Average Rate of Change & Sequences

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What is the explicit formula for the sequence 25, 21, 17, 13,...?

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Front

Identify the type of formula: a_n = -4n - 1. What are the first four terms?

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This is an explicit formula. The first four terms are -5, -9, -13, -17.

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The first four terms are 3, 8, 13, 18.

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The y-intercept of g(x) is greater than that of f(x).

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What is the recursive formula for the sequence 7, 14, 28, 56, 112,...?

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Front

Define the term 'explicit formula' in sequences.

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An explicit formula defines the nth term of a sequence directly in terms of n.

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Define the term 'recursive formula' in sequences.

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A recursive formula defines each term of a sequence based on the previous term(s).

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The first term is 5.

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How do you find the average rate of change of a function between two points?

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What is the common difference in the arithmetic sequence 10, 7, 4, 1,...?

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The common difference is -3.