Geometric sequence
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This document discusses geometric sequences. 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. It 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 then gives some examples of geometric sequences and problems involving finding missing terms and common ratios.
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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.: