## Hoa Group Title solve f(n+2) -4f(n+1) +4f(n) = n subject to f(0) = 5 and f(1) =11. one year ago one year ago

1. JamesJ Group Title

Well, have you written out the first 10 terms or so?

2. JamesJ Group Title

...Begin to look for patterns...

3. Hoa Group Title

I have to write down the f(n) =... by 2ways: generating function and use lamda method

4. Hoa Group Title

using generating function: I have F(x) =$\sum_{k=0}^{\infty}f(x)x^k = f(0) +f(1)x +f(2)x^2 +f(3)x^3+......$

5. JamesJ Group Title

I must confess I don't know this part of mathematics. I would have to answer this question using some mix of intuition and luck. I am not familiar with how to use generating functions and the like to answer it.

6. Hoa Group Title

I got it. Thanks for reply my message. I have test on Friday, I will try to figure out in the book. I am near result. just need the confirmation from people who is better than me. Thanks anyway.

7. Hoa Group Title

I will post another question, Take a look and if you have idea please, guide me