Correct option is B
Given series: 2, 4, 3, 3, 9, 6, 4, 16, ?, 5, 25, 15
Logic Analysis:
First Pattern (Squares Logic):
The 2nd term is the square of the 1st term: 22 = 4
The 5th term is the square of the 4th term: 32 = 9
The 8th term is the square of the 7th term: 42 = 16
The 11th term is the square of the 10th term: 52 = 25
Second Pattern (Incremental Addition):
3rd term: 3
6th term: 6 = (3 + 3)
9th term: ? = (6 + 4)
12th term: 15 = (10 + 5)
Using this pattern:
For the 9th term, add 4 to the previous term in this series (6):
6 + 4 = 10
Therefore, the missing term (9th term) is 10.
Correct answer: (b) 10