Question
Which of the following numbers will replace the
question mark (?) in the given series? 10, 17, 43, [?], 509, 1839Solution
The series progresses by adding the cube of consecutive prime numbers and then subtracting 1 from that cube. 10 + 2³ - 1 = 10 + (8 - 1) = 10 + 7 = 17 17 + (3³ - 1) = 17 + (27 - 1) = 17 + 26 = 43 43 + (5³ - 1) = 43 + (125 - 1) = 43 + 124 = 167 167 + (7³ - 1) = 167 + (343 - 1) = 167 + 342 = 509 509 + (11³ - 1) = 509 + (1331 - 1) = 509 + 1330 = 1839
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