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AA2 notes 10.1 Sequences as Functions The BIG Idea: Identify and evaluate both arithmetic and geometric sequences. A sequence is a set of numbers in a particular order or pattern. Each number in a sequence is called a term. A sequence may be finite or infinite. The first term is denoted a1, the second term is a2, and so on. In an ___________________ each term is defined by adding a constant d, called the common ____________, to the previous term. Determine if the sequence is arithmetic. If so, find d. 1) 7, 13, 19, 25,... 2) 3, 1, 2, 6,... 3) In a ____________________ each term is defined by multiplying the previous term by a constant value r, called the common __________. Find the next 4 terms in the arithmetic sequence. Then graph. 4) 3, 5, 7, 9,... 5) 10, 6, 2, 2,... 6) The 5th term of an arithmetic sequence is 7. The 10th term of the sequence is 22. Write an equation for the sequence and find the 17th term. Determine if the sequence is geometric. If so, find r. 7) 12, 6, 3, 1.5,... 8) 64, 48, 36, 27,... 9) 3, 6, 18, 72,... Determine whether the sequence is arithmetic, geometric, or neither. 12) 625, 500, 400, 320,... 13) 1, 4, 9, 16, 25,... 14) 18, 7, 4, 15,... Find the next 3 terms in the geometric sequence. Then graph. 10) 1, 2, 4, 8,... 11)
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