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What should come in place of the question mark (?) in the given series? 4, 10, 28, 82, 244, ?
730
698
680
714
730
Observe that each number is roughly 3 times the previous number plus a decreasing constant or a specific pattern of multiplying by 3 and subtracting 2: (Term * 3) - 2.
Observe that each number is roughly 3 times the previous number plus a decreasing constant or a specific pattern of multiplying by 3 and subtracting 2: (Term * 3) - 2.
Analyze the relationship between terms
Calculate the difference or multiplier: 4 * 3 = 12, 12 - 2 = 10; 10 * 3 = 30, 30 - 2 = 28; 28 * 3 = 84, 84 - 2 = 82; 82 * 3 = 246, 246 - 2 = 244.
Apply the pattern to find the missing term
Following the verified logic (Previous term * 3 - 2), multiply the last term 244 by 3: 244 * 3 = 732. Then subtract 2: 732 - 2 = 730.
B: 698 is the result of incorrect arithmetic logic; C: 680 does not fit the (3x-2) multiplier sequence; D: 714 is derived from a different, invalid arithmetic progression.
A is correct because the series follows a consistent mathematical rule of multiplying the previous term by 3 and subtracting 2 to obtain the next term.
When terms in a series increase rapidly, test multiplication followed by addition or subtraction immediately; this is faster than calculating differences between terms.