Sequences
Overview
A sequence is a list of numbers that follows a rule, and spotting that rule is one of the most satisfying skills in mathematics. Once you can describe a sequence with a formula for its nth term, you can jump straight to the 100th term without writing out the first 99.
In this lesson you will continue sequences, recognise patterns including the term-to-term rule, and find and use the nth term of linear and (at Extended) simple quadratic and cubic sequences.
Objectives
- Continue a given number sequence or pattern.
- Recognise patterns in sequences, including the term-to-term rule, and relationships between different sequences.
- Find and use the nth term of the following sequences: (a) linear (b) simple quadratic (c) simple cubic.
- Find and use the nth term of sequences. (Extended only)
Audio Lesson
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Mind map
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Flashcards
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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.
- Find the nth term of 3, 7, 11, 15, ... A. 3n B. 4n - 1 C. 4n + 1 D. n + 4 Answer: B
- What is the next term in 5, 8, 11, 14, ...? A. 16 B. 17 C. 18 D. 21 Answer: B
- For the nth term 4n - 1, what is the 20th term? A. 79 B. 80 C. 81 D. 19 Answer: A
- The sequence 1, 4, 9, 16, ... has nth term: A. 2n B. n + 3 C. n^2 D. 4n Answer: C
- What is the term-to-term rule for 2, 6, 10, 14, ...? A. add 2 B. add 4 C. multiply by 3 D. add 6 Answer: B
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Recommended Books
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