Mastering Quadratic Sequences
Mathematics
Grade 7
5 questions
~10 mins
0 views0 downloads
About This Worksheet
A worksheet covering Quadratic Sequences for Grade 7 students. This worksheet introduces the concept, checks basic understanding, and applies reasoning skills with real-world challenges.
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Mastering Quadratic Sequences
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction to Quadratic Sequences
Review the definition of quadratic sequences. A sequence is quadratic if the second difference between terms is constant. The general form is an^2 + bn + c.
1.
What is a quadratic sequence?
[2 marks]2.
Identify the pattern in the sequence: 2, 6, 12, 20, 30.
[2 marks]3.
Calculate the first differences for the sequence: 3, 8, 15, 24.
[3 marks]4.
What is the second difference of the sequence: 1, 4, 9, 16?
[2 marks]5.
True or False: All quadratic sequences have a constant first difference.
[1 mark]B
Applying Quadratic Sequences
Use your understanding of quadratic sequences to identify patterns and find missing terms.
1.
Find the next term in the sequence: 1, 4, 9, 16, ...
[2 marks]2.
The sequence 3, 8, 15, 24 is quadratic. Find the formula for the nth term.
[4 marks]3.
Determine whether the sequence 5, 12, 21, 32, ... is quadratic.
[2 marks]4.
Given the sequence 2, 5, 10, 17, find the next term.
[2 marks]5.
Explain why the sequence 1, 4, 9, 16, 25 is quadratic.
[3 marks]C
Challenge and Real-World Applications
Attempt these challenging questions and think about how quadratic sequences appear in real life.
1.
A ball is thrown upwards, and its height in meters after t seconds is given by h = -5t^2 + 10t + 2. Find the time when the ball reaches its maximum height.
[4 marks]2.
A pothole is being fixed, and the depth of the pothole over time (in days) is modeled by d = 2t^2 - 4t + 3. When is the deepest point?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet