Frenemies of TalkRational: 
Nontheist Nexus  Rants'n'Raves  Secular Cafe  Council of ExMuslims  The Skeptical Zone  rationalia  Rational Skepticism  Atheists Today  
04182012, 09:03 PM  #1782451 / #2 
Senior Member
Join Date: Mar 2008
Location: Woodstock Nation
Posts: 6,106

I forwarded that to a math professor I know.
__________________
"Without minds or hearts, they are instrumentalized to buy whatever deadens their clamoring and frightened senses official lies, immoral wars, Barbies, and bankrupt educations." 
04192012, 12:17 AM  #1782604 / #9 
Senior Member
Join Date: Jul 2008
Posts: 15,030

OK, a mathematical solution:
Evenvalued terms are every 3 terms (as the Fibonacci sequence mod 2 is 0, 1, 1, 0, 1, 1, 0, ...). There is a formula for the nth term of the Fibonacci sequence which goes as follows: There are 33 fibonacci numbers (starting with F(1) = 1) less than 4 million. Therefore the sum is: In order to prevent extra math, we figure out the denominators now. Therefore by crossmultiplying we get ETA: My nerditude has reached a maximum. =Uncool Last edited by uncool; 04192012 at 12:21 AM. 
04192012, 03:00 AM  #1782743 / #12 
Nocturnal Member
Lord High Coder
Join Date: Feb 2010
Posts: 3,047

There's a ton of equations relating to Fibonacci numbers.
Another way to calculate the solution: For the sum of every third member of the series starting from n = 0: From this recurrence and the first 3 terms of the sum we get the matrix equation:
__________________

04262012, 04:45 PM  #1790547 / #21 
Unsullied
Master of Coin
Join Date: May 2009
Location: New Eden
Posts: 39,328

2 days later I'm still trying to figure it out.
I must be a freaking genius!!
__________________
". . . organized greed always defeats disorganized democracy"  Matt Taibbi 
04262012, 04:50 PM  #1790552 / #23 
Unsullied
Master of Coin
Join Date: May 2009
Location: New Eden
Posts: 39,328

I got it!!!
__________________
". . . organized greed always defeats disorganized democracy"  Matt Taibbi 
04262012, 04:56 PM  #1790560 / #25 
Unsullied
Master of Coin
Join Date: May 2009
Location: New Eden
Posts: 39,328

Actually I was thinking: What Would Testy Do?
__________________
". . . organized greed always defeats disorganized democracy"  Matt Taibbi 

Thread Tools  
Display Modes  

