Learning when and how to use a while loop, Programming Languages

Assignment Help:

1.  A function that produces the Collatz sequence and counts the number of terms.

2.  A main function that calculates interesting values about the Collatz sequence.

1.The Collatz Sequence

1. The rules for the Collatz Sequence are pretty straight forward:

3.  Start with an integer n > 1.

4.  Given a current term n, if n is even, the next term is n=2, if it is odd, the next term is 3n + 1.

5. Repeat until the last term is 1.

For examples: starting with n = 3, we get the sequence 3, 10, 5, 16, 8, 4, 2, 1.

2. It is an open question as to whether or not the sequence always returns to one for every starting value.

2. To Do and Turn In

1. The end result will be a .m file containing the main function, the Collatz function, and possibly other supporting functions.

2. The Collatz function should have one input and one output, the input is the starting number n, and the output is the number of terms in the sequence (the Collatz length), including the last term of 1. So in the example above for n = 3, the Collatz length is 8.

3. As usual, the main function will be in charge. It should be in charge of getting all the results calculated and in printing the results.

4. There are 3 results you need to produce:

(a) The Collatz length for n = 2; 3; . . .; 20 in a nice table (of course!).

(b) The first integer n for which the Collatz length is greater than 500. Display the integer and it's Collatz length.

(c) The integer n between 1 and 100 (inclusive) with the largest value for the ratio of it's Collatz length to itself. Display the integer, it's Collatz length and the ratio.

5. You'll need to figure out what kind of loop you need to use in each case.

6. As before you can have the main function do all the work (except for what the Collatz function does), or you can have subfunctions that do all or part of the work. The main function should, in any case, be totally responsible for displaying all the results.

7. When you are done, comment it well and publish the results as a PDF. Submit the PDF.


Related Discussions:- Learning when and how to use a while loop

Computer programming on human algorithm, 1.   You have been asked to write ...

1.   You have been asked to write a computer program that will figure out the total of an order when given the amount of the order ($200) and a sales tax rate of five percent.  I w

Object-oriented languages, Object-oriented languages Languages that sup...

Object-oriented languages Languages that support OOP features can be classified into the following two categories: 1.    Object-based programming languages, and 2.      O

Develop a socket program in unix, Develop a socket program in UNIX/Linux th...

Develop a socket program in UNIX/Linux that uses (i) TCP as the transport protocol and  (ii) UDP as the transport protocol for transferring  a short message between a client and  s

Visual basic 2010, I have to create a calorie counter and I am totally lost...

I have to create a calorie counter and I am totally lost

Draw the sequence diagram for the scenario, Draw the sequence diagram for t...

Draw the sequence diagram for the following scenario of eBroker. Sell Stock The user enters the username and password The system checks that the user is a valid user

Program for hold details of all the cabins for travellers, Scenario A ca...

Scenario A campsite provides cabins for travellers to stay in overnight. A 'cabin' is a small wooden hut, containing bunk beds, table and chairs, a heater, and a small cookin

Built a liner program to manage a staff, A manager at the local Walmart nee...

A manager at the local Walmart needs to determine how many workers to hire to cover a 24-hour period. Each worker must work 9 consecutive hours but may only start work at the begin

Higher order differential equations, We'll start this section off with the ...

We'll start this section off with the material which most text books that will cover in this section. We will take the matter from the Second Order chapter and expand this out to n

Object oriented programming, I need help with this question. The problem i'...

I need help with this question. The problem i''m having is that what''s the syntax for using dynamic memory allocation of objects of one class in the constructor of some other clas

Develop a system for record student information, Your task for this project...

Your task for this project is to develop a system that would provide the following features: 1. Register new student 2. Drop student from university 3. Add a course and gr

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd