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:
- Odd-position terms: 12, 18, 26, 36, ?
- Even-position terms: 6, 9, 13, 18
- The difference between consecutive terms:
18−12=618 - 12 = 618−12=6, 26−18=826 - 18 = 826−18=8, 36−26=1036 - 26 = 1036−26=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 = 39−6=3, 13−9=413 - 9 = 413−9=4, 18−13=518 - 13 = 518−13=5
The difference increases by 1 each time.
The sequence ends at 18, so no further calculation is needed here.