Show that the sequence defined by  a sub 1= 1  and  a sub n + 1 = 3 - (1/ a sub n) is increasing and a sub n < 3 for all n.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 67SE: Consider the sequence defined by an=68n. Is an=421 a term in the sequence? Verify the result.
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Show that the sequence defined by 

a sub 1= 1  and  a sub n + 1 = 3 - (1/ a sub n)

is increasing and a sub n < 3 for all n.  

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