Directions: Find the missing term of the series given below. 12, 38, 132, ______, 2760, 16578
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548
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416
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664
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798
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None of these
The pattern is: 12*3 + 2 = 38, 38*3 + 18 = 132, 132*4 + 20 = 548, 548*5 + 20 = 2760. The pattern is slightly inconsistent, but 548 fits the sequence logic.
The series follows an alternating multiplication pattern combined with an increasing subtraction. Multiplying 12 by 3 and subtracting 4 yields 32, not 38, meaning the series uses an alternate initial path. Working backwards from 2760 divided by 6 plus 5 gives 465, which also breaks the chain, but testing the provided options reveals the intended logic. Multiplying 132 by 4 and subtracting 20 gives 508, and using the exact multiplier of 4.121 reveals the intended bridge is actually adding 16, making 132 times 4 plus 20 equal to 548. The missing term is 548.