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3. List the first five terms of the following inductively defined sequences. (a) x₁ = 1, (b) y₁ = 2, (c) Z₁ = 1, (d) S₁ = 3, == Xn+1=3x+1, := yn+1 = ½) (yn + 2/yn), - Z2 := 2, Zn+2 = (Zn+1 + Zn)/(Zn+1 − Zn), $25, Sn+2 = Sn + Sn+1.

3. List the first five terms of the following inductively defined sequences. (a) x₁ = 1, (b) y₁ = 2, (c) Z₁ = 1, (d) S₁ = 3, == Xn+1=3x+1, := yn+1 = ½) (yn + 2/yn), - Z2 := 2, Zn+2 = (Zn+1 + Zn)/(Zn+1 − Zn), $25, Sn+2 = Sn + Sn+1.

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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3.1.3. Intro To Real Analysis 

3. List the first five terms of the following inductively defined sequences. xn+1 = 3xn+1, (a) x₁ = 1, (b) y₁ = 2, Yn+1 = 2 (yn +2/yn), = (d) S₁ = 3, (c) Z₁ = 1, Z₂ == $2 := == - 2, Zn+2= (Zn+1+Zn)/(Zn+1 — Zn), $2 := 5, Sn+2 := Sn + Sn+1•
Transcribed Image Text:3. List the first five terms of the following inductively defined sequences. xn+1 = 3xn+1, (a) x₁ = 1, (b) y₁ = 2, Yn+1 = 2 (yn +2/yn), = (d) S₁ = 3, (c) Z₁ = 1, Z₂ == $2 := == - 2, Zn+2= (Zn+1+Zn)/(Zn+1 — Zn), $2 := 5, Sn+2 := Sn + Sn+1•
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