Computer Sciences > GATE 2024 SET-2 > Sequence and Series
In the sequence 6, 9, 14, x, 30, 41, a possible value of x is
Correct : b
Explanation:
Let us look at the differences between consecutive terms in the sequence to identify the underlying pattern:
• 1st term to 2nd term: 9 - 6 = 3
• 2nd term to 3rd term: 14 - 9 = 5
The difference increases by 2 each time, indicating a sequence of consecutive odd numbers (+3, +5, +7, +9, +11). Let's test this pattern to find the value of x:
• 3rd term to 4th term (x): 14 + 7 = 21
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