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8.) Let (an) n zo be a sequence defined by an=n2²+5 Find the first 4 (four) elements of the sequence. b) Show that the relation sequence satifies the recurrence an=4an-1-4an-2 +5 for every nz 2. C.) Find the general term (a closed formula of the first difference of the sequence.

8.) Let (an) n zo be a sequence defined by an=n2²+5 Find the first 4 (four) elements of the sequence. b) Show that the relation sequence satifies the recurrence an=4an-1-4an-2 +5 for every nz 2. C.) Find the general term (a closed formula of the first difference of the sequence.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8.) Let (an) n zo be a sequence defined by an=n2² +5 a) Find the first 4 (four) elements of the sequence. b) Show that the sequence satifies the recurrence relation an = 4an-1-4an-2 4an-2 +5 for every nz 2. C.) Find the general term (a closed formula of the first difference of the sequence.
Transcribed Image Text:8.) Let (an) n zo be a sequence defined by an=n2² +5 a) Find the first 4 (four) elements of the sequence. b) Show that the sequence satifies the recurrence relation an = 4an-1-4an-2 4an-2 +5 for every nz 2. C.) Find the general term (a closed formula of the first difference of the sequence.
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