9.4 part 2.ppt worked
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This document provides information about geometric sequences including their key properties and formulas. It defines a geometric sequence as one where the ratio between consecutive terms is constant, known as the common ratio. Formulas given include the recursive formula an = an-1r and explicit formula an = a1rn-1. Examples are provided for identifying geometric sequences and using the formulas to find missing terms. Additional notes state that arithmetic sequences have linear graphs while geometric sequences have exponential graphs.
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9.4 part 2.ppt worked
- 3. Geometric Sequences In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio. To find r: stterm ndterm 1 2
- 4. Geometric, Arithmetic, Neither? (find the next 2 terms if so) 1. 5, 15, 45, 135… 2. 15, 30, 45, 60… 3. 6, -24, 96, -384… 4. 8, 20, 32, 44…
- 5. Geometric Sequences Formulas Recursive Formula an = an-1 r Explicit Formula an = a1 rn-1 • •
- 6. Find the 19th term… 1. 11, 33, 99, 297… 2. 20, 17, 14, 11, 8…
- 7. FYI - Graphs Arithmetic Graphs are linear Geometric Graphs are exponential
- 8. Geometric Mean Geometric Mean = 3. 20, _____, 80 4. 3, ____, 18, 75 5. 28, ____, 5103 numbersproductof 2