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What should come in place of the question mark (?) in the given series? 18 49 18 45 18 41 18 ?
31
34
37
29
37
Observe the alternating series: 18 remains constant at odd positions, while the numbers at even positions decrease by 4 (49, 45, 41, ...).
Observe the alternating series: 18 remains constant at odd positions, while the numbers at even positions decrease by 4 (49, 45, 41, ...).
Analyze the pattern structure
The series is 18, 49, 18, 45, 18, 41, 18, ?. This is an alternating series consisting of two interleaved patterns.
Identify odd-position pattern
The terms at odd positions (1st, 3rd, 5th, 7th) are all 18. This remains constant throughout the series.
Identify even-position pattern
The terms at even positions (2nd, 4th, 6th) are 49, 45, 41. There is a constant decrement of 4 between consecutive terms (49 - 4 = 45; 45 - 4 = 41).
Calculate the missing term
The next term in the even-position sequence follows 41. Applying the decrement: 41 - 4 = 37.
A: 31 is incorrect as it implies a different decrement pattern. B: 34 is incorrect as it implies a larger subtraction. D: 29 is incorrect as it does not follow the -4 arithmetic sequence starting from 41.
C is correct because the even-positioned numbers form an arithmetic progression (49, 45, 41) with a common difference of -4, making the next even-positioned term 37.
In any series problem, always check if the terms are repeating or constant at specific intervals; if so, split the series into two or three separate sequences.
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