Answer:
The correct answer would be 33.
Step-by-step explanation:
This is the type of question which is normally called as the series questions. In such questions, there is always a relation of the current number with the next or previous number. This is how the next number is determined.
Like in this given series, we can see that the series is formed by adding 2 in 3 at the first step, which results in 5. Now again 2 will be added in the previous 2 which will give 4, that will be added in 5, which will give 9, then again 2 will be added in 4 which will give 6, that would be added in 9, which will result in 15, then again 2 will be added in 6 which will give 8 and will be added to 15 will give 23. Now 2 will be added to 8, which will give 10, and this will be added to 23, which will eventually give 33, as shown below:
3,5,9,15,23,?
3, 5(3+2),9,15,23,?
3, 5, 9(5+4),15,23,?
3,5,9,15(9+6),23,?
3,5,9,15,23(15+8),?
3,5,9,15,23,33(23+10)
In this way, the series are completed.
