Recursie Algorithms. Is my solution ok?

[ptex]

This is the question I must solve;
Solve the given recurrence relation for the given inital conditions.
(This means give a formula in terms of n, not in terms of previous entries)
a[sub]n[/sub] = 7a[sub]n-1[/sub] - 12a[sub]n-2[/sub]
a[sub]0[/sub] = 3 a[sub]1[/sub] = 10
Now I am not sure what that means but I think this will solve the question 

let me know if I am not even close;
Input = n
Output = X(n)

procdure find(n)
 if n = 3 or n = 10 then
  return (n)
 return(find(n-1)+find(n-2))
end find(n)

 

[jamesrc]

I'm fairly certain that what they are looking for is a single equation for a as a function of n. Simple example:

Given: a_n = a_n-1 + 1
and a₀ = 11

Then:

a_n = 11+n

 

[ptex]

Solve the given recurrence relation for the given inital conditions.
(This means give a formula in terms of n, not in terms of previous entries)
a[sub]n[/sub] = 7a[sub]n-1[/sub] - 12a[sub]n-2[/sub]
a[sub]0[/sub] = 3 a[sub]1[/sub] = 10

So;
a[sub]2[/sub] = 7a[sub]2-1[/sub] - 12a[sub]2-2[/sub]
a[sub]2[/sub] = 7a[sub]1[/sub] - 12a[sub]0[/sub]
a[sub]2[/sub] = 7(10) - 12(3)
a[sub]2[/sub] = 70 - 36
a[sub]2[/sub] = 34?

 

[gnome]

That was not a solution.

This is a solution:
https://www.physicsforums.com/showthread.php?t=22418

You have to find an exact algebraic (non-recursive) equation to represent the recurrence relation.

 

[ptex]

Oh not that again I thought I was done with that. Ok I know what to do thanks again.

 

[ptex]

I come up with all mixed fractions when I get a using the same method as I did on that problem? So that does not work.

 

[gnome]

It works. You need to work on your algebra.