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AQA GCSE · Question 01.2 · Number
A different linear sequence starts: 19, 14, 9, 4. Write down the next number in this sequence.
A different linear sequence starts: 19, 14, 9, 4. 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 14 - 19.
3. Calculate 9 - 14.
4. Calculate 4 - 9.
5. Confirm the common difference.
6. Add the common difference to the last term (4) to find the next number.
Full Answer
-1
This is another arithmetic sequence. We find the difference between consecutive terms:
14 - 19 = -5
9 - 14 = -5
4 - 9 = -5
The common difference is -5. To find the next term, we subtract 5 from the last term:
4 - 5 = -1.
The next number in the sequence is -1.
Common mistakes
✗ Incorrectly subtracting and getting 1 instead of -1.
✗ Adding 5 instead of subtracting.
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