Algebra 1A Unit 3 Part 2 Review PDF
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This document is a review worksheet for algebra 1, focusing on sequences, arithmetic and geometric sequences, functions, and function types. It contains practice problems for students to work through.
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Algebra 1A Unit 3 Part 2 Review Name ____________________________ Date __________________ Hour ____ Use the given formula to write the first four terms of the sequence. 1. 𝑎1 = 6, 𝑎𝑛 = 𝑎...
Algebra 1A Unit 3 Part 2 Review Name ____________________________ Date __________________ Hour ____ Use the given formula to write the first four terms of the sequence. 1. 𝑎1 = 6, 𝑎𝑛 = 𝑎𝑛−1 + 8 2. 𝑔𝑛 = −2 ∙ 3𝑛−1 3. 𝑎1 = 5, 𝑎𝑛 = 𝑎𝑛−1 ∙ 4 4. 𝑎𝑛 = 12 − 9(𝑛 − 1) Determine if each of the following sequences are arithmetic or geometric. Then write the recursive rule for the sequence. 5. 3, 6, 9, 12, 15, …. 6. 5, 15, 45, 135, … 7. 100, 20, 4, 0.8, … 8. 48, 44, 40, 36, … 9. Use the given explicit formula to find which term in the sequence would equal 28. 𝑎𝑛 = 4 + 6(𝑛 − 1) Determine if each of the following sequences are arithmetic or geometric. Then write the explicit rule for the sequence. 10. 800, 200, 50, 12.5, … 11. 4, -3, -10, -17, … 12. -1, 5, 11, 17, 23 … 13. 2, 8, 32, 128, 512, … Given the following sequences, identify the sequence and function type and graph. 14. n an 1 6 2 10 3 14 4 18 Sequence Type: _________________________________ Function Type: _________________________________ 15. n an 1 32 2 16 3 8 4 4 Sequence Type: _________________________________ Function Type: _________________________________ 16. Determine if the following relations are functions (YES or NO). a. b. x y 8 15 9 13 10 15 8 13 17. Evaluate the function 𝑓(𝑥) = 4𝑥 − 5 at 𝑥 = 3. A. f (3) = 1.5 B. f (3) = -4 C. f (3) = 64 D. f (3) = 59 18. Determine if each of the following functions are linear, quadratic, or exponential. a. 𝑦 = 3𝑥 − 6 b. c. 𝑦 = 2𝑥(𝑥 − 5) d. e. 𝑓(𝑥) = 5𝑥 + 3 f. Match each of the following sequences to their corresponding rule. 1 _________ 19. 1, 3, 9, 27, …. A. 𝑔1 = 384, 𝑔𝑛 = 𝑔𝑛−1 4 _________ 20. 3, 14, 25, 36, …. B. 𝑎𝑛 = 3 + 11(𝑛 − 1) _________ 21. 384, 96, 24, 6, … C. 𝑎1 = 7, 𝑎𝑛 = 𝑎𝑛−1 − 5 _________ 22. 7, 2, -3, -8, …. D. 𝑔𝑛 = 1 ∙ 3𝑔𝑛−1 23. Identify the y – intercept of the given graph. y – intercept: ___________________________ 24. Given the following recursive rule, find the 4th term of the sequence. 1 𝑧1 = 256, 𝑧𝑛 = 𝑧𝑛−1 2
