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What is the Sum of First 510 Natural Numbers?

Arithmetic Progression (AP) Calculator

getcalc.com's Arithmetic Progression (AP) calculator, formula & workout to find what is the sum of first 510 natural numbers.
130305 is a sum of number series from 1 to 510 by applying the values of input parameters in the formula.

How to Find Sum of First 510 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 510 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, . . . . , 509, 510.
The first term a = 1
The common difference d = 1
Total number of terms n = 510

step 2 apply the input parameter values in the formula
Sum = n/2 x (a + Tn)
= 510/2 x (1 + 510)
= 260610/2
1 + 2 + 3 + 4 + . . . . + 509 + 510 = 130305

Therefore, 130305 is the sum of positive integers upto 510.

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