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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? 691, 635, 714, 658, 737,?
701
628
696
681
681
The series alternates between subtracting 56 and adding 79 repeatedly.
The series alternates between subtracting 56 and adding 79 repeatedly.
Analyze the series pattern
Calculate the differences between consecutive terms: 635 - 691 = -56, 714 - 635 = +79, 658 - 714 = -56, 737 - 658 = +79.
Apply the next operation
The pattern alternates between -56 and +79. Since the last operation was +79 (658 + 79 = 737), the next operation must be -56. Therefore, 737 - 56 = 681.
A: 701 is incorrect; B: 628 is incorrect; C: 696 is incorrect. Only 681 follows the -56, +79 alternating pattern.
D is correct because the series follows an alternating arithmetic pattern of subtracting 56 and adding 79, leading to 737 - 56 = 681.
For complex series, always write down the difference between consecutive numbers immediately, as it often reveals a hidden alternating or secondary pattern.