The sum of first 100 natural numbers is …………………. A) 405

1.	The sum of first 100 natural numbers is …………………. A) 4050 B) 4500 C) 5500 D) 5050
Answer» Correct option is (D) 5050 First natural numbers is 1. \(\therefore a=1\) \(100^{th}\) natural numbers is \(100=l\) (Let) \(\therefore S_n=\frac n2(a+l)\) \(=\frac{100}2(1+100)\) \((\because a=1,n=100\;\&\;l=100)\) \(=50(101)\) = 5050 Correct option is D) 5050

The sum of first 100 natural numbers is …………………. A) 4050 B) 4500 C) 5500 D) 5050

Answer»

Correct option is (D) 5050

First natural numbers is 1.

\(\therefore a=1\)

\(100^{th}\) natural numbers is \(100=l\) (Let)

\(\therefore S_n=\frac n2(a+l)\)

\(=\frac{100}2(1+100)\) \((\because a=1,n=100\;\&\;l=100)\)

\(=50(101)\) = 5050

Correct option is D) 5050