计算1/4+1/(4x7)+1/(7x10)+……+1/(94x97)+1/(97x100)

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计算1/4+1/(4x7)+1/(7x10)+……+1/(94x97)+1/(97x100)计算1/4+1/(4x7)+1/(7x10)+……+1/(94x97)+1/(97x100)计算1/4+1/

计算1/4+1/(4x7)+1/(7x10)+……+1/(94x97)+1/(97x100)
计算1/4+1/(4x7)+1/(7x10)+……+1/(94x97)+1/(97x100)

计算1/4+1/(4x7)+1/(7x10)+……+1/(94x97)+1/(97x100)
裂项法,1/3(1-1/4+1/4-1/7+1/7-1/10+……+1/94-1/97+1/97-1/100)
=1/3(1-1/100)
=33/100

1/4+1/(4x7)+1/(7x10)+……+1/(94x97)+1/(97x100)
=1/4+1/3乘(1/4-1/7+1/7-1/10+……+1/94-1/97+1/97-1/100)
=1/4+1/3乘(1/4-1/100)
=1/4+1/3乘24/100
=33/100

抱歉,之前打错了。。。十分抱歉

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