Consider the recurrence relation an = and a₁ = 13. a. Write out the first 5 terms of the sequence defined by this recurrence relation. ao = 124 1966 10 an 17 18 -2an-1 + 15an-2 with first two terms ao = 10 • (-5)" + , a₁ = , a3 = -53 b. Solve the recurrence relation. That is, find a closed formula for an. 163 -· (3)" 18 13 , A2 = , A4 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 14E
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Consider the recurrence relation an = −2an-1 + 15an-2 with first two terms ao = 10
and a₁ = 13.
ai =
a. Write out the first 5 terms of the sequence defined by this recurrence relation.
ao = 10
124
1966
an =
17
18
9
· (−5)” +
, a1 =
163
18
az =
-53
an.
b. Solve the recurrence relation. That is, find a closed formula for
13
· (3)”
, A2
, A4 =
Transcribed Image Text:Consider the recurrence relation an = −2an-1 + 15an-2 with first two terms ao = 10 and a₁ = 13. ai = a. Write out the first 5 terms of the sequence defined by this recurrence relation. ao = 10 124 1966 an = 17 18 9 · (−5)” + , a1 = 163 18 az = -53 an. b. Solve the recurrence relation. That is, find a closed formula for 13 · (3)” , A2 , A4 =
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