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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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PSG Q2

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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