The document defines sequences and provides information about arithmetic and geometric sequences. It explains that: - An arithmetic sequence follows a pattern where each term is generated by adding a common difference to the previous term. The common difference is the slope of the linear equation that generates the terms. - The nth term in an arithmetic sequence can be calculated as: tn = a + (n - 1)d, where a is the first term, n is the position of the term, and d is the common difference. - A geometric sequence follows a pattern where each term is generated by multiplying the previous term by a common ratio. The common ratio is the base of the exponential equation that generates the terms.