Mathematics

Grade9

Easy

Question

# Find a pattern for the sequence. Use the pattern to find the next three terms in the sequence.

2, 4, 7, 11,...

- 15, 19 and 23
- 15, 17 and 19
- 16, 21 and 27
- 16, 22 and 29

Hint:

### In first case difference =4-2=2

In second case difference=7-4=3

In third case difference=11-7=4

The difference is as follows in eac case 2 , 3 , 4

So next differences will be 5, 6, 7

So next numbers are 11+5=16

16+6=22

22+7=29

The numbers are 16, 22, 29

## The correct answer is: 16, 22 and 29

### The given sequence is 2, 4, 7, 11

To find the next three terms we can observe that there is a constant increase by 1 in the difference between two digits. So we can use this method.

In this question first we found how the pattern is there and we observed it is based on the difference so we found difference in each case and obtained the continuing terms of the series.

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