(d) What are the conditions on the common difference d and initial value a, that would make the resulting arithmetic sequence decreasing?
(d) What are the conditions on the common difference d and initial value a, that would make the resulting arithmetic sequence decreasing?
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Exercise 4.8.4: Arithmetic sequences, geometric sequences and sequence properties.
(d)
What are the conditions on the common difference d and initial value a, that would make the resulting arithmetic sequence decreasing?
(e)
Is it possible to have an arithmetic sequence that is non-decreasing but not increasing?
(f)
Is it possible to have a geometric sequence that is non-increasing but not decreasing?
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