Let {an} be a sequence defined by ao = 2, a₁ = 3 and There is a solution is of the form: for suitable constants a1, a2, 71, 72 with r1 ≤r2. Find these constants. T1 = 72 = an-2an 1+ 15an-2 for n ≥ 2 an = a₁(ri)" + a₂ (1₂)" α₁ = α2 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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Let {an} be a sequence defined by ao = 2, a₁ = 3 and
=0
There is a solution is of the form:
for suitable constants a₁, a2, r1, r2 with r₁ ≤ r₂. Find these constants.
r1 =
r2 =
an = -2an-1 +15an-2 for n ≥ 2
an = = α₁ (rı)” + α₂(r₂)"
αι =
α2 =
Transcribed Image Text:Let {an} be a sequence defined by ao = 2, a₁ = 3 and =0 There is a solution is of the form: for suitable constants a₁, a2, r1, r2 with r₁ ≤ r₂. Find these constants. r1 = r2 = an = -2an-1 +15an-2 for n ≥ 2 an = = α₁ (rı)” + α₂(r₂)" αι = α2 =
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