Question

The famous mathematician associated with finding the sum of the first 100 natural numbers is
A.Pythagoras
B.Newton
C.Gauss
D.Euclid

Answer 1

Hint: Here, we have to find the mathematician associated with finding the sum of the first 100 natural numbers. A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Each mathematician mentioned in the option has given many different theorems and contributed to the field of mathematics.

Complete step-by-step answer:
We know that the famous mathematician associated with finding the sum of the first 100 natural numbers is Gauss.
Gauss was a young boy, he was given the problem to add the integers from 1 to 100. As the other students struggled with this lengthy addition problem, Gauss saw a different way to attack this problem. He listed the first 50 terms and then listed the second fifty terms in reverse order beneath the first set. You can think of it as he wrapped the series back onto itself. Gauss then added the paired values, noticing that the sums were all the same value (101).
Since he had 50 such pairs, he had multiplied 101 times 50 and obtained the sum of the integers from 1 to 100 to be 5050.
Therefore, the famous mathematician associated with finding the sum of the first 100 natural numbers is Gauss.
Hence, option C is the correct answer.

Note: We know that all of Gauss wrapped pairs have a sum of 101. While any pair could be used, it will be easier if we choose the first pair on the left, the addition of the first and last term, as these terms are usually more readily available. Gauss multiplied this sum times 50, which is half the number of terms in his sequence. So, we need to multiply times half of the number of terms in the sequence, which is represented by n . Thus, born the formula for the sum of n terms of an arithmetic sequence. It can be used for any number of terms.