Exploring Sequences and Functions

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Define a recursive sequence.

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

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Positive integers.

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Write the recursive formula for the arithmetic sequence: 8, 11, 14, 17, ...

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What is an exponential function?

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

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A recursive formula defines each term based on previous terms, while an explicit formula defines the nth term directly.

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How do you find the nth term of an arithmetic sequence?

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What is the common difference in an arithmetic sequence?

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The common difference is the constant amount added to each term to get the next term.

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Construct an exponential function given the points (0, 3) and (2, 12).

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