In this section, we will consider specific kinds of sequences that will allow us to calculate depreciation, such as the truck’s value. A recursive formula is a function rule that relates each term of a sequence after the first to the ones before it. 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. Speaking about the Arithmetic Sequence Recursive Formula, it has two parts: first, a starting value that begins the sequence and a recursion equation that. This decrease in value is called depreciation. Using the recursive formula, we would have to know the first 49 terms in order to find the 50 th. Classify the sequence as arithmetic, geometric, or neither. However, the recursive formula can become difficult to work with if we want to find the 50 th term. Use each recursive rule and a spreadsheet to write the first six terms of the sequence.
The book-value of these supplies decreases each year for tax purposes. So once you know the common difference in an arithmetic sequence you can write the recursive form for that sequence. 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.
If the common difference is -13 and a3 4, what is the value of a4 How do you find the.