Question

What is the sum of the first 30 natural numbers ?
(A) 464
(B) 465
(C) 462
(D) 461

Answer 1

Hey

Here is your answer

= n(n+1) / 2
= 30 ( 30+1) / 2
= 30 (31) / 2
= 930/2
= 465
The correct option is (b) 465.

Hope it helps you!

Answer 2

Answer:

(B) 465

Step-by-step explanation:

As we know that,

1+ 2+ ... + n are n natural numbers and their sum are given by formula as:

$S_{n} = \frac{n(n+1)}{2}$

From the question we have

n = 30

Therefore,

$S_{n} = \frac{n(n+1)}{2}$

Now replace n by 30, we get

$S_{30} = \frac{30(30+1)}{2}$

$S_{30} = 465$

Therefore, the sum of the first 30 natural numbers = 465.

Hence, the correct option is (B).