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)

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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)
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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)
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

借鉴一下 不错