Geometric Sequence
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This document discusses geometric sequences and provides examples. It defines a geometric sequence as a sequence where each term is found by multiplying or dividing the same value from one term to the next. An example given is 2, 4, 8, 16, 32, 64, 128, etc. The document also provides the general formula for a geometric sequence as {a, ar, ar2, ar3, ...} where a is the first term and r is the common ratio between terms. It gives practice problems for finding missing terms and the common ratio of geometric sequences.
Geometric Sequence
- 8. What is Geometric Sequence??? Geometric sequence is a sequence where each term is found by multiplying or dividing the same value from one term to the next.
- 9. Example 2, 4, 8, 16, 32, 64, 128, …
- 10. In general, we could write a geometric sequence like this: { a, ar, ar2, ar3, … } where: a is the first term, and r is the factor between the terms
- 12. 10, 30, 90, 270, … 8, 4, 2, 1, ½, ¼, …
- 13. Find the nth term of the ff. sequence 1.) 5, 20, 80, 320, … a8 2.) 1/9, 1/3, 1, 3, … a9 3.) ½, ¼, 1/8, 1/16, … a10
- 14. Given the 4th term of geometric sequence 40 and 7th term 320. What is the 10th term?
- 15. 1. Find the missing term: a. 2/9, 2/3, 2, 6, 18, … a8 b. 0.5, 3.5, 24.5, 171.5, … a7 c. 80, 40, 20, 10, 5, … a8 2. The 4th term of the geometric sequence is 27 and 7th term is 1. What is the 1st term? 3. The 1st term of the geometric sequence is 192 and the 5th term is 0.75. What is the common ratio? Solve the ff.:
- 16. Assignment: 1. What is Fibonacci sequence? 2. What is the formula of getting the nth term of a Fibonacci sequence? Reference: Intermediate Algebra pages 120- 121