A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
2, 3, 5, 9, 17, ?
- A31
- B32
- C33
- D34
Solution & Step-by-step Explanation
Let's compute the difference between successive terms of the series:
3−2=1
5−3=2
9−5=4
17−9=8
The differences are doubling each step: 1,2,4,8,…
The next difference should be 8×2=16.
Therefore, the missing term is:
17+16=33
3−2=1
5−3=2
9−5=4
17−9=8
The differences are doubling each step: 1,2,4,8,…
The next difference should be 8×2=16.
Therefore, the missing term is:
17+16=33