Suppose we have the recurrence relation if n = 1) if W (n – 2) + 2W (n – 1) if n > 2 1 W (n) 3 2 - Use induction to prove all resulting values of W (n) are odd for n > 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose we have the recurrence relation
if n = 1)
if n = 2
(W (n – 2) + 2W(n – 1) if n > 2)
1
W (n) :
3
Use induction to prove all resulting values of W (n) are odd for n 2 1.
Transcribed Image Text:Suppose we have the recurrence relation if n = 1) if n = 2 (W (n – 2) + 2W(n – 1) if n > 2) 1 W (n) : 3 Use induction to prove all resulting values of W (n) are odd for n 2 1.
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