Question

$F_n$ denotes the $n^{th}$ Fibonacci number. ($F_n = F_{n-2} + F_{n-1}$). Use $F_{13} = 233$ and the golden ratio to approximate the next Fibonacci number $F_{14}$ (round to the nearest whole number). Show all steps here.

Name: fn denotes the nth fibonacci number fn fn 2 fn 1 use f13 233 and the golden ratio to approximate the next fibonacci number f14 round to the nearest whole number show all steps here 88879
Uploaded: 2023-07-20T13:55:17-08:00
Duration: 2 min 40 s
Channel: Adi S
Description: fn denotes the nth fibonacci number fn fn 2 fn 1 use f13 233 and the golden ratio to approximate the next fibonacci number f14 round to the nearest whole number show all steps here 88879

          $F_n$ denotes the $n^{th}$ Fibonacci number. ($F_n = F_{n-2} + F_{n-1}$).
Use $F_{13} = 233$ and the golden ratio to approximate the next Fibonacci number $F_{14}$ (round to the nearest whole number).
Show all steps here.

fn denotes the nth fibonacci number fn fn 2 fn 1 use f13 233 and the golden ratio to approximate the next fibonacci number f14 round to the nearest whole number show all steps here 88879

Added by Bryan N.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Adi S

07/20/2023

Step 1

618$. To approximate the next Fibonacci number $F_{14}$, we can multiply $F_{13}$ by the golden ratio. $F_{14} \approx F_{13} \times \phi$ $F_{14} \approx 233 \times 1.618$ Show more…

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$F_n$ denotes the $n^{th}$ Fibonacci number. ($F_n = F_{n-2} + F_{n-1}$). Use $F_{13} = 233$ and the golden ratio to approximate the next Fibonacci number $F_{14}$ (round to the nearest whole number). Show all steps here.