Question

How to simplify (2n-1)!/(2n+1)!

Answer 1

Factorials!

Answer 2

Yes!

Answer 3

do you understand how they work?

Answer 4

Yeah I do N! = (n-1) * n

Answer 5

Alright so the bottom can be simplified more

Answer 6

using the propertiesof factorials

Answer 7

Which properties? I'm not fimiliar

Answer 8

familiar *

Answer 9

\[\frac{(2n-1)!}{(2n-1)!(2n)(2n+1)}\]

Answer 10

How did you get the bottom like that?

Answer 11

so you know how factorials work since you have 2n-1, start with n = 1, 2 ,3 , 4, .......(2n-1)

Answer 12

1,3,5,7......(2n+1)

Answer 13

(2n-1 i mean

Answer 14

Ahhhh still not seeing it idk why

Answer 15

alright so lets start from (n+2)

Answer 16

(n+2)!=(n+2)(n+1)!

Answer 17

ok

Answer 18

(n+k)!=(n+k)(n+k-1)!

Answer 19

is basically the property

Answer 20

Now can you do the work to show how you got to that denominator?

Answer 21

using the property i showed above

(2n+1)!=(2n+1)(2n)!
(2n)!=(2n)(2n-1)!

Answer 22

so
(2n+1)!=(2n+1)(2n)(2n-1)!

Answer 23

it's basically your same property

n!=(n)(n-1)! only

only n in this specific case = 2n+1

Answer 24

OHHHHHHHHHH , I had it the whole time. Just overlooked it

Answer 25

lol

Answer 26

Thanks so much man! I got this now