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What is the missing number in 5, 14, 42, 107, 233, ?

Correct Answer: 450

Explanation:

Given Series is 5, 14, 42, 107, 233, _?


5, 14, 42, 107, 233, _?


Differences is 9, 28, 65, 126


9 = 2^3 + 1


28 = 3^3 + 1


65 = 4^3 + 1


126 = 5^3 + 1


Now, next difference must be 6^3 + 1 = 217


Hence, next number in the given series = 233 + 217 = 450.


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