2/3+2/3x5+2/5x7+2/7x9+2/9x11+2/11x13=?

问题描述:

2/3+2/3x5+2/5x7+2/7x9+2/9x11+2/11x13=?

2/3=1-1/3
2/3x5 = 1/3-1/5
2/5x7 = 1/5-1/7
2/7x9 = 1/7-1/9
2/9x11=1/9-1/11
2/11x13= 1/11-1/13
以上各式左右分别相加
原式=1-1/13=12/13