Question

1/3+1/8+1/15+1/24+1/35+1/48

Answer 1

这种类型的题是有规律的

看分母,3=1*3,8=2*4,15=3*5,24=4*6,35=5*7,48=6*8

化简得1/2*(1/1-1/3)+1/2*(1/2-1/4)+1/2*(1/3-1/5)+1/2*(1/4-1/6)+1/2*(1/5-1/7)+1/2*(1/6-1/8)=1/2*(1/1+1/2+1/3+1/4+1/5+1/6-1/3-1/4-1/5-1/6-1/7-1/8)=69/112