Tus lej 30 hauv Fibonacci yog dab tsi?
Tus lej 30 hauv Fibonacci yog dab tsi?

Video: Tus lej 30 hauv Fibonacci yog dab tsi?

Video: Tus lej 30 hauv Fibonacci yog dab tsi?
Video: Can You Solve This Sum Equation? A Nice Sum Equation Problem From Thailand. 2024, Kaum ib hlis
Anonim

Qhov piv ntawm cov zauv Fibonacci txuas mus ntxiv rau phi

Sequence nyob rau hauv ib ntus Qhov tshwm sim Fibonacci tus lej (tus lej ntawm ob tus lej ua ntej nws) Qhov sib piv ntawm txhua tus lej rau ib qho ua ntej nws (qhov no kwv yees phi)
28 317, 811 1.618033988738303
29 514, 229 1.618033988754323
30 832, 040 1.618033988748204
31 1, 346, 269 1.618033988750541

Ntawm no, 30 lub sij hawm nyob rau hauv Fibonacci ib ntus yog dab tsi?

Ntawm no yog cov npe ntev: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 17711, 28657, 46368, 75025, 121393, 196418, 317811, Ib tug kuj yuav nug, dab tsi yog tus qauv ntawm Fibonacci ib ntus? Nws yog: a = [Phi - (phi)] / Sqrt[5]. phi = (1 – Sqrt[5]) / 2 is an related golden tus lej , kuj sib npaug rau (-1 / Phi). Qhov no qauv yog ntaus nqi rau Binet hauv 1843, txawm tias paub los ntawm Euler ua ntej nws.

Ib yam li ib tug yuav nug, 32nd Fibonacci tus lej yog dab tsi?

Cov npe ntawm Fibonacci Numbers

F Tus lej
F19 4181
F20 6765
F21 10946
F22 17711

Tus lej 11 hauv Fibonacci yog dab tsi?

Yog li lub index tus lej ntawm Fib(10) yog sib npaug rau nws cov lej. Lub sijhawm no tus lej suav yog 8 + 9 = 17. Tab sis 89 tsis yog 17th Fibonacci tus lej , nws yog 11th (nws index tus lej yog 11 ) yog li tus lej lej ntawm 89 tsis sib npaug rau nws qhov ntsuas tus lej.

Pom zoo: