初一数学奥数题求1⼀3*7+1⼀7*11+1⼀11*15+……+1⼀55*59

2024-12-04 04:20:01
推荐回答(4个)
回答1:

1/3*7=1/4(1/3-1/7)
1/7*11=1/4(1/7-1/11)
...
原式=1/4[(1/3-1/7)+(1/7-1/11)+(1/11-1/15)+...+(1/55-1/59)]
=1/4(1/3-1/59)
=1/4*(59-3)/177
=14/177

回答2:

1/3*7+1/7*11+1/11*15+……+1/55*59=1/4*(1/3-1/7+1/7-1/11+……+1/55-1/59)=1/4*(1/3-1/59)
下面的自己慢慢算

回答3:

1/3*7+1/7*11+1/11*15+……+1/55*59
=1/4*(1/3-1/7+1/7-1/11+1/11-1/15+...+1/55-1/59)
=1/4*(1/3-1/59)
=1/4*(59/177-3/177)
=1/4*56/177
=14/177

回答4:

14/177