Question
Find the wrong number in the given number series.
7, 12, 19, 28, 39, 53, 67Solution
Find the consecutive differences: 12 − 7 = 5 19 − 12 = 7 28 − 19 = 9 39 − 28 = 11 53 − 39 = 14 67 − 53 = 14 We can see the intended pattern in differences is an arithmetic progression of odd numbers: 5, 7, 9, 11, 13, 15 So the correct differences should be: 7 → 12 (+5) 12 → 19 (+7) 19 → 28 (+9) 28 → 39 (+11) 39 → 52 (+13) 52 → 67 (+15) Thus, the correct series should be: 7, 12, 19, 28, 39, 52, 67 Instead of 52, we have 53. So 53 is the wrong number.
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