AandA_Sequence_and_Series_chapter (dragged).pdf - 3 Use an r value that is a factor of 64 For example r = 2 4 The series is 1 2 3 d-2 Exercise II 2 4 8

AandA_Sequence_and_Series_chapter (dragged).pdf - 3 Use an...

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r 3 Exercise 1J S* = 4920 820 6561 729 c r = 0.5 5 g -0.199 d d= 6 w = 48 5 48 = 70 56 e Wj = 4, w 2 = 8, d = 8 - 4 = 4 As 1000 is a multiple of 4, the largest multiple of 4 less than 999 would be 996. n = 249 S 249 = 124 500 f Wj = 2 w i=-4 r = -2 5 =42 o Not converging as r= 1.5. 3 4 « -* A 5 i = 2 l " r "l- -5 _2__ 1. 4 -5 _ 2 5 2 1 2 1 = ^ = _ 5 2 1 Not converging as r = 2 1 81 81 5,.. = x ----- 2 2 Not converging as r = 2 1 g r = 2 n-1 256 2 d = 4 S J0 = 2400 seats 3 The series is 1 + 2 + 4 + ... 5 =63 family members 5„ = 2 Any infinite geometric series where Irl < 1, r * 0 3 Any infinite geometric series where r < -1, r > 1 4 S M = 30 Total distance = 48 ft. 5 17892 000 gallons Exercise II 4 The series is 1 + 2 + 3 + ... d-2 S |2 = 78 But since there are two 12- hour cycles in a 24-hour day: 5,. = 78 x 2 = 156 chimes 24 5 The series is 5 + 9 + 13 + ... S 4S = 4752 line segments 3 Use an r value that is a factor of 64. For example, r = 2: 2, 4, 8, 16, 32,... Exercise 1G 1 r = 1.5 u u ~ 2306 ^ 268 435 456 2 = ------------------------------ 1 951 125 A' = 2 or x = -6 4 n = 9 5 r = 2 6 iv J0 = 303 students 7

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