The famous mathematician associated with finding the sum of the first 100 natural numbers is
a. Pythagoras
b. Newton
c. Gauss
d. Euclid

Solution:

An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. It is obtained by adding the same fixed number to its previous term.

Gauss is the famous mathematician associated with finding the sum of 100 natural numbers.

Therefore, the famous mathematician is Gauss.

✦ Try This: Find the sum of the first 22 terms of an AP in which d = 7 and 22nd term is 149

It is given that

Common difference d = 7

a₂₂ = 149

We know that

a₂₂ = a + (n - 1)d

149 = a + 7 (21)

149 = a + 147

a = 2

Here,

The formula to find the sum is

S_n = n/2 (2a + (n - 1)d)

Substituting the values

S₂₂ = 22/2 (4 + (22-1)7)

S₂₂ = 11 (4 + (21)7)

S₂₂ = 11 (151)

S₂₂ = 1661

Therefore, the sum of the first 22 terms is 1661.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 5

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NCERT Exemplar Class 10 Maths Exercise 5.1 Problem 14

The famous mathematician associated with finding the sum of the first 100 natural numbers is, a. Pythagoras, b. Newton, c. Gauss, d. Euclid

Summary:

The famous mathematician associated with finding the sum of the first 100 natural numbers is Gauss.

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☛ Related Questions:

• If the first term of an AP is -5 and the common difference is 2, then the sum of the first 6 terms i . . . .
• The sum of first 16 terms of the AP: 10, 6, 2,... is, a. -320, b. 320, c. -352, d. -400
• In an AP if a = 1, aₙ = 20 and Sₙ = 399, then n is, a. 19, b. 21, c. 38, d. 42