My Math Forum Second order difference equation

 Differential Equations Ordinary and Partial Differential Equations Math Forum

September 24th, 2015, 12:07 AM   #11
Senior Member

Joined: Dec 2013
From: some subspace

Posts: 212
Thanks: 72

Math Focus: real analysis, vector analysis, numerical analysis, discrete mathematics
Quote:
 Originally Posted by babyjo Sorry. Can explain more
You can put next $\displaystyle n = 4$ and see, what $\displaystyle L$-terms you need. Then just plug them in and compute. The same applies for $\displaystyle n=5$, etc.

September 24th, 2015, 03:55 AM   #12
Math Team

Joined: Dec 2013
From: Colombia

Posts: 7,674
Thanks: 2654

Math Focus: Mainly analysis and algebra
Quote:
 Originally Posted by babyjo Is it correct to do in this way?
I can't read that. As to whether you need to calculate the whole sequence: perhaps if you calculate term by term (unless there's a simple pattern); not if you brain the closed form for each term of the sequence - you just put $\displaystyle n = 43$ into the formula.

 September 24th, 2015, 05:18 AM #13 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond This recurrence relation has complex eigenvalues. After kludging around I found $\displaystyle L_n=\dfrac{1}{10}\left( \left(1+\dfrac{\sqrt2}{2}i\right)^n+\left(1-\dfrac{\sqrt2}{2}i \right)^n\right)$

 Tags difference, equation, order

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Genik Applied Math 0 November 3rd, 2014 04:49 AM sven77 Applied Math 0 May 22nd, 2013 03:56 AM raed Applied Math 0 February 17th, 2012 10:15 AM scarymovie Algebra 10 October 15th, 2008 06:18 PM sven77 Calculus 0 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top