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Geometric Sequence

Geometric Sequence. a n = ar (n-1). Find the common ratio by dividing consecutive terms. Find the next term by multiplying the common ratio by the last term. Find the nth term by using a n = ar (n-1) , where n is the term number and r is the common ratio. 81, 27, 9, 3, 1, ⅓, ….

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Geometric Sequence

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  1. Geometric Sequence

  2. an = ar(n-1) • Find the common ratio by dividing consecutive terms. • Find the next term by multiplying the common ratio by the last term. • Find the nth term by using an = ar(n-1), where n is the term number and r is the common ratio.

  3. 81, 27, 9, 3, 1, ⅓, … • Find the common ratio. • 27/81 = 1/3 • 9/27 = 1/3 • 3/9 = 1/3 • What is the common ratio? • Find the next term in the sequence. • ⅓ x ⅓ = 1/9

  4. 81, 27, 9, 3, 1, ⅓, … • Find the 8th term in the sequence. • an = ar(n-1) • a8 = 81(⅓)(8-1) • a8 = 81 (⅓)(7) • a8 = 81 (1/2187) • a8 = 81/2187 • a8 = 1/27

  5. 1, 2, 4, 8, 16, … • Find the common ratio. • Find the next term in the sequence. • Find the 10th term in the sequence.

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