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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? 681, 607, 533, 459, 385,?
354
329
311
345
311
Observe the constant difference between consecutive numbers by subtracting any two adjacent terms (e.g., 681 - 607 = 74).
Observe the constant difference between consecutive numbers by subtracting any two adjacent terms (e.g., 681 - 607 = 74).
Analyze the series
Calculate the difference between consecutive terms: 681 - 607 = 74, 607 - 533 = 74, 533 - 459 = 74, 459 - 385 = 74.
Determine the next term
The pattern is a constant subtraction of 74. Thus, the next term is 385 - 74 = 311.
A: 354 is incorrect as it results from subtracting 31 instead of 74; B: 329 is incorrect as it results from subtracting 56; D: 345 is incorrect as it results from subtracting 40.
C is correct because the series follows a pattern of subtracting 74 from each previous term, and 385 minus 74 equals 311.
In numeric series, if the numbers are decreasing steadily, always find the difference between the first two terms immediately; if it is constant, you have found the rule.