Question
You are provided with three
sequences below. Determine the values of P, Q, and R, and then identify the relationship among them. (i) 4, 10, 32, 130, (6P + 4) (ii) 47, 119, 167, 287, (5Q + 4) (iii) 300, 150, 225, 7.5R, 1968.75Solution
ATQ, Series (i), 4 × 2 + 2 = 10 10 × 3 + 2 = 32 32 × 4 + 2 = 130 6P + 4 = 130 6P = 126 P = 21 Series (ii), 72 - 2 = 47 112- 2 = 119 132- 2 = 167 172- 2 = 287 192- 2 = 359 5Q + 4 = 359 5Q = 355 Q = 71 Series (iii), 300 × 0.5 = 150 150 × 1.5 = 225 225 × 2.5 = 562.5 562.5 × 3.5 = 1968.75 7.5R = 562.5 R = 75 P < Q < R
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