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ARITHMETIC SEQUENCE FORMULA FOR FREE
License Terms: Download for free at Question ID 5847, 5832. \left\+dn.Īrithmetic sequence a sequence in which the difference between any two consecutive terms is a constantĬommon difference the difference between any two consecutive terms in an arithmetic sequence The sequence can be written in terms of the initial term 8 and the common difference d. For this sequence the common difference is –3,400. Each term increases or decreases by the same constant value called the common difference of the sequence. The values of the truck in the example form an arithmetic sequence because they change by a constant amount each year. In this section we will consider specific kinds of sequences that will allow us to calculate depreciation, such as the truck’s value. The truck will be worth $21,600 after the first year $18,200 after two years $14,800 after three years $11,400 after four years and $8,000 at the end of five years. The loss in value of the truck will therefore be $17,000, which is $3,400 per year for five years. After five years, she estimates that she will be able to sell the truck for $8,000.
One method of calculating depreciation is straight-line depreciation, in which the value of the asset decreases by the same amount each year.Īs an example consider a woman who starts a small contracting business. The subsequent terms of an arithmetic sequence can also be found by adding the. This decrease in value is called depreciation. The formula used to find the terms of an arithmetic sequence is ana+(n-1)d. The book-value of these supplies decreases each year for tax purposes. Use an explicit formula for an arithmetic sequence.Ĭompanies often make large purchases, such as computers and vehicles, for business use.Use a recursive formula for an arithmetic sequence.Find the common difference for an arithmetic sequence.
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