2. Consider the second-order homogeneous recurrence relation an -7an-1+12an-2 = 0 with initial conditions ao = 1, a1 = 2. (a) Find the next three terms of the sequence. (b) Find the general solution. (c) Find the unique solution with the given initial conditions.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 52EQ
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Consider the second-order homogeneous recurrence relation an –7an-1+12an-2 = 0
with initial conditions ao = 1, a1 = 2.
(a) Find the next three terms of the sequence.
(b) Find the general solution.
(c) Find the unique solution with the given initial conditions.
2.
Transcribed Image Text:Consider the second-order homogeneous recurrence relation an –7an-1+12an-2 = 0 with initial conditions ao = 1, a1 = 2. (a) Find the next three terms of the sequence. (b) Find the general solution. (c) Find the unique solution with the given initial conditions. 2.
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