Concept explainers
To Compute : The first 40 terms of the sequence when
Answer to Problem 44E
When
, the first 40 terms are : 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, 4, 2, 1, …, 4, 2, 1, 4 .
When the first 40 terms are : 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, 4, 2, 1, …., 4, 2, 1, 4 .
Explanation of Solution
Given information :
Considering,
Gives,
We can find all the 40 terms similarly.
Thus, the first 40 terms of the sequence when
Considering,
Gives,
Thus, the first 40 terms of the sequence when
is : 25, 76, 38, 19, 58, 29, 88, 44, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, 4, 2, 1, ...., 4, 2, 1, 4 .
As
Thus, we can conclude that
Irrespective of
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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