Question

what is sum of first 100 natural number? with Sol.

Answer 1

Hi friend !

An AP is formed ,

1,2,3,4 .....

a = 1 , d = 1 , n = 100

Sn = n/2 [ 2a + (n-1)d]

S₁₀₀ = 100/2 [ 2 + 99 ]
       = 50 × 101
       = 5050

∴ Sum of first 100 natural numbers = 5050

Answer 2

There is a formula for finding sum of first "n" numbers.

Sum = n(n + 1)/2

Here n = 100
= 100 (100 + 1)/2
= 100 x 101/2
= 5050

So your required answer is 5050.

Hope This Helps You!