=-rگت( (1+ V5) )(n- 2) < fn (п— 2) Use induction to prove that 2 ((1+ |(n–1). for all n 2 3.
=-rگت( (1+ V5) )(n- 2) < fn (п— 2) Use induction to prove that 2 ((1+ |(n–1). for all n 2 3.
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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Question
Use induction to prove that ((1+√5)/2)^(n-2) less than or equal to fn less than or equal to ((1+√5)/2)^(n-1) for all n greater than or equal to 3.
NOTE: INCLUDE BASIS AND INDUCTIVE STEPS
Transcribed Image Text:(1+ /5 ) )(n-2)
|
< fn <
Use induction to prove that
(1+ /5
(5 ) )(n-1)
2
for all n > 3.
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