Dab tsi yog tus naj npawb Fibonacci?
Dab tsi yog tus naj npawb Fibonacci?

Video: Dab tsi yog tus naj npawb Fibonacci?

Video: Dab tsi yog tus naj npawb Fibonacci?
Video: Mathematics with Python! Sequences 2024, Kaum ib hlis
Anonim

Peb tsuas yog txhais cov nth Fibonacci tus lej interms ntawm ob ua ntej nws: lub n-th Fibonacci tus lej yog qhov suav ntawm (n-1)th thiab (n-2)th. Yog li los xam 100th Fibonacci tus lej , piv txwv li, peb yuav tsum suav tag nrho 99 qhov tseem ceeb ua ntej nws ua ntej - ua haujlwm heev, txawm tias lub tshuab xam zauv!

Tsis tas li ntawd, lub sij hawm nth ntawm Fibonacci yog dab tsi?

A ib ntus ntawm cov lej xws li 2, 4, 8, 16, nws yog hu ua geometric series. Ua ntej, xam thawj 20 tus lej hauv tus lej Fibonacci kab zauv . Nco ntsoov tias tus qauv los findthe ntu term ntawm ib ntus (denoted by F[n]) isF[n-1] + F[n-2].

Tsis tas li ntawd, tus lej 10 Fibonacci yog dab tsi? 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946…

Tom qab ntawd, lo lus nug yog, koj yuav nrhiav tau tus lej Fibonacci li cas?

Cov Fibonacci Sequence yog cov series ntawm tus lej : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, Tom ntej no tus lej yog pom los ntawm kev ntxiv rau ob tus lej ua ntej.

Fibonacci Sequence

  1. Qhov 2 pom los ntawm kev ntxiv ob tus lej ua ntej nws (1+1)
  2. Qhov 3 pom los ntawm kev ntxiv ob tus lej ua ntej nws (1 + 2),
  3. Thiab 5 yog (2 + 3),
  4. thiab lwm yam!

1.618 txhais li cas?

Qhov ratio, los yog proportions, txiav txim los ntawm Phi ( 1.618 …) tau paub rau cov neeg Greek li "kev faib ib kab hauv qhov siab thiab txhais tau tias ratio"thiab rau Renaissance cov kws ua yeeb yam li "Divine Proportion"Nws tseem hu ua Golden Section, Golden Ratio thiab Golden Txhais tau tias.

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