Question

Conjecture: The sum of the first 30 odd numbers is _?

I know the answer is 900 but can someone please explain to me the steps to find the answer?

Answer 1

use the first term as 1 and the common difference as +2
and one can use AP formulas for summation

Answer 2

Can you go a little more in depth with that explanation please?

Answer 3

here the number of terms is 30
Sum upto n terms =(30/2)((2*1) +(30-1)*2)=30/2*60=900