Solve the recurrence relation. That is, find a closed formula for an.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the recurrence relation an = -3a,-1+ 10an-2 with first two terms ao = 6 and aj = 10.
a. Write out the first 5 terms of the sequence defined by this recurrence relation.
ao = 6
, ај — 10
, ад — 30
, аз — 10
, a4 =
270
b. Solve the recurrence relation. That is, find a closed formula for an.
an =
Transcribed Image Text:Consider the recurrence relation an = -3a,-1+ 10an-2 with first two terms ao = 6 and aj = 10. a. Write out the first 5 terms of the sequence defined by this recurrence relation. ao = 6 , ај — 10 , ад — 30 , аз — 10 , a4 = 270 b. Solve the recurrence relation. That is, find a closed formula for an. an =
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