# What is the Sum of Natural Numbers from 501 to 1000?

## How to find the Sum of Natural Numbers from 501 to 1000?

The below workout with step by step calculation shows how to find what is the sum of natural numbers or positive integers from 501 to 1000 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 501, 502, 503, 504, . . . . , 999, 1000.

The first term a = 501

The common difference d = 1

Total Number of terms n = 500

step 2 apply the input parameter values in the formula

Sum = n/2 x (a + T_{n})

= (500/2) x (501 + 1000)

= (500 x 1501 ) / 2

501 + 502 + 503 + 504 + . . . . + 999 + 1000 = 375250

Therefore, **375250** is the sum of positive integers between 501 and 500.

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