Worked Example 2: Different Sequence Types
Part of Sequences · GCSE GCSE Mathematics revision
This study notes covers Worked Example 2: Different Sequence Types within Sequences for GCSE Mathematics. Revise Sequences in Algebra for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 5 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 5 of 7
Practice
14 questions
Recall
12 flashcards
Worked Example 2: Different Sequence Types
Identify the type of sequence: 3, 6, 12, 24, 48, ...
Step 1 Check differences
6 − 3 = 3
12 − 6 = 6
24 − 12 = 12
Differences are not constant
Step 2 Check ratios
6 ÷ 3 = 2
12 ÷ 6 = 2
24 ÷ 12 = 2
Common ratio = 2
Step 3 Identify type
This is a geometric sequence (multiply by 2)
Next term: 48 × 2 = 96
Keep building this topic
Read this section alongside the surrounding pages in Sequences. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Sequences
What is the common difference of the arithmetic sequence below? 4, 11, 18, 25, 32, ...
Zara says: 'The sequence 4, 12, 36, 108 is an arithmetic sequence.' Explain why Zara is wrong. State what type of sequence it actually is.
Quick Recall Flashcards
14 questions on Sequences — practise free
Instant marking, adaptive difficulty, and 12 spaced repetition flashcards. Free until your GCSEs.
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