Question

Use the ratio test to find the radius of convergence of the power series
1+3!x+((6!x^2)/((2!)^3))+((9!x^3)/((3!)^3))+((12!x^4)/((4!)^3))+((15!x^5)/((5!)^3))+...

Is this the pattern....((-1)^n*(((n+3)!)x^(n+1))/(((n+1)!)^3))

Answer 1

@agent0smith

Answer 2

i would say that the general term is :

(3n)! * x^n / (n!)^2
start at n=0

Answer 3

i dont think it would be (n!)^2 i think it would be (n!)^3

Answer 4

correct sorry

Answer 5

(3n)! * x^n / (n!)^3

Answer 6

okay that makes sense thank you:)

Answer 7

yw sorry for that