Calculators & Converters

    What is the Sum of Natural Numbers from 100 to 200?

    Arithmetic Progression (AP) Calculator

    getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of numbers from 100 to 200.
    15150 is a sum of number series by applying the values of input parameters in the formula.

    How to find the Sum of Natural Numbers from 100 to 200?

    The below workout with step by step calculation shows how to find what is the sum of natural numbers or positive integers from 100 to 200 by applying arithmetic progression. It's one of an 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 100, 101, 102, 103, . . . . , 199, 200.
    The first term a = 100
    The common difference d = 1
    Total Number of terms n = 101

    step 2 apply the input parameter values in the formula
    Sum = n/2 x (a + Tn)
    = (101/2) x (100 + 200)
    = (101 x 300 ) / 2
    100 + 101 + 102 + 103 + . . . . + 199 + 200 = 15150

    Therefore, 15150 is the sum of positive integers between 100 and 101.

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