Question

1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180

Answer 1

1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180

=1/2*(1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)

=1/2*(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)

=1/2*(1/2-1/10)

=1/2*2/5

=1/5