Exercise 4.8.4: Arithmetic sequences, geometric sequences and sequence properties. (a) What are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence increasing? (b) What are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence decreasing? (c) What are the conditions on the common difference d and initial value a, that would make the resulting arithmetic sequence increasing?
Exercise 4.8.4: Arithmetic sequences, geometric sequences and sequence properties. (a) What are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence increasing? (b) What are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence decreasing? (c) What are the conditions on the common difference d and initial value a, that would make the resulting arithmetic sequence increasing?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Exercise 4.8.4: Arithmetic sequences, geometric sequences and sequence properties.
(a)
What are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence increasing?
(b)
What are the conditions on the common ratio r and initial value a, that would make the resulting geometric sequence decreasing?
(c)
What are the conditions on the common difference d and initial value a, that would make the resulting arithmetic sequence increasing?
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