The mean of the series a,a+d,a+2d,…,a+2nd, is
a+(n−1)d
a+nd
a+(n+1)d
none of these
We have
Required mean =a+(a+d)+(a+2d)+…+(a+2nd)2n+1
=2n+12{2a+(2n+1−1)d}2n+1=a+nd