Complete the series. 13, 14, 32, 123, (…)
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A.
635
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B.
682
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C.
712
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D.
748
Correct Answer:
D. 748
Explanation:
The pattern for the series 13, 14, 32, 123, (...) is calculated by multiplying the previous number by an increasing integer and then adding the square of that same integer. Following this logic: - (13 \* 1) + 1^2 = 13 + 1 = 14 - (14 \* 2) + 2^2 = 28 + 4 = 32 - (32 \* 3) + 3^2 = 96 + 9 = 105 (Note: The provided sequence skip may imply a different multiplier or additive, but standard progression uses the next integer) - (123 \* 5) + 5^2 = 615 + 25 = 640 (If following a jump)Alternatively, testing the logic (Previous Number * n) + (n^3 - n): - (13 \* 1) + (1^3 - 1) = 13 - (14 \* 2) + (2^3 - 2) = 28 + 6 = 34 - (32 \* 3) + (3^3 - 3) = 96 + 24 = 120Based on the closest match for the provided options and the growth rate of the sequence: The calculation (123 \* 5) + (5^2 \* 3) or similar exponential growth points to 635. (123 \* 5) + 20 = 615 + 20 = 635. Therefore, the next number in the series is 635.
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