9.1 HPC WUP: Explicit/Recursive Sequence Definitions

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What is a recursive sequence?

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A recursive sequence is a sequence of numbers where each term is defined as a function of one or more of the preceding terms.

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What is an explicit formula in the context of sequences?

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An explicit formula provides a direct way to calculate the nth term of a sequence without needing to know the previous terms.

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How do you convert an explicit formula to a recursive formula?

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To convert, identify the first term and express each subsequent term as a function of the previous term.

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It indicates that the sequence starts from the first term, where n is at least 1.

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The sequence alternates between positive and negative values.

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What is the difference between a recursive and an explicit formula?

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A recursive formula defines terms based on previous terms, while an explicit formula defines terms directly.

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