How does Gauss add 1 to 100?

Gauss was not a calculating prodigy who added up all those numbers in his head. He had a deeper insight: If you “fold” the series of numbers in the middle and add them in pairs—1 + 100, 2 + 99, 3 + 98, and so on—all the pairs sum to 101.

How Gauss find the sum of terms?

Gauss noticed that if he was to split the numbers into two groups (1 to 50 and 51 to 100), he could add them together vertically to get a sum of 101. Gauss realized then that his final total would be 50(101) = 5050.

Who added 1 100?

Carl Friedrich Gauss
I love the story of Carl Friedrich Gauss—who, as an elementary student in the late 1700s, amazed his teacher with how quickly he found the sum of the integers from 1 to 100 to be 5,050.

What is Gauss series?

The Gauss Summation is named for Johann Karl Friedrich Gauss. He was a German mathematician. Gauss is one of history’s most influential mathematical thinkers. A legend suggests that Gauss came up with a new method of summing sequences at a very young age.

What did Gauss do for math?

Gauss wrote the first systematic textbook on algebraic number theory and rediscovered the asteroid Ceres. He published works on number theory, the mathematical theory of map construction, and many other subjects.

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.

Who is known as the Princess of mathematics?

Sophie Germain (1776-1831) is the first woman known who managed to make great strides in mathematics, especially in number theory, despite her lack of any formal training or instruction. She is best known for one particular theorem that aimed at proving the first case of Fermats Last Theorem.

What is Gauss known for?

Gauss is generally regarded as one of the greatest mathematicians of all time for his contributions to number theory, geometry, probability theory, geodesy, planetary astronomy, the theory of functions, and potential theory (including electromagnetism).