S(100)=a(1)+a(2)+a(3)+…+a(99)+a(100)
=a(1)+a(3)+…+a(99)+a(2)+a(4)+…+a(100)
=[a(1)+a(3)+…+a(99)]+q[a(1)+a(3)+…+a(99)]
=60+(1/2)×60
=90