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Which of the following options should come in place of the question mark (?) in the given series? 12, 23, 35, 48, 62, ?
75
77
79
81
77
Observe the differences between consecutive terms: 11, 12, 13, 14... the next difference must be 15.
Observe the differences between consecutive terms: 11, 12, 13, 14... the next difference must be 15.
Analyze the pattern
Calculate the difference between consecutive numbers: 23 - 12 = 11, 35 - 23 = 12, 48 - 35 = 13, 62 - 48 = 14.
Apply the pattern
The differences are increasing by 1 each time (11, 12, 13, 14). Therefore, the next difference must be 15. Adding 15 to the last term: 62 + 15 = 77.
A: 75 is wrong because it corresponds to adding 13 instead of 15; C: 79 is wrong because it corresponds to adding 17; D: 81 is wrong because it corresponds to adding 19.
B is correct because the series follows a pattern of increasing differences (11, 12, 13, 14, 15), and 62 + 15 equals 77.
If the series grows slowly, always check the difference of differences; if the difference between terms is consistent, it's a simple arithmetic progression.
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