Using Formula: Real-world Applications
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying the nth term formula to real-world and mathematical problems involving arithmetic sequences for Grade 6 students.
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Full preview • 12 questions
Using Formula: Real-world Applications
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.
If the first term of an arithmetic sequence is 5 and the common difference is 3, find the 10th term using the formula.
[2 marks]2.
Write the general formula for the nth term of an arithmetic sequence with first term a₁ and common difference d.
[2 marks]3.
A sequence starts with 2 and increases by 4 each time. What is the 15th term?
[2 marks]4.
Calculate the 20th term of an arithmetic sequence where a₁ = 7 and d = 2.
[2 marks]5.
Construct the first five terms of an arithmetic sequence with a₁ = 3 and d = -2.
[3 marks]6.
A company saves $100 in the first month and increases their savings by $20 each subsequent month. How much will they save in the 12th month?
[3 marks]7.
A student notices the sequence 8, 11, 14, 17, ... continues. What is the 25th term?
[2 marks]8.
A sequence has first term 10 and the 8th term is 25. Find the common difference d.
[3 marks]9.
The nth term of an arithmetic sequence is given by aₙ = 4 + 3(n - 1). Find the 50th term.
[2 marks]10.
Identify the common mistake: A student writes the nth term as aₙ = a₁ + n×d instead of a₁ + (n - 1)×d. Explain why this is incorrect.
[3 marks]11.
Given the sequence where a₁ = 12 and the 5th term is 22, find the common difference d.
[3 marks]12.
A sequence is increasing by 5 each month. If the first term is 20, what is the 30th term?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet