Carl Gauss uses the pairing method to solve it and the sum of first 100 natural number is 5050.
Sum of the number:
Sum is the way of putting things together.
If the sum two or more numbers together, make a new total by adding it.
Given,
Carl gauss and his fellow classmates were asked to find the sum of the first 100 natural numbers.
The teacher expected this to take some time, but gauss was done almost immediately.
Gauss used this same method to sum all the numbers from 1 to 100.
But he realized that, adding them will take some amount of time.
So, he will pair the numbers, like
=> 1 + 100 = 101
=> 2 + 99 = 101
=> 3 + 98 = 101
.
.
.
.
=> 50 + 51 = 101
That meant he had 50 pairs, each with a sum of 101.
He could then multiply
=> 50 x 101 = 5050
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