can someone pls explain factorials i have a test in one hour and i dont get it how is (n+1)!=(n+1)n!??
回答 (3)
2016-06-24 8:08 pm
✔ 最佳答案
(n + 1)!= (n + 1) × n × (n - 1) × (n - 2) × ...... × 3 × 2 × 1
= (n + 1) × [n × (n - 1) × (n - 2) × ...... × 3 × 2 × 1]
= (n + 1) n!
2016-06-24 7:43 pm
The basic fact here is that
n! = 1 x 2 x 3 x . . . x n
So (n + 1)! = 1 x 2 x 3 x . . . x n x (n + 1)
But 1 x 2 x 3 x . . . x n = n!
So (n + 1)! = n! x (n + 1)
n! = 1 x 2 x 3 x . . . x n
So (n + 1)! = 1 x 2 x 3 x . . . x n x (n + 1)
But 1 x 2 x 3 x . . . x n = n!
So (n + 1)! = n! x (n + 1)
2016-06-24 7:42 pm
2! = 2×1
Or 2x1!
10 ! = 10×9 !
Coz 9!= 9×8!
Simalary
8!=8×7!
So on... We get
(N+1)! =( N+1)×n!
Easy
Or 2x1!
10 ! = 10×9 !
Coz 9!= 9×8!
Simalary
8!=8×7!
So on... We get
(N+1)! =( N+1)×n!
Easy
收錄日期: 2021-04-18 15:17:56
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