Consider the recurrence relation an = -an-1 +12an-2 with first two terms ao = 1 and a₁ = 20. a. Write out the first 5 terms of the sequence defined by this recurrence relation. a2 = , az = , a4 = 9... b. Solve the recurrence relation. That is, find a closed formula for an. an =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the recurrence relation an = −an−1 + 12an-2 with first two terms ao =
a. Write out the first 5 terms of the
sequence
defined by this recurrence relation.
a2
=
9
az =
, a4 =
b. Solve the recurrence relation. That is, find a closed formula for an.
an =
J
-
1 and a ₁
AID
=
20.
←
9
Transcribed Image Text:Consider the recurrence relation an = −an−1 + 12an-2 with first two terms ao = a. Write out the first 5 terms of the sequence defined by this recurrence relation. a2 = 9 az = , a4 = b. Solve the recurrence relation. That is, find a closed formula for an. an = J - 1 and a ₁ AID = 20. ← 9
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