Correct option is A
The given series:
3, 7, 6, 14, 12, 28, 24, ?
Odd positions (1st, 3rd, 5th, 7th): 3, 6, 12, 24
Even positions (2nd, 4th, 6th, 8th): 7, 14, 28, ?
Analyze the odd-positioned terms:
3 → 6 → 12 → 24
This is a multiplication pattern:
3 × 2 = 6
6 × 2 = 12
12 × 2 = 24
The pattern, the next term would be: 24 × 2 = 48 (but that would be the next odd position, so we just note the pattern is multiplying by 2)
Analyze the even-positioned terms:
7 → 14 → 28 → ?
Here, it's also a pattern of multiplying by 2: 7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
So, the missing number is:56
Correct answer: A) 56