Question
Find the missing term: 2, 6, 15, 31, 56,
?Solution
Look at differences: 6 − 2 = 4 = 2² 15 − 6 = 9 = 3² 31 − 15 = 16 = 4² 56 − 31 = 25 = 5² Differences are squares of 2, 3, 4, 5, … Next difference = 6² = 36 Missing term = 56 + 36 = 92.
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