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1 mark

Select the numbers from among the given options that can replace the question marks (?) in the following series.
1, 2, 4, ?, 11, ?, 22

  1. A
    8, 20
  2. B
    7, 16
  3. C
    5, 17
  4. D
    6, 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.

Practice this question

Try it yourself before checking the explanation above.

Select the numbers from among the given options that can replace the question marks (?) in the following series.
1, 2, 4, ?, 11, ?, 22
A
8, 20
B
7, 16
C
5, 17
D
6, 18

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