Lesson 7-8: Recursive Sequences 18. 2 9 - K Adams...

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Lesson 7-8: Recursive Sequences P. 448: 10-30 even 10. 23, 30, 37, 44, 51 12. 8, 20, 50, 125, 312.5 14. 13, -29, 55, -113, 223 16. ! = 12, ! = !!! βˆ’ 13, β‰₯ 2 18. ! = 2, ! = !!! + 9, β‰₯ 2 20. ! = 40, ! = βˆ’1.5 !!! , β‰₯ 2 22. a) ! = 15, ! = !!! βˆ’ 2, β‰₯ 2 b) ! = 17 βˆ’ 2 24. ! = βˆ’12 + 10 26. ! = 45, ! = !!! βˆ’ 7, β‰₯ 2 28. a) ! = 0, ! = !!! + 4, β‰₯ 2 b) 28 30. a) The first two terms are 1. Starting with the third term, the two previous terms are added together to get the next term; 13, 21, 34, 55, 89 b) ! = 1, ! = 1, ! = !!! + !!! , β‰₯ 2 c) 610 d) There is no common difference.

Transcript of Lesson 7-8: Recursive Sequences 18. 2 9 - K Adams...

Page 1: Lesson 7-8: Recursive Sequences 18. 2 9 - K Adams Mathkadamsmath.weebly.com/uploads/1/0/7/3/10736895/...Lesson 7-8: Recursive Sequences P. 448: 10-30 even 10. 23, 30, 37, 44, 51 12.

Lesson7-8:RecursiveSequencesP.448:10-30even10.23,30,37,44,5112.8,20,50,125,312.514.13,-29,55,-113,22316.π‘Ž! = 12,π‘Ž! = π‘Ž!!! βˆ’ 13,𝑛 β‰₯ 218.π‘Ž! = 2,π‘Ž! = π‘Ž!!! + 9,𝑛 β‰₯ 220.π‘Ž! = 40,π‘Ž! = βˆ’1.5π‘Ž!!!,𝑛 β‰₯ 222.a)π‘Ž! = 15,π‘Ž! = π‘Ž!!! βˆ’ 2,𝑛 β‰₯ 2b)π‘Ž! = 17βˆ’ 2𝑛24.π‘Ž! = βˆ’12𝑛 + 1026.π‘Ž! = 45,π‘Ž! = π‘Ž!!! βˆ’ 7,𝑛 β‰₯ 228.a)π‘Ž! = 0,π‘Ž! = π‘Ž!!! + 4,𝑛 β‰₯ 2b)2830.a)Thefirsttwotermsare1.Startingwiththethirdterm,thetwoprevioustermsareaddedtogethertogetthenextterm;13,21,34,55,89b)π‘Ž! = 1,π‘Ž! = 1,π‘Ž! = π‘Ž!!! + π‘Ž!!!,𝑛 β‰₯ 2c)610d)Thereisnocommondifference.