Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
100%

Consider the sequences 2, 5, 12, 29, 70, 169, 408, . . . (with a0 = 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. Don’t be afraid to use the quadratic formula.
(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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