|1/101-1/99|-|1/100-1/99|-|1/100-1/101|=_____

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|1/101-1/99|-|1/100-1/99|-|1/100-1/101|=_____

|1/101-1/99|-|1/100-1/99|-|1/100-1/101|=_____
|1/101-1/99|-|1/100-1/99|-|1/100-1/101|=_____

|1/101-1/99|-|1/100-1/99|-|1/100-1/101|=_____
1 * 2 + 2 * 3 + 3 * 4 +.+ 100 * 101
=三分之一* 1 * 2 * 3 +三分之一[2 * 3 * 4-1 * 2 * 3] +1/3 [3 * 4 * 5-2 * 3 * 4] +.+三分之一[100 * 101 * 102-99 * 100 * 101]
=三分之一[1 * 2 * 3 +2 * 3 * 4-1 * 2 * 3 + 3 * 4 * 5-2 * 3 * 4 +.+ 100 * 101 * 102-99 * 100 * 101]
= 1/3 * 100 * 101 * 102
= 343400