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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 17, 20, 26, 35, 47,?
63
60
64
62
62
Calculate the difference between consecutive terms; the differences themselves form a sequence of prime numbers starting from 3 (3, 6, 9, 12... wait, no, it is addition of 3, 6, 9, 12, 15).
Calculate the difference between consecutive terms; the differences themselves form a sequence of prime numbers starting from 3 (3, 6, 9, 12... wait, no, it is addition of 3, 6, 9, 12, 15).
Analyze the difference
Calculate the difference between consecutive numbers: 20-17=3, 26-20=6, 35-26=9, 47-35=12.
Identify the pattern
The differences are 3, 6, 9, 12, which are multiples of 3. The next difference in this sequence must be 12 + 3 = 15.
Calculate the final term
Add 15 to the last given term: 47 + 15 = 62.
A: 63 is incorrect as the pattern requires adding 15 to 47. B: 60 is incorrect because it implies adding only 13. C: 64 is incorrect as it implies adding 17.
D is correct because the series follows a pattern of adding successive multiples of 3 (3, 6, 9, 12), and the final step is 47 + 15 = 62.
In any number series, if the gap grows uniformly, checking for simple additive differences (AP) is the fastest way to find the rule.
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