You wrote that a sequence is contractive if: |Xn+2 - Xn| <= |Xn - Xn-1|........ But I thought it was contractive if: |Xn+2 - Xn+1|<= C|Xn+1 - Xn| Are these equivalent, if so then how, because I dont se it? Or are they different ?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 3PT: Is the sequence 0.3,1.2,2.1,3,... arithmetic? If sofind the common difference.
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You wrote that a sequence is contractive if: |Xn+2 - Xn| <= |Xn - Xn-1|........

But I thought it was contractive if: |Xn+2 - Xn+1|<= C|Xn+1 - Xn|

Are these equivalent, if so then how, because I dont se it?

Or are they different ?

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