What should come in place of '?' in the given series?
3 8 6 11 9 14 ?
Correct Answer :
12
Solution :
The correct answer is Option 1 (12).
To find the missing number in the given series, let us analyze the pattern or rule governing the sequence of numbers:
3, 8, 6, 11, 9, 14, ?
We can observe the step-by-step operations applied to get each consecutive term:
From 3 to 8: Add 5 ()
From 8 to 6: Subtract 2 ()
From 6 to 11: Add 5 ()
From 11 to 9: Subtract 2 ()
From 9 to 14: Add 5 ()
Following this alternating pattern (+5, -2, +5, -2, +5, ...), the next operation to get the missing term '?' must be to subtract 2 from 14:
Alternatively, we can look at the series as two alternating sub-series:
First sub-series (1st, 3rd, 5th, 7th terms): 3, 6, 9, ?
Here, each term increases by 3: , , so the 7th term is .
Second sub-series (2nd, 4th, 6th terms): 8, 11, 14 (each term increases by 3).
Therefore, the number that comes in place of '?' is 12.
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