Sequences
Overview
A savings account that grows by the same amount each month, the number of tiles needed as a patio grows ring by ring, a population that doubles at fixed intervals: patterns like these are sequences, and spotting the rule behind them lets you predict any term without listing every one in between.
This topic trains you to recognise sequences built from a common difference, to recognise the handful of integer sequences that appear again and again in mathematics, and to continue any given sequence confidently, including ones where the pattern is not obvious at first glance.
Objectives
- Recognise sequences with a common difference or common integer sequences, and continue a given sequence
Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Sequences. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- What is the common difference of the sequence 12, 15, 18, 21? A) 2 B) 3 C) 4 D) 12 Answer: B
- Which sequence is the triangular numbers? A) 1, 2, 4, 8, 16 B) 1, 4, 9, 16, 25 C) 1, 3, 6, 10, 15 D) 2, 3, 5, 7, 11 Answer: C
- A sequence begins 2, 6, 12, 20 with second differences that are constant. What is the constant second difference? A) 1 B) 2 C) 4 D) 6 Answer: B
- The nth term of a sequence is 4n - 1. What is the 10th term? A) 35 B) 39 C) 40 D) 41 Answer: B
- In a Fibonacci-type sequence starting 2, 5, what is the fourth term? A) 7 B) 10 C) 12 D) 17 Answer: C
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Recommended Books
Practice Mock Questions
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