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Consider the sequences 2,5, 12, 29, 70, 169, 408,... (with ao = 2). %3D (a) Describe the rate of growth of this sequence. (b) Find a recursive definition for the sequence. (c) Find a closed formula for the sequence.

Consider the sequences 2,5, 12, 29, 70, 169, 408,... (with ao = 2). %3D (a) Describe the rate of growth of this sequence. (b) Find a recursive definition for the sequence. (c) Find a closed formula for 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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characterištič root 0. 2. Consider the sequences 2,5, 12, 29, 70, 169,408,... (with ao = 2). (a) Describe the rate of growth of this sequence. (b) Find a recursive definition for the sequence. (c) Find a closed formula for the sequence. (d) If you look at the sequence of differences between terms, and then the sequence of second differences, the sequence of third differences, and so on, will you ever get a constant sequence? Explain how you know.
Transcribed Image Text:characterištič root 0. 2. Consider the sequences 2,5, 12, 29, 70, 169,408,... (with ao = 2). (a) Describe the rate of growth of this sequence. (b) Find a recursive definition for the sequence. (c) Find a closed formula for the sequence. (d) If you look at the sequence of differences between terms, and then the sequence of second differences, the sequence of third differences, and so on, will you ever get a constant sequence? Explain how you know.
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