- #1
sennyk
- 73
- 0
I want to calculate the following:
[tex]
\displaystyle\lim_{k\to\infty}\frac{n_k}{d_k}
[/tex]
where,
[tex]
n_0 = 2
[/tex]
[tex]
d_0 = 1
[/tex]
[tex]
n_k = 2n_k_-_1 +d_k_-_1
[/tex]
[tex]
d_k = n_k_-_1 + d_k_-_1
[/tex]
For the life of me I have no idea how to do this. By the way, the answer is supposed to be
[tex]\frac{1 + \sqrt{5}}{2}[/tex]
This is not a homework problem. I was doing an electrical engineering problem and to solve the problem this series was magically solved.
Please any help is appreciated.
[tex]
\displaystyle\lim_{k\to\infty}\frac{n_k}{d_k}
[/tex]
where,
[tex]
n_0 = 2
[/tex]
[tex]
d_0 = 1
[/tex]
[tex]
n_k = 2n_k_-_1 +d_k_-_1
[/tex]
[tex]
d_k = n_k_-_1 + d_k_-_1
[/tex]
For the life of me I have no idea how to do this. By the way, the answer is supposed to be
[tex]\frac{1 + \sqrt{5}}{2}[/tex]
This is not a homework problem. I was doing an electrical engineering problem and to solve the problem this series was magically solved.
Please any help is appreciated.