What should come in place of ‘?’ in the given series? 11 13 20 22 29 31 ?
38
Find the differences between consecutive terms of the series 11, 13, 20, 22, 29, 31.
13 – 11 = 2, 20 – 13 = 7, 22 – 20 = 2, 29 – 22 = 7, 31 – 29 = 2. So the differences alternate +2, +7, +2, +7, +2.
The next difference must be +7, so the missing term = 31 + 7 = 38.
Check: the complete series is 11, 13, 20, 22, 29, 31, 38 with differences 2, 7, 2, 7, 2, 7, which keeps the alternating pattern unbroken.
Hence, 38.
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