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Consider the following recursively defined sequence: 5 An+1 2° 1 -(а, + 2), п € N. aj = 1 for all n E N. 2" Prove that an >

Consider the following recursively defined sequence: 5 An+1 2° 1 -(а, + 2), п € N. aj = 1 for all n E N. 2" Prove that an >

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following recursively defined sequence: 5 An+1 = — (а, + 2), п Е N. 2' 1 for all n E N. 2" Prove that an >
Transcribed Image Text:Consider the following recursively defined sequence: 5 An+1 = — (а, + 2), п Е N. 2' 1 for all n E N. 2" Prove that an >
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