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 =
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
Related questions
Question
![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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F528551f9-566e-4aa5-b9fa-c873f15d192a%2F80ec9d30-6057-4688-b813-27aa247c1124%2Ficfv0q_processed.png&w=3840&q=75)
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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