Question:26.Find the sum of all odd numbers upto 100.
Answer
The given numbers are `1,3,5,7.....99,`
This an A.P with a=1 and d =2.
Let it contain n terms.Then,
`1+(n-1) xx 2=99 or n=50.`
`:.`Required sum =`n/2 ("first terms" + "last terms")`
=`50/2 xx (1+99)=2500`.