Question
You are provided with three
sequences below. Determine the values of P, Q, and R, and then identify the relationship among them. (i) 317, 293, 245, (6P + 5), 77, - 43 (ii) 99, 102.5, 109.5, 6Q, 134, 151.5 (iii) 17, 26, 44, 98, (8R - 6), 1394Solution
ATQ, Series (i), 317 - 24 × 1 = 293 293 - 24 × 2 = 245 245 - 24 × 3 = 173 173 - 24 × 4 = 77 77 - 24 × 5 = - 43 6P + 5 = 77 6P = 72 P = 12 Series (ii), 99 + 3.5 × 1 = 102.5 102.5 + 3.5 × 2 = 109.5 109.5 + 3.5 × 3 = 120 120 + 3.5 × 4 = 134 134 + 3.5 × 5 = 151.4 6Q = 120 Q = 20 Series (iii), 17 + 9 × 1! = 26 26 + 9 × 2! = 44 44 + 9 × 3! = 98 98 + 9 × 4! = 314 314 + 9 × 5! = 1394 8R - 6 = 314 8R = 320 R = 40 = > P < Q < R
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