Finding Formula: Real-world Applications

Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on finding the formula for arithmetic sequences through real-world scenarios, enhancing understanding of nth term calculations.

Worksheet Preview

Full preview • 12 questions

Finding Formula: Real-world Applications

Subject: MathematicsGrade: Grade 7
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz

Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Find the nth term formula for the sequence: 3, 6, 9, 12, ...
[2 marks]
2.
Determine the nth term formula for the sequence: 5, 10, 15, 20, ...
[2 marks]
3.
Write the nth term formula for the sequence: 20, 18, 16, 14, ...
[2 marks]
4.
Find the 10th term of the sequence: 2, 4, 6, 8, ...
[2 marks]
5.
What is the 15th term in the sequence: 7, 10, 13, 16, ...?
[2 marks]
6.
A sequence starts with 12 and increases by 3 each time. Write the nth term formula.
[3 marks]
7.
In a sequence, the 1st term is 50 and the common difference is -4. Find the formula for the nth term.
[3 marks]
8.
A sequence has a 3rd term of 15 and a 5th term of 23. Find the nth term formula.
[4 marks]
9.
Construct an arithmetic sequence where the 4th term is 20 and the common difference is 3. Write the first term and the nth term formula.
[4 marks]
10.
A factory produces 100 units in the first week and increases production by 20 units each subsequent week. Write the nth term formula for weekly production.
[4 marks]
11.
A student notices a pattern in a sequence: 4, 8, 12, 16, ... and wants to find a general rule. What is the nth term formula? Then, find the 20th term.
[4 marks]
12.
Identify and correct the mistake: A sequence with first term 5 and common difference 3 has nth term a_n=5+3n. Is this correct? If not, fix it.
[3 marks]

Quick Actions

What is Remix?

Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.

  • • Change grade level (Grade 6 → Grade 7)
  • • Swap topics (Harry Potter → Macbeth)
  • • Add more questions (10 → 15)
  • • Adjust difficulty

Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet