Question

Find the sum of first 234 odd natural numbers.

Answer 1

Sum of first 234 odd natural no.= n²

n=234 then,

n²= 234²

n²=54756 so, the sum of 234 odd natural numbers is 54756.

Answer 2

Solution:

The number series 1, 3, 5, 7, 9, . . . , 234

First term, a = 1

Common difference, d = 2

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

S234 = 234/2 [2(1) + (234 - 1)(2)]

= 117 [2 + (233)(2)]

= 117 (2 + 466)

= 117 (468)

= 54756

Hope this will be helpful to you