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Section 5.7

Chapter 5. Section 5.7. Exercise #1. Find each. the first term the common difference the twelfth term the sum of the first 12 terms. 5 , 13 , 21 , 29 , 37 …. a). the first term. b). the common difference. 5. = 8. 13  5. 5 , 13 , 21 , 29 , 37 …. c).

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Section 5.7

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  1. Chapter 5 Section 5.7 Exercise #1

  2. Find each. the first term the common difference the twelfth term the sum of the first 12 terms

  3. 5, 13, 21, 29, 37… a) the first term b) the common difference 5 = 8 13  5

  4. 5, 13, 21, 29, 37… c) the twelfth term an = a1 + (n  1)d a12 = 5+ (12  1)(8) = 5+ (11)(8) = 5+ 88 = 93

  5. 5, 13, 21, 29, 37… d) the sum of the first 12 terms + = + = = = 588

  6. Chapter 5 Section 5.7 Exercise #9

  7. Find each. the first term the common ratio the twelfth term the sum of the first 12 terms

  8. 4, 12, 36, 108, 324… a) the first term b) the common ratio 4 = 3

  9. 4, 12, 36, 108, 324… c) the twelfth term an = a1rn  1 a12 = 4(3)12  1 = 4(311) = 708,588

  10. 4, 12, 36, 108, 324… d) the sum of the first 12 terms = = = = 1,062,880

  11. Chapter 5 Section 5.7 Exercise #19

  12. Write the first five terms of the arithmetic sequence when a1= 9, d= 3

  13. 9, a1= 9 d= 3

  14. a1= 9 d= 3 9, a2  a1 = d a2  (9) = 3 a2 + 9 = 3 a2 = 3 9 a2 = 12 12,

  15. a1= 9 d= 3 a3  a2 = d 9, 12, a3  (12) = 3 a2 + 12 = 3 a2 = 3 12 a2 = 15 15,

  16. a1= 9 d= 3 a4  a3 = d 9, 12, 15, a4  (15) = 3 a4 + 15 = 3 a4 = 3 15 a4 = 18 18,

  17. a1= 9 d= 3 a5  a4 = d 9, 12, 15, 18, a5  (18) = 3 a5 + 18 = 3 a5 = 3 18 a5 = 21 21…

  18. Chapter 5 Section 5.7 Exercise #23

  19. Write the first five terms of the geometric sequence when a1= 12, r= 2

  20. 12, a1= 12 r= 2

  21. a1= 12 r= 2 a2 = r a1 a2 = 2 12 a2 = 2 12 12, a1= 12 r= 2 = 24 24,

  22. a1= 12 r= 2 a3 = r a2 a3 = 2 24 a3 = 2 24 12, 24, a1= 12 r= 2 = 48 48,

  23. a1= 12 r= 2 a4 = r a3 a4 = 2 48 a4 = 2 48 12, 24, 48, a1= 12 r= 2 = 96 96,

  24. a1= 12 r= 2 a5 = r a4 a5 = 2 96 a4 = 2 96 12, 24, 48, 96, a1= 12 r= 2 = 192 192…

  25. Chapter 5 Section 5.7 Exercise #31

  26. Determine whether the sequence is an arithmetic sequence or a geometric sequence.

  27. 6, 2,2,6,10… 2  6 = 4 2  2 = 4 6 (2) = 4 10 (6) = 4 There is a common difference between successive terms so the sequence is arithmetic.

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