Sections in this topic include:
1. Sequences, Series, and Summation Notation
In exploring this topic, we begin by investigating sequences, series and the summation notation. Groups within this section include: finding the first five terms of a sequence; finding the general term of a sequence; evaluating a series; writing a series in sigma notation; finding the first six terms given a recursive sequence.
2. Arithmetic Sequences and Series
With an understanding of what sequences and series are, we now focus on arithmetic sequences and series. Groups within this section include: determining if a sequence is arithmetic and finding a common difference; and finding the sum of an arithmetic series.
3. Geometric Sequences and Series
Continuing our investigation of sequences and series, we discover geometric sequences and series. Groups wthin this section include: determining if a sequence is geometric and finding a common ratio; finding the sum of a geometric series; evaluating infinte geometric series; writing a decimal number as a rational number.
4. The Binomial Theorem
We conclude this topic with the Binomial Theorem which allows us to expand binomials to powers. Groups within this section include: evaluating factorials and combinations; writing quantities as the quotient of two factorials; using the Binomial Theorem to expand powers; and finding terms of a Binomial Expansion.
