Is this correct please - series

[Natasha1]

Is this correct please:


(a_n+1 / a_n) = ((n+1)^3 * 4^(n+1) / (3 (n+1)!)) * (3(n!) / (n^3 * 4^n))

is all this equal to

(4 * (n+1)^2 * n!) / n^3

 

[TD]

Almost, I think the n! is too much

 

[Hammie]

I don't think you should end up with a factorial.

 

[Natasha1]

I don't think you should end up with a factorial.

So this must be the answer, right?

(4 * (n+1)^2) / n^3

 

[Hammie]

Looks good to me!