What is the Sum of First 2000 Natural Numbers?
getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 2000 natural numbers.
2001000 is a sum of number series from 1 to 2000 by applying the values of input parameters in the formula.
How to Find Sum of First 2000 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 2000 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, . . . . , 1999, 2000.
The first term a = 1
The common difference d = 1
Total number of terms n = 2000
step 2 apply the input parameter values in the formula
Sum = n/2 x (a + Tn)
= 2000/2 x (1 + 2000)
= 4002000/2
1 + 2 + 3 + 4 + . . . . + 1999 + 2000 = 2001000
Therefore, 2001000 is the sum of positive integers upto 2000.
