   Chapter 13.1, Problem 87E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# DISCUSS A Recursively Defined Sequence Find the first 40 terms of the sequence defined by a n + 1 = { a n 2 if   a n   is   an   even   number 3 a n + 1 if   a n   is   an   odd   number and a 1 = 11 . Do the same if a 1 = 25 . Make a conjecture about this type of sequence. Try several other values of a 1 , to test your conjecture.

To determine

To find:

A conjecture about the given sequence and verify it for different initial values of the sequence.

Explanation

Approach:

Generate the first 40 terms using the initial data a1 and definition of the sequence and observe if sequence follows any pattern for large values of n.

Calculation:

There is given a table of sequence for the different initial values of a1.

Table (1)

We observe in the table above generated using excel for the sequence with different values of a1 that the sequence converges to a repeating sequence: 4,2,1,4,2,1,....

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 