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AQA GCSE · Question 03.2 · Number
The first three terms of a linear sequence are 5, 11, 17.
Describe the term-to-term rule.
The first three terms of a linear sequence are 5, 11, 17.
Describe the term-to-term rule.
How to approach this question
1. Look at the sequence: 5, 11, 17.
2. Calculate the difference between consecutive terms (e.g., 11 - 5).
3. Describe this operation. For example, "add [the difference]".
Full Answer
Add 6
The term-to-term rule explains the operation you perform to get from any term to the next term in the sequence.
In the sequence 5, 11, 17:
- To get from 5 to 11, you add 6 (5 + 6 = 11).
- To get from 11 to 17, you add 6 (11 + 6 = 17).
The rule is consistent. Therefore, the term-to-term rule is "Add 6".
Common mistakes
✗ Just writing the number "6" without the operation "Add".
✗ Giving the nth term rule instead of the term-to-term rule.
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