# What is the Sum of Natural Numbers from 1001 to 2000?

## How to find the Sum of Natural Numbers from 1001 to 2000?

The below workout with step by step calculation shows how to find what is the sum of natural numbers or positive integers from 1001 to 2000 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 1001, 1002, 1003, 1004, . . . . , 1999, 2000.

The first term a = 1001

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 + T_{n})

= (1000/2) x (1001 + 2000)

= (1000 x 3001 ) / 2

1001 + 1002 + 1003 + 1004 + . . . . + 1999 + 2000 = 1500500

Therefore, **1500500** is the sum of positive integers between 1001 and 1000.

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