Grosse Pointe Public Schools
Practice WorksheetAlgebra 2 CPName______________________12.2 – 12.3 Assignment: I4Tell whether the following sequences are arithmetic or geometric, find the next term in the sequence, and then find d or r.1. 3, 12, 48, 192, 768,...2. -3, -1, 1, 3, 5, ...3. 100, 50, 25, ,...4. 8, 4, 0, -4, -8, -12, ...Determine whether the sequence is arithmetic or geometric, write a rule for the nth term of the sequence, and then find a8. 5. -25, -29, -33, -37, ....6. 6, 2, , , , ...7. 2, 8, 32, 128, ...8. 4, 8, 12, 16, ...9. 7, 10, 13, 16,…10. 3, 12, 48, 192,…Write a rule for the nth term of the arithmetic or geometric sequence. Then find a20.11. a5 = 15 and d = 512. a2 = 6 and r = 213. a10 = 150 and d = -514. a2 = 2, r = Write a rule for the nth term of the arithmetic sequence given two terms. 15. a20 = 240, a15 = 17016. a16 = 6, a20 = 7Write a rule for the nth term of the geometric sequence given two terms. 17. a2 = 36, a4 = 57618. a2 = 4, a5 = Find the sum of the following arithmetic series.19. 3 + 6 + 9 + 12 + 15 + 18 +... ; n = 25 20. -1 + 2 + 5 + 8 + 11 + 14 + ... ; n = 2021. 22. Find the sum of the following geometric series.23. ; n = 15 24. 1000 + 500 + 250 + 125 + ... ; n = 20 25. 26. Answers1. geometric, r = 4, a6= 30722. arithmetic, d = 2, a6 = 73. geometric, r = 12, a6= 2584. arithmetic, d = -4, a6 = -165. an=-4n-21, a8=-53 6. an=613n-1, a8=2729 7. an=24n-1, a8=32, 768 8. an=4n, a8=32 9. an=3n+4 a8=2810. an=34n-1, a8=49, 152 11. an=5n-10, a20=90 12. an=32n-1, a20=1,572,86413. an=-5n+200, a20=100 14. an=412n-1, a20=1131,072 15. an=14n-4016. an= 14n+2 17. an=94n-1, an=-9-4n-1 18. an=343n-119. S25=97520. S20=550 21. S20=-14022. S6=54 23. S15=327672 24. S20=7339993367025. S8=32800243 26. S8=3187516 ................
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