Calculators & Converters

    What is the Sum of First 1000 Natural Numbers?

    Arithmetic Progression (AP) Calculator

    getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 1000 natural numbers.
    500500 is a sum of number series from 1 to 1000 by applying the values of input parameters in the formula.

    How to Find Sum of First 1000 Natural Numbers?

    The below workout with step by step calculation shows how to find what is the sum of natural numbers or positive integers from 1 to 1000 by applying arithmetic progression. It's one of an easiest methods to quickly find the sum of any given number series.
    step 1 address the formula, input parameters & values.
    Input parameters & values:
    The number series 1, 2, 3, 4, . . . . , 999, 1000.
    The first term a = 1
    The common difference d = 1
    Total number of terms n = 1000

    step 2 apply the input parameter values in the formula
    Sum = n/2 x (a + Tn)
    = 1000/2 x (1 + 1000)
    = 1001000/2
    1 + 2 + 3 + 4 + . . . . + 999 + 1000 = 500500

    Therefore, 500500 is the sum of positive integers upto 1000.

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