Select the correct option that will complete the series.
(4, 2), (9, 3), (16, 5), (25, 7), ?, (49, 13)
Show answer & explanation
Correct answer: C
Explanation
Given Series: (4, 2), (9, 3), (16, 5), (25, 7), ?, (49, 13)
Pattern in the first numbers of each pair:
The first numbers are: 4, 9, 16, 25, ?, 49
These are perfect squares:
4=22
9=32
16=42
25=52
Next should be
62=36
Then 49=72
So, the missing first number is 36.
Pattern in the second numbers of each pair:
The second numbers are: 2, 3, 5, 7, ?, 13
These are prime numbers in sequence: 2, 3, 5, 7, 11, 13
So, the missing second number is 11.
Therefore, the missing pair is: (36, 11)
Hence, the correct answer is option (3).