8求∑n!(即求1!+2!+3!+4!+…+20!)。
时间: 2023-10-09 19:04:04 浏览: 149
1! = 1
2! = 2 x 1! = 2 x 1 = 2
3! = 3 x 2! = 3 x 2 x 1 = 6
4! = 4 x 3! = 4 x 3 x 2 x 1 = 24
5! = 5 x 4! = 5 x 4 x 3 x 2 x 1 = 120
6! = 6 x 5! = 6 x 5 x 4 x 3 x 2 x 1 = 720
7! = 7 x 6! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
8! = 8 x 7! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
9! = 9 x 8! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880
10! = 10 x 9! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800
11! = 11 x 10! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 39916800
12! = 12 x 11! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 479001600
13! = 13 x 12! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 6227020800
14! = 14 x 13! = 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 87178291200
15! = 15 x 14! = 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 1307674368000
16! = 16 x 15! = 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 20922789888000
17! = 17 x 16! = 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 355687428096000
18! = 18 x 17! = 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 6402373705728000
19! = 19 x 18! = 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 121645100408832000
20! = 20 x 19! = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 2432902008176640000
因此,∑n!= 1 + 2 + 6 + 24 + 120 + 720 + 5040 + 40320 + 362880 + 3628800 + 39916800 + 479001600 + 6227020800 + 87178291200 + 1307674368000 + 20922789888000 + 355
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