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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 194,249,199,244,204,?
239
219
224
234
239
Observe the alternating series: the numbers at odd positions increase by 5 (194, 199, 204), and the numbers at even positions decrease by 5 (249, 244, 239).
Observe the alternating series: the numbers at odd positions increase by 5 (194, 199, 204), and the numbers at even positions decrease by 5 (249, 244, 239).
Analyze the series pattern
The series consists of two alternating patterns. The terms at odd positions (1st, 3rd, 5th) are: 194, 199, 204. These are increasing by 5 (194 + 5 = 199; 199 + 5 = 204).
Identify the second pattern
The terms at even positions (2nd, 4th) are: 249, 244. These are decreasing by 5 (249 - 5 = 244).
Determine the missing term
The missing term is at the 6th position (an even position). Following the alternating pattern of the even positions, the next number should be 244 - 5 = 239.
B: 219 does not follow the -5 pattern; C: 224 does not follow the -5 pattern; D: 234 is incorrect as it results from a -10 reduction, not -5.
A is correct because the series alternates between adding 5 to odd positions and subtracting 5 from even positions, resulting in 244 - 5 = 239.
When a series looks like it is oscillating or has two seemingly different trends, always split it into two separate sub-series (odd-positioned terms and even-positioned terms).
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