## Wordsmith Talk |
About Us | What's New | Search | Site Map | Contact Us | |||

Register Log In ## Wordsmith.org Forums General Topics Miscellany IQ Tests

Previous Thread

Next Thread

Print Thread

You have artistic license when it comes to defining the first numbers in a sequence. Sometimes by playing around with them you get cool results.

One of the interesting things about the Fibonacci sequence is that the ratios of successive numbers such 8/5, 13/8, 21/13, etc, approach the famous irrational number known as Phi , associated with the Golden Ratio. But what's even more interesting, is that no matter how you define the first two numbers in the Fibonacci sequence -- suppose your sequence begins 7, 8, 15, 23, 38... -- the ratios of consecutive numbers will still converge on this value 1.61803399. You can even begin with 0 and 7, ensuring a Fibonacci-esque sequence whose members are all multiples of seven, and the ratios of successive numbers in the list will converge to Phi.

Moderated by Jackie

Link Copied to Clipboard

Forum Statistics Forums16Topics13,913Posts229,430Members9,182 Most Online3,341

Dec 9th, 2011

Newest Members Ineffable, ddrinnan, TRIALNERRA, befuddledmind, KILL_YOUR_SUV

9,182 Registered Users

Who's Online Now 0 members (), 426 guests, and 0 robots. Key:Admin, Global Mod, Mod

Top Posters(30 Days) A C Bowden 20

Top Posters wwh 13,858Faldage 13,803Jackie 11,613wofahulicodoc 10,598tsuwm 10,542LukeJavan8 9,922Buffalo Shrdlu 7,210AnnaStrophic 6,511Wordwind 6,296of troy 5,400

Forum Rules · Mark All Read Contact Us · Forum Help · Wordsmith.org