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`.