Using Formula: Challenge & Extension
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying the formula for the nth term of arithmetic sequences. Designed for challenge and extension to deepen understanding.
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Using Formula: 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.
Calculate the 15th term of the arithmetic sequence where the first term is 7 and the common difference is 3.
[2 marks]2.
Find the value of n when the nth term of the sequence 5, 11, 17, ... is 59.
[2 marks]3.
Construct the formula for the nth term of an arithmetic sequence where the 3rd term is 10 and the 7th term is 22.
[3 marks]4.
A sequence has the 1st term 4 and the 10th term 34. Write the nth term formula and find the 20th term.
[4 marks]5.
Given Tn=2n+5, determine the 25th term and verify if the sequence is increasing.
[3 marks]6.
A sequence's 2nd term is 9, and the 6th term is 21. Derive the nth term formula and predict the 10th term.
[3 marks]7.
Identify and correct the error in the following formula derived for an arithmetic sequence: Tn=2n+4, where the first term is 6.
[4 marks]8.
A sequence starts with 12, and each subsequent term increases by 5. If the 8th term is unknown, find its value using the nth term formula.
[2 marks]9.
Create a sequence where the 4th term is 19 and the 10th term is 37. Write the nth term formula and find the 12th term.
[4 marks]10.
Compare the sequences generated by Tn=4n+2 and Tn=3n+5 for n=1 to 10. Which sequence grows faster?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet