Correct option is D
Given:
8, 9, 13, 22, (?)
Logic: Add consecutive perfect squares: 12,22,32,421^2, 2^2, 3^2, 4^2... to each term.(+1,+4,+9,+16)
Let's Check:
8 + 1 = 9
9 + 4 = 13
13 + 9 = 22
22 + 16 = 38
So, the next differences should be: 42 = 16.
Therefore, the missing term in the series should be 22 + 16 = 38.
Thus, the correct option is: (d)