Consider the recurrence relation an = 3an-1 + 10an-2 with first two terms ao = 5 and = 6. a₁ = a. Write out the first 5 terms of the sequence defined by this recurrence relation. a2 = un , az = ▼ , a4 = an. b. Solve the recurrence relation. That is, find a closed formula for

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 35E
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=
Consider the recurrence relation an
a₁ = 6.
a. Write out the first 5 terms of the
a2
un
JI
3an-1 + 10an-2 with first two terms a
sequence
, az
, A4 =
b. Solve the recurrence relation. That is, find a closed formula for an.
=
defined by this recurrence relation.
5 and
Transcribed Image Text:= Consider the recurrence relation an a₁ = 6. a. Write out the first 5 terms of the a2 un JI 3an-1 + 10an-2 with first two terms a sequence , az , A4 = b. Solve the recurrence relation. That is, find a closed formula for an. = defined by this recurrence relation. 5 and
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