1-1/2-1/2×1/3-1/3×1/4-.-1/10×1/11＝?的简便算法1-1/2-1/2×1/3-1/3×1/4-.-1_数学解答

1-1/2-1/2×1/3-1/3×1/4-.-1/10×1/11＝?的简便算法
1-1/2-1/2×1/3-1/3×1/4-.-1/10×1/11＝1-1/2-1/2＋1/3-1/3＋1/4-.-1/10＋1/11这部怎么来的

人气：221 ℃　时间：2020-06-11 08:03:00

解答

因为1/n - 1/(n+1) =1/n *1/(n+1)
所以原式=1+【1-1/2+1/2-1/3+……】