May 16, 2011 Section 9.4 Sequences Arithmetic Sequence A sequence that is of the form The number d is called the common difference. recursive formula: explicit formula: Find the first 4 terms and the fifty-third term of the sequence 1 May 16, 2011 Geometic Sequence A sequence that is of the form The number r is called the common ratio. recursive formula: explicit formula: Given the geometric sequence -2, 2, -2, 2, ... Find the common ratio. Find the eighth term. Find a recursive rule for the nth term. Find an explicit rule for the nth term. 2 May 16, 2011 The fifth and ninth terms of an arithmetic sequence are -5 and -17, respectively. Find the first term and a recursive rule for the nth term. The third and sixth terms of a geometic sequence are -75 and -9375, respectively. Find the first term, the common ratio and an explicit rule for the nth term. 3 May 16, 2011 4
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