Mastering Quadratic Sequences
Mathematics
Grade 7
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About This Worksheet
A worksheet covering Quadratic Sequences for Grade 7 students, focusing on understanding and applying the concept.
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Mastering Quadratic Sequences
Subject: MathematicsGrade: Grade 7
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Date:
Untitled Worksheet
Grade Grade 7
A
Introduction
A quadratic sequence is a sequence of numbers where the difference between consecutive terms is not constant, but the second difference is constant. Typically, such sequences can be described by a quadratic formula of the form an^2 + bn + c, where n is the term number.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the next three terms in the sequence: 2, 6, 12, 20, ...
[2 marks]2.
Calculate the second difference of the sequence: 3, 8, 15, 24, ...
[2 marks]3.
Determine whether the sequence 5, 14, 27, 44, ... is quadratic.
[1 mark]4.
Find the quadratic formula (an^2 + bn + c) for the sequence 1, 5, 13, 25, ...
[3 marks]5.
What is the 10th term of the sequence defined by n^2 + n?
[2 marks]6.
If the sequence is quadratic and the first three terms are 3, 8, 15, find the general formula for the sequence.
[4 marks]7.
A sequence starts with the terms 4, 9, 16, 25. Is this sequence quadratic? Justify your answer.
[3 marks]8.
A sequence has terms given by 2n^2 + 3n + 1. Find the 7th term.
[2 marks]9.
Given the sequence 1, 4, 9, 16, ..., identify the pattern and write the formula for the nth term.
[4 marks]10.
Challenge: A sequence's first four terms are 3, 8, 15, 24. Find the nth term formula and predict the 10th term.
[5 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
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