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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, ! = !!! 13, 2 18. ! = 2, ! = !!! + 9, 2 20. ! = 40, ! = 1.5 !!! , 2 22. a) ! = 15, ! = !!! 2, 2 b) ! = 17 2 24. ! = 12 + 10 26. ! = 45, ! = !!! 7, 2 28. a) ! = 0, ! = !!! + 4, 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, ! = !!! + !!! , 2 c) 610 d) There is no common difference.

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

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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.𝑎! = 12,𝑎! = 𝑎!!! − 13,𝑛 ≥ 218.𝑎! = 2,𝑎! = 𝑎!!! + 9,𝑛 ≥ 220.𝑎! = 40,𝑎! = −1.5𝑎!!!,𝑛 ≥ 222.a)𝑎! = 15,𝑎! = 𝑎!!! − 2,𝑛 ≥ 2b)𝑎! = 17− 2𝑛24.𝑎! = −12𝑛 + 1026.𝑎! = 45,𝑎! = 𝑎!!! − 7,𝑛 ≥ 228.a)𝑎! = 0,𝑎! = 𝑎!!! + 4,𝑛 ≥ 2b)2830.a)Thefirsttwotermsare1.Startingwiththethirdterm,thetwoprevioustermsareaddedtogethertogetthenextterm;13,21,34,55,89b)𝑎! = 1,𝑎! = 1,𝑎! = 𝑎!!! + 𝑎!!!,𝑛 ≥ 2c)610d)Thereisnocommondifference.