A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
2, 3, 7, 16, ?
- A21
- B30
- C32
- D23
Solution & Step-by-step Explanation
Let's calculate the difference between consecutive terms in the series:
3−2=1=1
2
7−3=4=2
2
16−7=9=3
2
The differences between successive terms are consecutive perfect squares (1
2
,2
2
,3
2
). Following this sequence, the next difference should be 4
2
=16.
Missing term=16+16=32
3−2=1=1
2
7−3=4=2
2
16−7=9=3
2
The differences between successive terms are consecutive perfect squares (1
2
,2
2
,3
2
). Following this sequence, the next difference should be 4
2
=16.
Missing term=16+16=32