Question

1/2+(1/3+3/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+·····+(1/60+2/

Answer 1

1/2=0.5

1/3+2/3=1

1/4+2/4+3/4=1.5

……

1/60+2/60+·····+58/60+59/60=29.5

规律0.5,1,1.5,2,……,29.5

1/2+(1/3+2/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+·····+(1/60+2/60+·····+58/60+59/60)

= 0.5+1+1.5+2+.+29.5

=(0.5+29.5)×59÷2

=885