Arithmetic Sequences

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Arithmetic Sequence

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A sequence of numbers with a constant difference between consecutive terms (grows by adding).

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Common Difference

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The fixed amount added to each term to get the next term in an arithmetic sequence.

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Formula for nth term of an arithmetic sequence

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f(n) = mn + b

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Recursive Formula for an arithmetic sequence.

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f(0) = b; f(n) = f(n - 1) + m