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Arithmetic Sequences Standard: M8A3 e. Use tables to describe sequences recursively and with a formula in closed form.

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Arithmetic Sequences Sequence: a list of numbers in a specific order. Term: each number in a sequence

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Arithmetic Sequences Arithmetic Sequence: a sequence in which each term after the first term is found by adding a constant, called the common difference (d), to the previous term. Common Difference : refers to the difference between a given term and the next term in an arithmetic sequence.

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Find the Common Difference 82, 76, 70, 64 What is the common difference of the arithmetic sequence? Find the next 3 terms in the sequence. 82, 76, 70, 64, -6 58,52,46

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Recursive Form Use the recursive form to find the next term or the next few terms in an arithmetic sequence. t n = t n-1 + d d = the common difference n = the term you are wanting to find Find the next term of the following arithmetic sequence using the formula above. 3, 6, 9, 12

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Closed Form Use the closed formula to find the n th term of an arithmetic sequence. a n = a 1 + (n – 1)d n = the term you are wanting to find a 1 = the first term of the sequence d = the common difference Find the 201 st term of the following sequence using the formula above: 82, 76, 70, 64 a 201 = 82 + (201 – 1)(-6) a 201 = -1118

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