(Solved Homework): Using Matlab The Fibonacci sequence defined by

Using Matlab

The Fibonacci sequence defined by

fib 1. 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

where the Nth term, is given by


As N increases, the ratio of two adjacent terms in the sequence approaches The Golden Ratio, ϕ:


Write a function that accepts a single input that is the tolerance, TolGR for the Golden Ratio calculation. Use a loop to generate Fibonacci numbers until the error in subsequent calculations of ϕ, defined by


is less than or equal to TolGR. Your function should output three scalar values, in order:

The final value of the Golden Ratio (a double precision number)

The largest Fibonacci number generated (32-bit unsigned integer datatype)

The number of terms, N, required to meet the tolerance (8-bit unsigned integer datatype).

Show transcribed image text

Expert Answer



%Define a function Gratio

function Gratio(TolGR)

%Declare variable

fib1 = 1;

%Declare variable

fib2 =1;

%Compute phi1

phi1 = fib2/fib1 ;

%Declare variable

n = 3 ;

%Loop infinite

while true

%Compute fib3

fib3 = fib1+fib2;

%Assign value


%Assign value

fib2 = fib3;

%Compute ratio

phi2 = fib2/fib1

%compute error

err = abs(phi2-phi1)

%If error value is less than tolerance

if err<TolGR





%Assign value

phi1 = phi2;

%Update value




%Display value


%Display result

fprintf(‘The Fibonacci sequence to %d terms isn’,n)

%Display result

fprintf(‘%g ‘,fib3)

%Display new line




%Call method


Order NOW for a 10% Discount
Pages (550 words)
Approximate price: -

Why Us?

Top Quality and Well-Researched Papers

All ourbpapers are written from scratch. In fact, Clients who ask for paraphrasing services are highly discouraged. We have writers ready to craft any paper from scratch and deliver quality ahead of time.

Professional and Experienced Academic Writers

Our writers keeps you posted on your papers progress - providing you with paper outline/draft. You are also at liberty to communicate directly with your writer.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time, in many cases quite ahead of time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.


Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.


Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.


Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.


Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.

× Contact Live Agents