Number 33-0.9+0.09+0.009+... Chapter11Extra PracticeLesson 11-1 Decide whether each formula is explicit or recursive. Then find thefirst five terms of each sequence.1. a, = 3n + 22. a = 4; a, = a, -1+73. a, = 5n(n + 2)4. aj = 2; a, = a, - 15. a, = 6n216. a, = 6 -2nLesson 11-1 Find the next three terms in each sequence. Write an explicit and arecursive formula for each sequence.7. 3, 5, 7,...8. 19, 15, 11,...9. -12,-10.5, -9,...10. 0.2, 0.5, 0.8, ...11. -23, -56, -49,...12. 25, 37.5, 50, ...Lesson 11-2 Find the arithmetic mean a, of the given terms.13. a, - 1 = 10, a, + 1 = 2014. a, - 1 = 7, a, + 1 = 1915. a, - 1= -2, a, + 1 = -7O Lesson 11-3 Write the explicit formula for each geometric sequence.Then generate the first five terms.16. aj = 6, r = 217. aj = -27, r = }18. aj = 1900, r = 0.119. aj = -5, r = 320. aj = 1,r = 421. aj = 500, r = 0.2O Lesson 11-4 Use summation notation to write each arithmetic series for thespecified number of terms. Then evaluate each series.22. 21, 19, 17, 15,...;8 terms23. 4, 7, 10, 13, 16, 19, ... ; 10 terms24. –35, - 28, -21, – 14, ...; 7 terms25. 97, 96, 95, 94, 93, ... ; 20 termsO Lesson 11-4 For each sum, find the number of terms, the first term, and the lastterm. Then evaluate the sum.26.(2n + 3)27. E (4 - n)28. E (n + 1)29. E (3n – 5)n=1n=2n=1n=3O Lesson 11-5 Find the sum of each infinite geometric series.30. 4 + 2 + 1 +3 + ...31. 3 – 1 +32. 2.2 – 0.22 + 0.022 - .33. 0.9 + 0.09 + 0.009 + ...34. 5 -+ -35. 1 + 0.1 + 0.01 + .O Lesson 11-5 Determine whether each series is arithmetic or geometric. Then findthe sum to the given term.36. 3 + 6 + 9 + 12 + 15 +...; 10th term37. 3 + 6 + 12 + 24 + 48 + ...; 10th term38. -1000 + 500 – 250 + 125 – ...; 7th term39. 87 + 72 + 57 + 42 +.;20th termLesson 11-6 Write and evaluate sums to approximate the area under eachcurve for the domain 0 s x s 2. First use inscribed rectangles 1 unit wide.Then use circumscribed rectangles 1 unit wide.40. f(x) = 2x²41. y = x342. g(x) = 2x + 343. h(x) = |x + 3|832Chapter 11 Extra Practice

Name: Number 33-0.9+0.09+0.009+... Chapter11Extra PracticeLesson 11-1 Decide
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Description: Number 33-0.9+0.09+0.009+... Chapter11Extra PracticeLesson 11-1 Decide whether each formula is explicit or recursive. Then find thefirst five terms of each sequence.1. a, = 3n + 22. a = 4; a, = a, -1+73. a, = 5n(n + 2)4. aj = 2; a, = a, - 15. a, = 6n