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12. 25, 37.5, 50,...

12. 25, 37.5, 50,...

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.3: Arithmetic Sequences And Series
Problem 19E: Find the missing term in each arithmetic sequence. Find the 55th term of an arithmetic sequence...
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Number 12- 25, 37.5, 50,...
Chapter 11 Extra Practice O Lesson 11-1 Decide whether each formula is explicit or recursive. Then find the first five terms of each sequence. Lessa 3. a, = 5n(n + 2) 1. (t 1. a, 3n + 2 2. a = 4; a,- a, -+7 4. aj = 2; a,- a, -3 6. a, = 6 - 2n 5. a, = 6n2 1. 2. • Lesson 11-1 Find the next three terms in each sequence. Write an explicit and a recursive formula for each sequence. O Less 9. -12, –10.5, -9,... 12. 25, 37.5, 50, ... 3. 7. 3, 5, 7,... 8. 19, 15, 11, . .. 4. 10. 0.2, 0.5, 0.8,... 11. -23, -36, -49,. .. 5. • Lesson 11-2 Find the arithmetic mean a, of the given terms. 13. a, -1 = 10, a, +1 = 20 14. a, -1 = 7, a, + 1 = 19 15. a, -1= -2, a, + 1 = -7 O Lesson 11-3 Write the explicit formula for each geometric sequence. Then generate the first five terms. 16. a¡ = 6,r = 2 17. a = -27, r = 18. a = 1900, r = 0.1 19. az = -5,r = 3 20. a, = 1,r = 4 21. aj = 500, r = 0.2 O Lesson 11-4 Use summation notation to write each arithmetic series for the specified number of terms. Then evaluate each series. 22. 21, 19, 17, 15, . . . ; 8 terms 23. 4, 7, 10, 13, 16, 19, . .. ; 10 terms 24. – 35, -28, -21, – 14,. . . ; 7 terms 25. 97, 96, 95. 94, 93....:20 terms Lesson 11-4 For each sum, find the number of terms, the first term, and the last term. Then evaluate the sum. 10 26. E (2n + 3) 27. E (4 - n) 28. E (n + 1) 29. У (Зп - 5) n=1 n=2 n=1 n=3 Lesson 11-5 Find the sum of each infinite geometric series. 30. 4 + 2 + 1 ++ 31. 3 – 1 +- +... 32. 2.2 – 0.22 + 0.022 -. 34. 5 – +-+.. 33. 0.9 + 0.09 + 0.009 +. 35. 1 + 0.1 + 0.01 + ... O Lesson 11-5 Determine whether each series is arithmetic or geometric. Then find the sum to the given term. 36. 3 + 6 + 9 + 12 + 15 + ...; 10th term 37. 3 + 6 + 12 + 24 + 48 +...; 10th term 38. -1000 + 500 – 250 + 125 - ...; 7th term 39. 87 + 72 + 57 + 42 + ...; 20th term Lesson 11-6 Write and evaluate sums to approximate the area under each curve for the domain 0 sr S 2. First use inscribed rectangles 1 unit wide. Then use circumscribed rectangles 1 unit wide. 40. f(x) = 2x2 41. y = x3 42. g(x) = 2x + 3 43. h(x) = |x + 3| 832 Chapter 11 Extra Practice LTAETUNI, CR. 95453
Transcribed Image Text:Chapter 11 Extra Practice O Lesson 11-1 Decide whether each formula is explicit or recursive. Then find the first five terms of each sequence. Lessa 3. a, = 5n(n + 2) 1. (t 1. a, 3n + 2 2. a = 4; a,- a, -+7 4. aj = 2; a,- a, -3 6. a, = 6 - 2n 5. a, = 6n2 1. 2. • Lesson 11-1 Find the next three terms in each sequence. Write an explicit and a recursive formula for each sequence. O Less 9. -12, –10.5, -9,... 12. 25, 37.5, 50, ... 3. 7. 3, 5, 7,... 8. 19, 15, 11, . .. 4. 10. 0.2, 0.5, 0.8,... 11. -23, -36, -49,. .. 5. • Lesson 11-2 Find the arithmetic mean a, of the given terms. 13. a, -1 = 10, a, +1 = 20 14. a, -1 = 7, a, + 1 = 19 15. a, -1= -2, a, + 1 = -7 O Lesson 11-3 Write the explicit formula for each geometric sequence. Then generate the first five terms. 16. a¡ = 6,r = 2 17. a = -27, r = 18. a = 1900, r = 0.1 19. az = -5,r = 3 20. a, = 1,r = 4 21. aj = 500, r = 0.2 O Lesson 11-4 Use summation notation to write each arithmetic series for the specified number of terms. Then evaluate each series. 22. 21, 19, 17, 15, . . . ; 8 terms 23. 4, 7, 10, 13, 16, 19, . .. ; 10 terms 24. – 35, -28, -21, – 14,. . . ; 7 terms 25. 97, 96, 95. 94, 93....:20 terms Lesson 11-4 For each sum, find the number of terms, the first term, and the last term. Then evaluate the sum. 10 26. E (2n + 3) 27. E (4 - n) 28. E (n + 1) 29. У (Зп - 5) n=1 n=2 n=1 n=3 Lesson 11-5 Find the sum of each infinite geometric series. 30. 4 + 2 + 1 ++ 31. 3 – 1 +- +... 32. 2.2 – 0.22 + 0.022 -. 34. 5 – +-+.. 33. 0.9 + 0.09 + 0.009 +. 35. 1 + 0.1 + 0.01 + ... O Lesson 11-5 Determine whether each series is arithmetic or geometric. Then find the sum to the given term. 36. 3 + 6 + 9 + 12 + 15 + ...; 10th term 37. 3 + 6 + 12 + 24 + 48 +...; 10th term 38. -1000 + 500 – 250 + 125 - ...; 7th term 39. 87 + 72 + 57 + 42 + ...; 20th term Lesson 11-6 Write and evaluate sums to approximate the area under each curve for the domain 0 sr S 2. First use inscribed rectangles 1 unit wide. Then use circumscribed rectangles 1 unit wide. 40. f(x) = 2x2 41. y = x3 42. g(x) = 2x + 3 43. h(x) = |x + 3| 832 Chapter 11 Extra Practice LTAETUNI, CR. 95453
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