Question

Maths
1) Find the sum of all odd numbers from 1 to 150?​

Answer 1

Step-by-step explanation:

Answer

Clearly, the odd natural numbers from 1 to 150 are 1,3,5,...,149.

This is an AP with first term a=1, common difference d=2 and last term a

n

=l=149.

Let there be n terms in this AP.

Then,

a

n

=149

⇒a

n

=a+(n−1)d

149=1+(n−1)×2

149=1+2n−2

2n=150

∴n=75

∴ required sum =Sn=n/2(a+l)

75/2(1+149)

=5625