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AQA GCSE · Question 01.1 · Number
A linear sequence starts: 4, 7, 10, 13. Write down the next number in this sequence.
A linear sequence starts: 4, 7, 10, 13. Write down the next number in this sequence.
How to approach this question
1. Identify the pattern in the sequence by finding the difference between consecutive terms.
2. Calculate 7 - 4.
3. Calculate 10 - 7.
4. Calculate 13 - 10.
5. Confirm the common difference.
6. Add the common difference to the last term (13) to find the next number.
Full Answer
16
This is an arithmetic (or linear) sequence. To find the pattern, we find the difference between consecutive terms.
7 - 4 = 3
10 - 7 = 3
13 - 10 = 3
The common difference is +3. To find the next term, we add 3 to the last term:
13 + 3 = 16.
The next number in the sequence is 16.
Common mistakes
✗ Miscalculating the common difference.
✗ Subtracting instead of adding the difference to find the next term.
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