Mastering Quadratic Sequences
Mathematics
GCSE Higher
11 questions
~22 mins
0 views0 downloads
About This Worksheet
A worksheet covering Quadratic Sequences for GCSE Higher students, focusing on recognition, formulation, and application of quadratic sequences.
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Mastering Quadratic Sequences
Subject: MathematicsGrade: GCSE Higher
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Date:
Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Find the next three terms of the quadratic sequence: 2, 7, 14, 23, ...
[2 marks]2.
Determine the general term n for the sequence: 3, 8, 15, 24, ...
[3 marks]3.
Calculate the 10th term of the sequence defined by a_n = 2n^2 + 3n.
[3 marks]4.
Identify whether the sequence 5, 12, 21, 32, ... is quadratic. Justify your answer.
[3 marks]5.
Find the second difference of the sequence: 1, 4, 9, 16, 25.
[2 marks]6.
Given the sequence n^2 + n, find the 15th term.
[3 marks]7.
Derive the general form of the sequence with terms 6, 11, 18, 27, ...
[3 marks]8.
A sequence has terms: 4, 9, 16, 25, ... Find the 20th term.
[3 marks]9.
Explain how you can determine if a sequence is quadratic from its graph.
[3 marks]10.
A sequence of costs in pounds is: 10, 25, 44, 67, ... Find the general formula for the sequence.
[4 marks]11.
Challenge: A ball is dropped from a height, and its bounce heights follow a quadratic sequence. If the initial height is 100m and each bounce reaches 3/4 of the previous height, write an expression for the height after n bounces.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet