1/(1*3)+1/(3*5)+1/(5*7).+1/(49*51)=多少/是分数线,*是乘号_数学解答

1/(1*3)+1/(3*5)+1/(5*7).+1/(49*51)=多少
/是分数线,*是乘号

人气：303 ℃　时间：2019-10-09 01:51:06

解答

25/51
原式=1/2*(1-1/3)+1/2*(1/3-1/5)+.+1/2*(1/49-1/51)
=1/2*(1-1/3+1/3-1/5+.+1/49-1/51)
=1/2*(1-1/51)