1+1⼀3+1⼀6+1⼀10+1⼀15+1⼀21+1⼀28

2025-03-04 09:14:55
推荐回答(3个)
回答1:

先算除法后相加
1+1/3+1/6+1/10+1/15+1/21+1/28
=1+2*(1/6+1/12+1/20+1/30+1/42+1/56)
=1+2*(1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8)
=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+2*(1/2-1/8)
=1+2*3/8
=1+3/4=7/4

回答2:

原式=1+1/3(1+1/2)+1/5(1/2+1/3)+1/7(1/3+1/4)
=1+1/2+1/6+1/12
=7/4

回答3: