Algebra II U1L10&11

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What is a recursive definition?

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A recursive definition defines a sequence in terms of itself, using previous terms to calculate subsequent terms.

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What is the base case in a recursive sequence?

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The base case is the initial term of the sequence that does not depend on previous terms, providing a starting point for the recursion.

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Define the term 'sequence' in mathematics.

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A sequence is an ordered list of numbers, where each number is called a term.

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What is the formula for the nth term of a geometric sequence?

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What is the formula for 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 that each term increases or decreases by in an arithmetic sequence.

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What is the common ratio in a geometric sequence?

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The common ratio is the constant factor by which each term of a geometric sequence is multiplied to get the next term.

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How do you find the first five terms of a sequence given a recursive formula?

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Start with the base case and use the recursive formula to calculate each subsequent term.

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It signifies that the first term of the sequence g is 200.