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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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**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) the twelfth term an = a1 + (n 1)d a12 = 5+ (12 1)(8) = 5+ (11)(8) = 5+ 88 = 93**5, 13, 21, 29, 37…**d) the sum of the first 12 terms + = + = = = 588**Chapter 5**Section 5.7 Exercise #9**Find each.**the first term the common ratio the twelfth term the sum of the first 12 terms**4, 12, 36, 108, 324…**a) the first term b) the common ratio 4 = 3**4, 12, 36, 108, 324…**c) the twelfth term an = a1rn 1 a12 = 4(3)12 1 = 4(311) = 708,588**4, 12, 36, 108, 324…**d) the sum of the first 12 terms = = = = 1,062,880**Chapter 5**Section 5.7 Exercise #19**Write the first five terms of the arithmetic sequence when**a1= 9, d= 3**9,**a1= 9 d= 3**a1= 9**d= 3 9, a2 a1 = d a2 (9) = 3 a2 + 9 = 3 a2 = 3 9 a2 = 12 12,**a1= 9**d= 3 a3 a2 = d 9, 12, a3 (12) = 3 a2 + 12 = 3 a2 = 3 12 a2 = 15 15,**a1= 9**d= 3 a4 a3 = d 9, 12, 15, a4 (15) = 3 a4 + 15 = 3 a4 = 3 15 a4 = 18 18,**a1= 9**d= 3 a5 a4 = d 9, 12, 15, 18, a5 (18) = 3 a5 + 18 = 3 a5 = 3 18 a5 = 21 21…**Chapter 5**Section 5.7 Exercise #23**Write the first five terms of the geometric sequence when**a1= 12, r= 2**12,**a1= 12 r= 2**a1= 12**r= 2 a2 = r a1 a2 = 2 12 a2 = 2 12 12, a1= 12 r= 2 = 24 24,**a1= 12**r= 2 a3 = r a2 a3 = 2 24 a3 = 2 24 12, 24, a1= 12 r= 2 = 48 48,**a1= 12**r= 2 a4 = r a3 a4 = 2 48 a4 = 2 48 12, 24, 48, a1= 12 r= 2 = 96 96,**a1= 12**r= 2 a5 = r a4 a5 = 2 96 a4 = 2 96 12, 24, 48, 96, a1= 12 r= 2 = 192 192…**Chapter 5**Section 5.7 Exercise #31**Determine whether the sequence is an arithmetic sequence or**a geometric sequence.**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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