Question
There are three series given below which are following
with the same pattern. Series I: 21, 44, 135, 544, 2725 Series II: 14, B, C, D, E Series III: F, G, H, I, J Also, H = D/4 - 19, Find the product of G & I.Solution
Series I: 21 × 2 + 2 = 44 44 × 3 + 3 = 135 135 × 4 + 4 = 544 544 × 5 + 5 = 2725 Series II: 14 × 2 + 2 = 30 (B) 30 × 3 + 3 = 93 (C) 93 × 4 + 4 = 376 (D) 376 × 5 + 5 = 1885 (E) Series III: F × 2 + 2 = G G × 3 + 3 = H H × 4 + 4 = I I × 5 + 5 = J And, H = D/4 - 19 H = (376/4) - 19 H = 75 Now we can find the value of G, G × 3 + 3 = H G × 3 + 3 = 75 G = 24 Also, we can find the value of I, H × 4 + 4 = I 75 × 4 + 4 = I I = 304 The product of G & I = (24 × 304) = 7296
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