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 Input parameters and 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 + Tn)
= (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.