1/1X4+1/4X7+1/7X10+...+1/100X103
=1/3×(1-1/4)+1/3×(1/4-1/7)+1/3×(1/7-1/10)+...+1/3×(1/100-1/103)
=1/3×(1-1/4+1/4-1/7+1/7-1/10+...+1/100-1/103)
=1/3×(1-1/103)
=1/3×102/103
=34/103
希望对您有所帮助
1/1X4+1/4X7+1/7X10+...+1/100X103=
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