来自卢智远的问题
【数学智力乐园规律1/1x2+1/2x3=1/1x2+1/2x3+1/3x4=1/1x2+1/2x3+1/3x4+1/4x5=要规律】
数学智力乐园规律1/1x2+1/2x3=1/1x2+1/2x3+1/3x4=1/1x2+1/2x3+1/3x4+1/4x5=要规律
1回答
2020-06-20 13:36
【数学智力乐园规律1/1x2+1/2x3=1/1x2+1/2x3+1/3x4=1/1x2+1/2x3+1/3x4+1/4x5=要规律】
数学智力乐园规律1/1x2+1/2x3=1/1x2+1/2x3+1/3x4=1/1x2+1/2x3+1/3x4+1/4x5=要规律
1/1x2=1/1-1/2;
1/2x3=1/2-1/3;
1/3x4=1/3-1/4;
1/4x5=1/4-1/5;
……
所以:
1/1x2+1/2x3=1/1-1/2+1/2-1/3=1-1/3=2/3;
1/1x2+1/2x3+1/3x4=1/1-1/2+1/2-1/3+1/3-1/4=1-1/4=3/4;
1/1x2+1/2x3+1/3x4+1/4x5=1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5=1-1/5=4/5;
……