the values of input parameters in the formula.

    How to Find the Sum of First 100 Even Numbers?

    The below workout with step by step calculation shows how to find what is the sum of first 100 even numbers by applying arithmetic progression. It's one of the easiest methods to quickly find the sum of given number series.
    step 1 Address the formula, input parameters & values.
    Input parameters & values:
    The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 200.
    The first term a = 2
    The common difference d = 2
    Total number of terms n = 100

    step 2 apply the input parameter values in the AP formula
    Sum = n/2 x (a + Tn)
    = 100/2 x (2 + 200)
    = (100 x 202)/ 2
    = 20200/2
    2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 200 = 10100

    Therefore, 10100 is the sum of first 100 even numbers.

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