# What is the Sum of Natural Numbers from 51 to 100?

## How to find the Sum of Natural Numbers from 51 to 100?

The below workout with step by step calculation shows how to find what is the sum of natural numbers or positive integers from 51 to 100 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 51, 52, 53, 54, . . . . , 99, 100.

The first term a = 51

The common difference d = 1

Total Number of terms n = 50

step 2 apply the input parameter values in the formula

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

= (50/2) x (51 + 100)

= (50 x 151 ) / 2

51 + 52 + 53 + 54 + . . . . + 99 + 100 = 3775

Therefore, **3775** is the sum of positive integers between 51 and 50.