1, t, t2, t3, , tn where t ≠ 0, satisfies the given recurrence relation (but not necessarily the initial conditions), and find all possible values of t. (Enter your answers as a comma-separated list.) t = 3,6 (b) Suppose a sequence satisfies the given initial conditions as well as the recurrence relation, and find an explicit formula for the sequence in terms of n. bn = for every integer n ≥ 0
1, t, t2, t3, , tn where t ≠ 0, satisfies the given recurrence relation (but not necessarily the initial conditions), and find all possible values of t. (Enter your answers as a comma-separated list.) t = 3,6 (b) Suppose a sequence satisfies the given initial conditions as well as the recurrence relation, and find an explicit formula for the sequence in terms of n. bn = for every integer n ≥ 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Consider the following.
bk | = | 9bk −1 − 18bk − 2, for every integer k ≥ 2 |
b0 | = | 2, b1 = 4 |
(a)
Suppose a sequence of the form
1, t, t2, t3, , tn
where
t ≠ 0,
satisfies the given recurrence relation (but not necessarily the initial conditions), and find all possible values of t. (Enter your answers as a comma-separated list.)t =
3,6
(b)
Suppose a sequence satisfies the given initial conditions as well as the recurrence relation, and find an explicit formula for the sequence in terms of n.
bn =
for every integer n ≥ 0
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