1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+_数学解答

1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+…+1/(49+149)+1/(50+150)
第一行是分子,第二行是分母

人气：362 ℃　时间：2019-11-04 14:03:20

解答

分子=1-1/2+1/3-1/4+1/5-1/6……+1/99-1/100=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-2*（1/2+1/4+1/6+.+1/100）=1+1/2+1/3+1/4+1/5+1/6……+1/99+1/100-（1+1/2+1/3+.+1/50）=1/51+1/52+1/53+.+1/100分母=1/102+1/10...