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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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.