ExpertEasy1 markShort Answer
AQA GCSE · Question 01.3 · Number
Here is another sequence: 3, 6, 12, 24. Write down the term-to-term rule for this sequence.
Here is another sequence: 3, 6, 12, 24. Write down the term-to-term rule for this sequence.
How to approach this question
1. Check if there is a common difference (addition/subtraction). 6 - 3 = 3, but 12 - 6 = 6. It is not a linear sequence.
2. Check if there is a common ratio (multiplication/division).
3. Calculate 6 ÷ 3.
4. Calculate 12 ÷ 6.
5. Calculate 24 ÷ 12.
6. State the rule based on the common ratio.
Full Answer
Multiply by 2
This is a geometric sequence. We look for a common ratio by dividing a term by the one before it.
6 ÷ 3 = 2
12 ÷ 6 = 2
24 ÷ 12 = 2
The common ratio is 2. This means to get from one term to the next, you multiply by 2.
The term-to-term rule is "Multiply by 2".
Common mistakes
✗ Stating the rule as "add 3" based only on the first two terms.
✗ Confusing term-to-term rule with the nth term rule.
Practice the full AQA GCSE Maths Foundation Tier Paper 2 Calculator
45 questions · hints · full answers · grading
More questions from this exam
Q01.1A linear sequence starts: 4, 7, 10, 13. Write down the next number in this sequence.EasyQ01.2A different linear sequence starts: 19, 14, 9, 4. Write down the next number in this sequence.EasyQ02.1Here is a price list. Work out the cost of three candles.EasyQ02.2Sal has £7.50. He wants to buy one soap and one body cream. Does he have enough money to also buy...EasyQ03.1Solve 5x = 30Easy