algebra1 eoc29

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What is the formula for exponential growth?

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How do you find the first four terms of a recursive sequence?

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What is the product of two exponential expressions with the same base?

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Front

What is a sequence in mathematics?

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A sequence is an ordered list of numbers that follows a specific rule or pattern. Each number in the sequence is called a term.

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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 the previous term(s), while an explicit formula defines the nth term directly without reference to previous terms.

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Front

What is the initial value in an exponential growth function?

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What does the term 'rate of change' mean in the context of functions?

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The rate of change refers to how much a quantity changes in relation to another quantity, often expressed as a percentage in growth functions.

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What is the significance of the base in an exponential function?

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The base in an exponential function determines the growth factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

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How do you identify the common difference in an arithmetic sequence?

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The common difference in an arithmetic sequence is found by subtracting any term from the subsequent term. For example, in the sequence 2, 5, 8, the common difference is 3.