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 6 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 6
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