In mathematics, the Fibonacci numbers are a sequence of numbers named after Leonardo of Pisa, known as Fibonacci (a contraction of filius Bonaccio, "son of Bonaccio"). Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been previously described in Indian mathematics.[2][3]
The first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself, yielding the sequence 0, 1, 1, 2, 3, 5, 8, etc. In mathematical terms, it is defined by the following recurrence relation:
That is, after two starting values, each number is the sum of the two preceding numbers. The first Fibonacci numbers (sequence A000045 in OEIS), also denoted as Fn, for n = 0, 1, 2, … ,20 are:[4][5]
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F0 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F13 F14 F15 F16 F17 F18 F19 F20 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765
4 comments:
I'm excited that you guys are staying in OK and now part of the blogging world - it will be fun to read about family stories! It was so great to see you guys the other night!! :-)
I love your blog! Way to go joining the rest of us bloggers. I can't wait to keep up with you in this way, too! Love you.
I'm so glad you have a blog. Now I can keep up on your family. They have all grown up so much. Hope your family has a Happy New Year. -Ranae
Welcome to bloggerworld - so fun! I'm impressed that you wrote out the sequence for us ;) that's so great that Liam is participating in the program and liking it! We're going to have to watch out when these kids grow up...instead of just thinking they are smarter than us...they probably will be! SCARY!
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