11.6: Binomial Theorem A polynomial with two terms is called a binomial.There is a branch of mathematics devoted to the study of counting problems such as this counting the possibilities. 11.5: Counting Principles We encounter a wide variety of counting problems every day.In this section, we will learn how to use series to address annuity problems. Summation notation includes an explicit formula and specifies the first and last terms in the series. Summation notation is often known as sigma notation because it uses the Greek capital letter sigma, ∑, to represent the sum. Summation notation is used to represent series. 11.4: Series and Their Notations The sum of the terms of a sequence is called a series.The common ratio can be found by dividing any term in the sequence by the previous term. This constant is called the common ratio of the sequence. 11.3: Geometric Sequences A geometric sequence is one in which any term divided by the previous term is a constant.One method of calculating depreciation is straight-line depreciation, in which the value of the asset decreases by the same amount each year. This decrease in value is called depreciation. The book-value of these supplies decreases each year for tax purposes. For example, companies often make large purchases, such as computers and vehicles, for business use. 11.2: Arithmetic Sequences In this section, we will consider specific kinds of sequences that will allow us to calculate depreciation.A more efficient way to determine a specific term is by writing a formula to define the sequence. For example, finding the number of hits on the website at the end of the month would require listing out as many as 31 terms. Listing all of the terms for a sequence can be cumbersome. A sequence is a function whose domain is a subset of the counting numbers. 11.1: Sequences and Their Notations One way to describe an ordered list of numbers is as a sequence.One of the first things a lottery winner has to decide is whether to take the winnings in the form of a lump sum or as a series of regular payments, called an annuity, over the next 30 years or so. Buy a villa in Saint Barthélemy? A luxury convertible? A cruise around the world? The likelihood of winning the lottery is slim, but we all love to fantasize about what we could buy with the winnings.
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