Question

Simplify this. Contains factorials not too sure...

Answer 1

\[\frac{ 4.16\times n! }{ (n+1)!}\]

Answer 2

\[\frac{ 4.16 \times n ! }{ (n+1)! } = \frac{ 4.16 \times (1 \times 2 \times 3 \times .... (n-1) \times n) }{(1 \times 2 \times 3 \times .... (n-1) \times n \times (n+1)) } = \frac{ 4.16 }{ n+1 }\]

Answer 3

Where exactly do the 1 x 2 x 3.... come from?

Answer 4

do you know what is 5!?

Answer 5

Yes.

Answer 6

so please show me 5!

Answer 7

5x4x3x2x1

Answer 8

that's right!

Answer 9

5x4x3x2x1 = 5 x (5 - 1) x (5 - 2) x .... x (5 - 4)

Answer 10

Yes I know that

Answer 11

it looks like
5! = 5 x (5 - 1) x (5 - 2) x .... x 1
n! = n x (n - 1) x (n - 2) x .... x 1

Answer 12

or
1 x 2 ..... (n - 2) x (n - 1) x n = n!

Answer 13

how about (n +1)! ???

Answer 14

for example

5! = (4+1) x 4 x (4 - 1) x (4 - 2) x ...... 1

Answer 15

The 1 x 2... part just confuses me
(n+1)! = (n+1)(n)(n-1)(n-2)...

Answer 16

that should be
(n+1)! = (n+1)(n)(n-1)(n-2)... 3 x 2 x 1

Answer 17

assume n = 6

Answer 18

6! = 6 x 5 x 4 x 3 x 2 x 1

Answer 19

So n + 1 = 7 if n = 6

Answer 20

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

Answer 21

oh ok I get it now. Thanks so much for your help!!!

Answer 22

or
(6 + 1)! = (6 + 1) x 6 x (6-1) x (6 - 2) x ....... 3 x 2 x 1

Answer 23

it is always ended by 3 x 2 x 1

Answer 24

you are welcome :)