GATE CS 2024 Set 2 — Question 5
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General Aptitude → Quantitative Aptitude → Series
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Question
In the sequence 6, 9, 14, , 30, 41, a possible value of is
Correct answer
(B) 21
Solution
Let's analyze the differences between consecutive terms in the sequence:
The differences are increasing odd numbers: 3, 5, ...
Assuming the pattern continues with the next odd numbers 7, 9, 11:
(Matches)
(Matches)The sequence of differences is 3, 5, 7, 9, 11.
Thus, .
The differences are increasing odd numbers: 3, 5, ...
Assuming the pattern continues with the next odd numbers 7, 9, 11:
(Matches)
(Matches)The sequence of differences is 3, 5, 7, 9, 11.
Thus, .
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