Thanks a lot for everyone's help in my LAST post on continued fractions... hope this is the last post I'll have to make on this topic!
So, here's a general continued fraction:
I'm supposed to consider values of k that are not 1 and 2, and determine a generalized statement for the exact value of any such continued fraction. I figured out that this exact value is:
First off, is the above correct? I determined this by using the quadratic formula and the equation (t sub(n))^2 - kt sub(n) - 1 = 0 (I did this because of the help in my last post, thanks!).
Secondly, I need to figure out this: For which values of k does this generalized statement hold true? How would I go about figuring this out? Plugging in different numbers and making up a table?? That's my only idea.
Thanks a lot for your help!
So, here's a general continued fraction:
I'm supposed to consider values of k that are not 1 and 2, and determine a generalized statement for the exact value of any such continued fraction. I figured out that this exact value is:
First off, is the above correct? I determined this by using the quadratic formula and the equation (t sub(n))^2 - kt sub(n) - 1 = 0 (I did this because of the help in my last post, thanks!).
Secondly, I need to figure out this: For which values of k does this generalized statement hold true? How would I go about figuring this out? Plugging in different numbers and making up a table?? That's my only idea.
Thanks a lot for your help!