问道数学算术题!必须用简便计算!过程结果都要有!1/（1x4）+1/(4x7)+1/(7x10)+1/(10x13)+1/(13x16)
问题描述：
问道数学算术题!必须用简便计算!过程结果都要有!
1/（1x4）+1/(4x7)+1/(7x10)+1/(10x13)+1/(13x16)
答
借鉴一下 不错
答
1/（1x4）+1/(4x7)+1/(7x10)+1/(10x13)+1/(13x16)
=1/4+1/3*（1/4-1/7）+1/3*（1/7-1/10）+1/3*（1/10-1/13）+1/3*（1/13-1/16）
=1/4+1/12-1/3*1/16
=5/16