Question
In each of the following number series, one term is
missing. Find the missing term. 5, 7, 12, 22, 39, 65, ?Solution
Differences: 7 − 5 = 2 12 − 7 = 5 22 − 12 = 10 39 − 22 = 17 65 − 39 = 26 Differences: 2, 5, 10, 17, 26 Now second differences: 5 − 2 = 3 10 − 5 = 5 17 − 10 = 7 26 − 17 = 9 Second differences: 3, 5, 7, 9 → consecutive odd numbers. Next second difference = 11 Next first difference = 26 + 11 = 37 Missing term = 65 + 37 = 102
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