> 数学 >
1/(11*13*15)+1/(13*15*17)+.+1/(29*31*33)=
人气:254 ℃ 时间:2020-04-18 03:52:42
解答
1/n(n+2)(n+4)=1/4[1/n(n+2)-1/(n+2)(n+4)]
∴原式=1/4*(1/11*13-1/13*15+1/13*15-1/15*17+……+1/29*31-1/31*33)
=1/4*(1/11*13-1/31*33)
=1/4*(80/13*31*33)
=20/13299
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版