Below are series I and II such that the logic followed in series II is the same as the logic followed in series I. Series I: 60, 120, 24, 48, 9.6, 19.2 Series II: 100, W, X, Y, Z, 32 If a series III is formed that follows the same logic as series I and its first term is $W - X$, find the

Question

Below are series I and II such that the logic followed in series II is the same as the logic followed in series I. Series I: 60, 120, 24, 48, 9.6, 19.2 Series II: 100, W, X, Y, Z, 32 If a series III is formed that follows the same logic as series I and its first term is $W - X$, find the third term of series III.

Accepted Answer

64. In Series I, the terms follow the pattern $\times 2, \div 5, \times 2, \div 5, \times 2$: 60 → 120 → 24 → 48 → 9.6 → 19.2. Applying the same logic to Series II gives 100 → 200 → 40 → 80 → 16 → 32, so $W=200$ and $X=40$. Thus the first term of Series III is $W-X=160$, and following the same pattern the third term is $160 \div 5 = 32$? Wait, the series alternates from term 1 to 2 by $\times 2$, then 2 to 3 by $\div 5$. So Series III becomes 160, 320, 64, 128, 25.6, 51.2, making the third term 64.

Solution

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