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The number in place of the question mark (?) in the given number series, is : 12, 6, 18, 9, 26, 13, 36, 18, ?
Question

The number in place of the question mark (?) in the given number series, is :
12, 6, 18, 9, 26, 13, 36, 18, ?

A.

48

B.

21

C.

46

D.

60

Correct option is A

Identify the pattern

The series alternates between two sequences:

Sequence 1 (Odd-position terms):

12 → 18 → 26 → 36 → ?

Sequence 2 (Even-position terms):

6 → 9 → 13 → 18

Step 2: Combine the series

The missing term is the next odd-position term: 48.

Final Answer:

  1. Odd-position terms: 12, 18, 26, 36, ?
  2. Even-position terms: 6, 9, 13, 18
  • The difference between consecutive terms:
    18−12=618 - 12 = 61812=6, 26−18=826 - 18 = 82618=8, 36−26=1036 - 26 = 103626=10
    The difference increases by 2 each time.
    The next difference will be 10+2=1210 + 2 = 1210+2=12.
    So, the next term is 36+12=4836 + 12 = 4836+12=48.
  • The difference between consecutive terms:
    9−6=39 - 6 = 396=3, 13−9=413 - 9 = 4139=4, 18−13=518 - 13 = 51813=5
    The difference increases by 1 each time.
    The sequence ends at 18, so no further calculation is needed here.

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