A Warm Welcome to 2015

Sum of first $n$ odd numbers is $n^2$ and here $n=1008$ . Required sum is ${1008}^2=\boxed{1016064}$ .

the series is in a.p. where a=1 d=2 2015=1+(n-1)2 2014/2=n-1 1008=n

so, s=1008/2{1+2015} =504{2016} =1016064