Question Details

What should come in place of '?' in the given series?
3 8 6 11 9 14 ?

Options

A

12

B

16

C

17

D

15

Show Answer

Correct Answer :

Option A

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 (3+5=8)

From 8 to 6: Subtract 2 (8-2=6)

From 6 to 11: Add 5 (6+5=11)

From 11 to 9: Subtract 2 (11-2=9)

From 9 to 14: Add 5 (9+5=14)


Following this alternating pattern (+5, -2, +5, -2, +5, ...), the next operation to get the missing term '?' must be to subtract 2 from 14:

14-2=12


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: 3+3=6, 6+3=9, so the 7th term is 9+3=12.

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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