Correct option is D
Given: 4, 6, 10, 18, 34, ?
Logic: The differences between consecutive terms are doubling each time:2, 4, 8, 16.
Check the difference between consecutive terms:
6 - 4 = 2
10 - 6 = 4
18 - 10 = 8
34 - 18 = 16
The next difference should be 32 (double of 16).
Add this difference to the last number in the series:
34 + 32 = 66
So, the next number in the series is 66
Thus, the correct option is (d) 66.