### Closed Form of ...[a][/n] = [3a][/n-1] - [2a][/n-2]

Posted: **Thu Mar 10, 2011 4:17 pm**

by **hbelle**

What is the closed form for recursive equation [a][/0] = 0, [a][/1] = 1 and [a][/n] = [3a][/n-1] - [2a][/n-2]

is the closed form [a][/k+1] = [3a][/k+1-1] - [2a][/k+1-2] ???

Posted: **Thu Mar 10, 2011 6:19 pm**

by **stapel_eliz**

What is the closed form for recursive equation [a][/0] = 0, [a][/1] = 1 and [a][/n] = [3a][/n-1] - [2a][/n-2]

What is the definition of the square brackets and the "slash" notation?

Thank you!

### Re: Closed Form of ...[a][/n] = [3a][/n-1] - [2a][/n-2]

Posted: **Sat Mar 12, 2011 5:21 am**

by **Martingale**

What is the closed form for recursive equation [a][/0] = 0, [a][/1] = 1 and [a][/n] = [3a][/n-1] - [2a][/n-2]

is the closed form [a][/k+1] = [3a][/k+1-1] - [2a][/k+1-2] ???

if you had

then the closed form is just