What is the Sum of First 400 Natural Numbers?
How to Find Sum of First 400 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 400 by applying arithmetic progression. It's one of an easiest methods to quickly find the sum of any given number series.
step 1 Input parameters and values:
The number series 1, 2, 3, 4, . . . . , 399, 400.
The first term a = 1
The common difference d = 1
Total number of terms n = 400
step 2 apply the input parameter values in the formula
Sum = n/2 x (a + Tn)
= 400/2 x (1 + 400)
= 160400/2
1 + 2 + 3 + 4 + . . . . + 399 + 400 = 80200
Therefore, 80200 is the sum of positive integers upto 400.