Correct option is B
Given: 2, 5, 9, 19, 37, (…)
2 to 5: 2×2+1=5
5 to 9: 5×1+4=9
9 to 19: 9×2+1=19
19 to 37: 19×2−1=37
It seems there is a pattern involving multiplication and addition/subtraction:
Continuing the pattern from 37:
To find the next number:
Following the pattern, we can apply
37×2+1=75.
So, the next number in the series is 75.
The correct answer is (b) 75.