What should come in place of ‘?’ in the given series? 1 8 17 28 41 ?
56
Find the differences between consecutive terms: 8 – 1 = 7, 17 – 8 = 9, 28 – 17 = 11, 41 – 28 = 13.
The differences 7, 9, 11, 13 are consecutive odd numbers, each 2 more than the previous one, so the next difference is 13 + 2 = 15.
Therefore the missing term = 41 + 15 = 56.
Check: the series 1, 8, 17, 28, 41, 56 has differences 7, 9, 11, 13, 15 and second differences all equal to 2; also each term is n² + 4n – 4 for n = 1, 2, …, 6 (for n = 6: 36 + 24 – 4 = 56).
Hence, 56.
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What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
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What should come in place of the question mark ‘?’ in the following number series?
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A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
