Question

帮我完成一道数学题,1/1*3+1/3*5+1/5*7.+1/99*101=?

Answer 1

原式=(2/1*3+2/3*5+..+2/99*101)/2

=((3-1)/1*3+(5-3)/3*5+...+(101-99)/99*101)/2

=(1/1-1/3+1/3-1/5+...+1/99-1/101)/2

=(1-1/101)/2

=50/101