the recurrence relation an = 2an-1 +3an-2 and initial conditions ao = 1, a₁ = 2. Solve the recurrence relation, that is, find a closed formula for an. Use any method we have covered in class, but make sure to show your work.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 67SE: Consider the sequence defined by an=68n. Is an=421 a term in the sequence? Verify the result.
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Consider the sequence (an)nzo which starts 1, 2, 7, 20, 61, 122,..., defined by
Transcribed Image Text:Consider the sequence (an)nzo which starts 1, 2, 7, 20, 61, 122,..., defined by
the recurrence relation an = 2an-1 +3an-2 and initial conditions ao = 1, a₁ = 2.
Solve the recurrence relation, that is, find a closed formula for an. Use any method
we have covered in class, but make sure to show your work.
Transcribed Image Text:the recurrence relation an = 2an-1 +3an-2 and initial conditions ao = 1, a₁ = 2. Solve the recurrence relation, that is, find a closed formula for an. Use any method we have covered in class, but make sure to show your work.
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