Q4. Use Strong induction to show that An= 2.3"-(n+4)2^-1 for nãoLet an be the sequenced defined by90=0 9₁=1, A₂:6, and an: 1an-1-16anz+12an-3a,9₁= 2.3¹-(1+4)2"A₂ = 2.3² (2+4)2²-1= 2.9-(6) (2)= 18-12=6te Case: a = 2·3° -(044) 201= 2.1-(4) 2/2= 2-2=0tive step:= 2.3-(5)= 6-5=11-1

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Answered: Q4. Use Strong induction to show that…

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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Q4. Use Strong induction to show that Let an be the sequenced defined by 90=0 7 2Step: Case: a = 2.3°-(044) 201 = 2.1-(4) =/ = 2-2=0 a₁ = 1, A₂=6, and an: 7an-1-16an2+12an-3 9₁= 2.3¹-(1+4)2" A₂ = 2.3² (2+4)2 2-1 =2.9-(6)(2) = 18-12=6 an=2.3"-(n+4)2^-1 for não = 2.3-(5) = 6-5=1