
设计程序,求1/3+1/6+1/9+……+1/30
1个回答
关注

展开全部
设计程序,求1/3+1/6+1/9+……+1/30
您好亲,=(1/3)[1+1/(1+2)+1/(1+2+3)+······+1/(1+2+3+······+33)]
=(1/3)[2/(2×1)+2/(3×2)+2/(4×3)+······+2/(34×33)]
=(2/3)[(1-1/2)+(1/2-1/3)+(1/3-1/4)+······+(1/33-1/34)]
=(2/3)(1-1/34)
=(2/3)×(33/34)
=11/17.
希望可以帮到您哦。
咨询记录 · 回答于2022-05-24
设计程序,求1/3+1/6+1/9+……+1/30
设计程序,求1/3+1/6+1/9+……+1/30您好亲,=(1/3)[1+1/(1+2)+1/(1+2+3)+······+1/(1+2+3+······+33)]=(1/3)[2/(2×1)+2/(3×2)+2/(4×3)+······+2/(34×33)]=(2/3)[(1-1/2)+(1/2-1/3)+(1/3-1/4)+······+(1/33-1/34)]=(2/3)(1-1/34)=(2/3)×(33/34)=11/17.希望可以帮到您哦。
如果我的解答对您有所帮助,还请给个赞(在左下角进行评价哦),期待您的赞,您的举手之劳对我很重要,您的支持也是我进步的动力。最后再次祝您身体健康,心情愉快!