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What should come in place of the question mark (?) in the given series. 6, 3, 12, 6, 24, ?, 48, 24, 96
6
12
24
48
12
Observe the alternating pattern where every odd term is a multiplication by 2, and every even term is division by 2, or simply look at the series as pairs (6, 3), (12, 6), (24, ?), (48, 24), (96, ...).
Observe the alternating pattern where every odd term is a multiplication by 2, and every even term is division by 2, or simply look at the series as pairs (6, 3), (12, 6), (24, ?), (48, 24), (96, ...).
Analyze the series structure
The series is 6, 3, 12, 6, 24, ?, 48, 24, 96. Group the terms into pairs: (6, 3), (12, 6), (24, ?), (48, 24), (96, ...).
Identify the pattern within pairs
In every pair, the second number is exactly half of the first number. 6/2 = 3; 12/2 = 6; 24/2 = 12; 48/2 = 24; 96/2 = 48.
Calculate the missing term
The missing term (?) is part of the third pair (24, ?). Following the rule (24 / 2 = 12), the value for ? is 12.
A: 6 is the result of the second pair, not the third. C: 24 is the first term of the third pair, not the second. D: 48 is the result of the division in the fourth pair (96/2), not the third.
B is correct because the series follows a consistent logic where each pair of numbers (x, y) satisfies the relation y = x/2, making the second term of the (24, ?) pair equal to 12.
When a series has numbers fluctuating between decreasing and increasing, always check if it is an alternating series or a grouped pair pattern.
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