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Geometric Sequences

Geometric Sequences. Chapter 5 – Lesson 6. With a partner …. What is it?. Geometric sequence – a set of terms that has a common ratio EX 1, 8, 64, 512, … EX2 -4, 8, -16, 32, …. NEXT-NOW Statements. Uses NEXT = NOW * r (r=common ratio) EX 1, 4, 16, 64, … EX2 -2, 4, -8, 16, … EX3 .

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Geometric Sequences

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  1. Geometric Sequences Chapter 5 – Lesson 6

  2. With a partner …

  3. What is it? • Geometric sequence – a set of terms that has a common ratio • EX 1, 8, 64, 512, … • EX2 -4, 8, -16, 32, …

  4. NEXT-NOW Statements • Uses NEXT = NOW * r (r=common ratio) • EX 1, 4, 16, 64, … • EX2 -2, 4, -8, 16, … • EX3

  5. Recursive Formula • for n ≥ 2 • EX 1, 4, 16, 64, … • EX2 2, -4, 8, -16, …

  6. Try a couple … • Write a NEXT-NOW statement and a recursive formula for each sequence. Then, find the next three terms. • 1) 1/3, 1/9, 1/27, 1/81, … • 2) 5, 25, 125, 625, …

  7. Explicit Formula • for n ≥ 1 • EX 1, 4, 16, 64, … • EX2 2, -4, 8, -16, …

  8. Problem Solving

  9. Geometric Sequences as Functions • Write as an exponential equation …

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