Sum of Series

Sum of Series
Find the sum of the series 1(1!)\!+2(2!)\!+3(3!)\!+\cdots+n(n!)
Source: NCTM Mathematics Teacher, January 2006

Note that 2(1!)\!=2!,3(2!)\!=3!,4(3!)\!=4!, and so on

Answer: (n+1)!\!-1


About mvtrinh

Retired high school math teacher.
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