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Question

What should come in place of ‘?’ in the given series?

29, 32, 38, 47, 59 ?

The correct answer is

74

Find the differences between consecutive terms: 32 – 29 = 3, 38 – 32 = 6, 47 – 38 = 9 and 59 – 47 = 12.

The differences 3, 6, 9, 12 are consecutive multiples of 3, so the next difference is 12 + 3 = 15.

Therefore the missing term is 59 + 15 = 74.

Check: 29 + 3 = 32, 32 + 6 = 38, 38 + 9 = 47, 47 + 12 = 59 and 59 + 15 = 74, so the differences 3, 6, 9, 12, 15 increase steadily by 3 throughout.

Hence, 74.

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