Add Factorials

Home 1 + 2 + ... + n 1 + 3 + 5 + ... + 2n-1 a+(a+b)+...+(a+nb) 1 + 4 + 9 + ... + n^2 1^3 + 2^3 +...+ n^3 1^3 - 2^3 + 3^3 -...+ n^3 Add Decreasing Series Sub Decreasing Series Add Infinite Series Finding The Next Term Finding The nth Term Add Factorials

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Adding Sequences In The Form: n(n!) + (n-1)(n-1)! +...+ 1(1!):

A.  This sequence reduces to the following:

(n+1)! - 1

B.  See Factorials.

C.  Examples:

Ex [1]  1(1!) + 2(2!) + 3(3!) + 4(4!) = _______

a.  The answer is 5! - 1 = 120 - 1 = 119.

Ex [2]  7(7!) + 6(6!) + ... + 2(2!) + 1 = ________

a.  Notice, adding 1 on the end is the same as adding 1(1!).

b.  The answer is 8! - 1 = 40320 - 1 = 40319.

 

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