Finding Next Terms: Challenge & Extension
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on finding the next terms in arithmetic sequences, including procedural practice, problem solving, real-world applications, and extension challenges for Year 9 students.
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Full preview • 12 questions
Finding Next Terms: Challenge & Extension
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the next three terms in the sequence: 3, 7, 11, 15, ...
[2 marks]2.
Determine the common difference of the sequence: 25, 20, 15, 10, ...
[2 marks]3.
What is the 10th term of the sequence: 2, 4, 6, 8, ...?
[2 marks]4.
Construct the next two terms of the sequence: 50, 45, 40, ...
[2 marks]5.
Calculate the 15th term in the sequence: 100, 95, 90, ...
[2 marks]6.
A sequence has a first term of 5 and a common difference of 3. What is the 8th term?
[2 marks]7.
Identify the error in this sequence: 4, 8, 12, 16, 21, ... and correct it.
[3 marks]8.
If an arithmetic sequence has a 3rd term of 9 and a 5th term of 13, find the first term and the common difference.
[4 marks]9.
A car's journey increases its distance from the start by 15 km each day. If on day 1 it is 15 km from start, what will be its distance after 12 days?
[3 marks]10.
Find the next three terms of the sequence: -2, 0, 2, 4, ...
[2 marks]11.
A sequence has a first term of 10 and increases by 4 each time. What is the 20th term?
[2 marks]12.
Explain why the sequence 5, 10, 20, 40, ... is not arithmetic. How would you modify it to make it arithmetic?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet