Select the numbers from among the given options that can replace the question marks (?) in the following series.
1, 2, 4, ?, 11, ?, 22
- A8, 20
- B7, 16
- C5, 17
- D6, 18
Solution & Step-by-step Explanation
Let's check the differences between consecutive terms in the series:
2−1=1
4−2=2
Following this increasing difference pattern (+1,+2,+3,+4,+5,+6):
Next difference should be +3:
4+3=7
Next difference should be +4:
7+4=11
(This matches the given term 11)
Next difference should be +5:
11+5=16
Next difference should be +6:
16+6=22
(This matches the given term 22)
The missing terms are 7 and 16.
2−1=1
4−2=2
Following this increasing difference pattern (+1,+2,+3,+4,+5,+6):
Next difference should be +3:
4+3=7
Next difference should be +4:
7+4=11
(This matches the given term 11)
Next difference should be +5:
11+5=16
Next difference should be +6:
16+6=22
(This matches the given term 22)
The missing terms are 7 and 16.