1/1+2+1/1+2+3+1/1+2+3+4+...+1/1+2+3+4+..+2015+1/50
=1/(2+1).2:2+1/(3+1).3:2+1/(4+1).4:2+...+1/(2015+1).2015:2+1/50
=2/2.3+2/3.4+2/4.5+..+2/2015.2016+1/50
=2(1/2.3+1/3.4+1/4.5+..+1/2015.2016)+1/50
=2(1/2-1/3+1/3-1/4+1/4-1/5+..+1/2015-1/2016)+1/50
=2(1/2-1/2016)+1/50
=1007/1008+1/50
=25679/25200