an = 2an-1 + an-2 + 2an-3, Solve with the characteristic root technique. (h) 1₁ 1₂ 13 => an 1₁ = 72 = 13 => 1₁ = 1₂ #13 ao = 3, a₁ = 7 ve a₂ an = 15 = C₁ (1₁)¹² + C₂ (r2)” + C3 (13)” (h) = C₁ (¹₁)" + C₂ (1₂)^n + C3 (¹3)¹n² (h) an = C₁ (₁)" + C₂ (r₂)"n + C3 (13)"

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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Question
an = 2an-1 + an-2 + 2an-3,
Solve with the characteristic root technique.
(h)
1₁ 1₂ 13 => an
1₁ = 12 = 13 =>
1₁ = 1₂ #13
ao = 3, a₁ = 7 ve a₂
an
=
= C₁ (1₁)² + C₂ (r₂)” + C3 (13)”
(h)
= C₁ (¹₁)" + C₂ (1₂)^n + C3 (¹3)¹n²
15
(h)
an = C₁ (₁)" + C₂ (r₂)"n + C3 (13)"
Transcribed Image Text:an = 2an-1 + an-2 + 2an-3, Solve with the characteristic root technique. (h) 1₁ 1₂ 13 => an 1₁ = 12 = 13 => 1₁ = 1₂ #13 ao = 3, a₁ = 7 ve a₂ an = = C₁ (1₁)² + C₂ (r₂)” + C3 (13)” (h) = C₁ (¹₁)" + C₂ (1₂)^n + C3 (¹3)¹n² 15 (h) an = C₁ (₁)" + C₂ (r₂)"n + C3 (13)"
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