Mastering Quadratic Sequences
Mathematics
Grade 8
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A worksheet covering Quadratic Sequences for Grade 8 students.
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Mastering Quadratic Sequences
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Introduction
Review the key concept of quadratic sequences. Recall that the nth term of a quadratic sequence can often be expressed in the form an^2 + bn + c, where a, b, and c are constants.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Identify whether the sequence 3, 8, 15, 24, 35 is quadratic, arithmetic, or neither.
[2 marks]2.
Find the second difference of the sequence 2, 6, 12, 20, 30.
[2 marks]3.
Determine the general form of the nth term for the sequence: 1, 6, 13, 22, 33.
[3 marks]4.
What is the value of the 10th term in the quadratic sequence 2, 7, 14, 23, 34?
[2 marks]5.
Calculate the common second difference for the sequence: 4, 10, 18, 28, 40.
[2 marks]6.
Find the nth term of the sequence: 5, 14, 27, 44, 65.
[3 marks]7.
If the sequence is quadratic with the first three terms 3, 8, 15, what is the 6th term?
[2 marks]8.
Determine whether the sequence 1, 4, 9, 16, 25 is quadratic and find its nth term.
[3 marks]9.
Solve for n: the 7th term of the sequence 2, 6, 12, 20, 30 is 62.
[3 marks]10.
A sequence is defined by the nth term an^2 + bn + c. If the 1st term is 6, the 2nd is 15, and the 3rd is 28, find the values of a, b, and c.
[4 marks]11.
Challenge: A ball is dropped from a height where its height after n seconds is given by the quadratic sequence h(n) = -16n^2 + 40n + 10. How long does it take for the ball to hit the ground?
[4 marks]12.
Real-world application: An economy's quarterly growth can be modeled by a quadratic sequence. If the growth in the first quarter is 3%, the second quarter is 8%, and the third quarter is 15%, predict the growth in the fourth quarter assuming the pattern continues.
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
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