Question

三分之一加上十五分之一加上三十五分之一加上六十三分之一加上九十九分之一加上一百四十三分之一等于多少

Answer 1

原式 = 1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+1/(9×11)= (1/2)×[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]= (1/2)×[1-1/11]= (1/2)×(10/11)= 5/11
希望对你的学习有帮助,谢谢采纳O(∩_∩)O

Answer 2

1/3+1/15+1/35+1/63+1/99+1/143
=1/2x[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)+(1/11-1/13)]
=1/2x(1-1/13)
=1/2x12/13
=6/13