For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

What is the sum of all counting numbers?

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

What is the sum of all numbers from 1 to 100?

5050
Natural numbers from 1 to 100 ∴ The sum of all natural number from 1 to 100 is 5050.

What is sum of all natural numbers?

This is simple arithmetic progression. A Sum of natural numbers from 1 to n. The answer is n(n+1)/2.

What is it called when you add 1 2 3 4 5?

The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc. The nth partial sum is given by a simple formula: This equation was known to the Pythagoreans as early as the sixth century BCE. Numbers of this form are called triangular numbers, because they can be arranged as an equilateral triangle.

What is the sum of numbers from 1 to 200?

Sum of all 1 to 200 = 5050+15050=20,100.

What is the sum of first n numbers?

The formula of the sum of first n natural numbers is S=n(n+1)2 .

How 1729 is a magic number?

Ramanujan said that it was not. 1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 – cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729.

What is the sum of the numbers 1 to 60?

The sum of the first 60 integers is 1,830. Rather than starting at 1 and counting and adding up all of the integers to 60, we can use Gauss’ formula…. See full answer below.

What is the sum of 1 to 40?

Detailed Solution. The series can be divided into two, sum of odd place terms and even place terms for easy addition. ∴ The sum of the first 40 terms is 1030.

What is the sum of numbers from 1 to 500?

125250
The sum of integers from 1 to 500 can be calculated using formula, S = n(a + l)/2. Here, n = 500, a = 1, l = 500. ⇒ S = 500(1 + 500)/2 = 125250.