Finding Next Terms: Problem Solving & Reasoning
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying and calculating the next terms in arithmetic sequences, designed to develop pattern recognition and reasoning skills for Grade 6 students.
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Finding Next Terms: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the next three terms in the sequence: 5, 8, 11, 14, ...
[2 marks]2.
Calculate the common difference of the sequence: 12, 7, 2, -3, ...
[2 marks]3.
What is the next term in the sequence: 2, 6, 10, 14, ...?
[2 marks]4.
Construct an arithmetic sequence where the first term is 3 and the common difference is 4. Find the 5th term.
[3 marks]5.
A sequence starts with 10 and increases by 3 each time. What is the 10th term?
[2 marks]6.
Identify the next two terms: 50, 45, 40, 35, ...
[2 marks]7.
In a sequence, the 3rd term is 15 and the 5th term is 23. Find the first term and the common difference.
[4 marks]8.
A pattern of numbers increases by 2, then decreases by 1, repeatedly, starting from 0. List the next four terms and find the pattern.
[4 marks]9.
A sequence is defined as: aₙ = 4n + 1. Find the next two terms of the sequence.
[3 marks]10.
Identify the error in this sequence: 3, 6, 12, 24, 48, 97. Explain and correct it.
[4 marks]11.
Challenge: The sequence 7, 10, 13, 16, ... is extended. What is the 15th term?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet