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Grades 9/10/11 Sequences, Series, and Financial Literacy

Arithmetic and geometric sequences. Financial applications including simple interest, compound interest, and annuities.

This is one of seven strands of the CEMC Grade 9/10/11 courseware. The other strands and more information about this courseware is available on the Grade 9/10/11 homepage.

Units

Unit 1: Representing Sequences

In this lesson, students will be introduced to sequences and the associated notation. They will develop an understanding of recursive sequences and represent sequences in a variety of ways.

In this lesson, we will be introduced to a famous pattern of numbers known as Pascal’s triangle. Patterns within Pascal’s triangle will be investigated, including those that assist in expanding powers of binomials, $$(a+b)^n$$. The Binomial Theorem will be used to expand binomials of the form $$(a+b)^n$$ and to find specific terms within a binomial expansion.

All of the pencil and paper practice exercises, answers, and solutions for this unit are reproduced here.

This is a collection of additional, and sometimes challenging, problems that extend the material covered in this unit, connect material from different lessons, and further explore real-world applications.