Fibonacci Sequence and Golden Ratio, Exercises of Mathematics

Answers to various questions related to the fibonacci sequence, including finding specific terms using given information and understanding the connection between the sequence and the golden ratio.

Typology: Exercises

2020/2021

Uploaded on 04/23/2021

Minsugashi
Minsugashi 🇵🇭

1 document

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
D . Careful read each question and apply what is ask in each items.
Q#1: If the first four Fibonacci are 0,1,1, and what is the twelfth numbers?
Answer: 89
Q#2: If the first three Fibonacci numbers are given as F1=1,F2=1, and F3=2,then what is the least value
of n for which Fn >500?
Answer: 15
Q#3: The partial sums of the first n and n + 1 numbers of the Fibonacci sequence are both divisible by
11. What is the smallest value of n ?
Answer: 1
Q#4: find the 18th term in the Fibonacci sequence applying the binet's formula.
Answer:
Q#5: How did they discover the Fibonacci sequence?
pf2

Partial preview of the text

Download Fibonacci Sequence and Golden Ratio and more Exercises Mathematics in PDF only on Docsity!

D. Careful read each question and apply what is ask in each items. Q#1: If the first four Fibonacci are 0,1,1, and what is the twelfth numbers? Answer: 89 Q#2: If the first three Fibonacci numbers are given as F1=1,F2=1, and F3=2,then what is the least value of n for which Fn >500? Answer: 15 Q#3: The partial sums of the first n and n + 1 numbers of the Fibonacci sequence are both divisible by

  1. What is the smallest value of n? Answer: 1 Q#4: find the 18th^ term in the Fibonacci sequence applying the binet's formula. Answer: Q#5: How did they discover the Fibonacci sequence?

Answer: Fibonacci sequence was discovered after the investigation of Rabbits Reproduction. Q#6 what is golden Ratio? Answer: Golden Ratio is a special number found dividing a line into two parts, where the longer part divided by the smaller part and the golden Ratio is equal to 1.618…….. Q#7: collect / take at least three pictures applying the concept of golden Ratio. Answer: Q#8 : In what way is the golden Ratio ( phi) related to the Fibonacci numbers? Answer: there is a special relationship between the golden Ratio and Fibonacci numbers and we tend to get Fibonacci numbers when we use the golden Ratio.