Question
You are provided with three
sequences below. Determine the values of P, Q, and R, and then identify the relationship among them. 210, P, 233, 64, 260, 35 Q, 66, 110, 170, 254, 370 42, 54, 74, R, 146, 202Solution
ATQ, Series I, 210 - 112 = 89 89 + 122 = 233 233 - 132 = 64 64 + 142 = 260 260 - 152 = 35 P = 89 Series II, 66 - 30 = 36 110 - 66 = 44 (36 + 8) 170 - 110 = 60 (44 + 16) 254 - 170 = 84 (60 + 24) 370 - 254 = 116 (84 + 32) Q = 30 Series III, 42 + 3 × 4 = 54 54 + 4 × 5 = 74 74 + 5 × 6 = 104 104 + 6 × 7 = 146 146 + 7 × 8 = 202 R = 104 89 + 30 = 119 = 104 + 15 P + Q = R + 15
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