Question

Find sum of first 100natural number

Answer 1

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 100 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, . . . . , 99, 100.

The first term a = 1

The common difference d = 1

Total number of terms n = 100

step 2 apply the input parameter values in the formula

Sum = n/2 x (a + Tn)

= 100/2 x (1 + 100)

= 10100/2

1 + 2 + 3 + 4 + . . . . + 99 + 100 = 5050

Therefore, 5050 is the sum of positive integers upto 100.