Sum to n terms of the series (1)/(1 cdot...

Sum to n terms of the series `(1)/(1 cdot 2 cdot 3 cdot 4)+(1)/(2 cdot 3 cdot 4 cdot 5)+(1)/(3 cdot 4 cdot 5 cdot 6)+…` is

`(1)/(24)-(1)/(n)`

`(1)/(18)-(1)/(3(n+1)(n+2)(n+3))`

`(1)/(2^(n))-(1)/(n^(2))`

`(1)/(18)-(1)/(3(n+3)(n+4))`

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