Question

数学题1/1*3+1/3*5+1/5*7+．．．．1/97*99+1/99*101

数学题1/1*3+1/3*5+1/5*7+．．．．1/97*99+1/99*101＝？谢谢！

Answer 1

0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101

Answer 2

0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
就是这样!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 3

1/n-1/(n+2)=1/(n*(n+2))
所以题=0.5（1-1/3+1/3-1/5......+1/99-1/101)
=0.5*(1-1/101)
=50/101

Answer 4

0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101
就是这样

Answer 5

0.5(1-1/3+1/3-1/5+1/5............-1/101)=0.5(1-1/101)=50/101

Answer 6

50/101