An Algebra Unit Portfolio Essay Example

An Algebra Unit Portfolio Essay Part a- Definitions Limit (long run value): The long run value (LRV) of a line refers to the amount a line can continue to at. It cannot increase anymore. This only occurs when there is a shifted geometric sequence. The limit is reached when the amount adding on is the same as the difference for an amount being multiplied. For instance if the recursive formula for a for a line is un=un-1(.85)+45 and U0=450 and n>1 then the long run value 300. This graph is very simple but shows an example of the equation given. As for the table is is just a quick demonstration to show that this shifted geometric sequence is decreasing. We will write a custom essay sample on An Algebra Unit Portfolio specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on An Algebra Unit Portfolio specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on An Algebra Unit Portfolio specifically for you FOR ONLY $16.38 $13.9/page Hire Writer 0 1 2 3 450 427.5 408.4 392.1 Shifted Geometric Sequence: A shifted geometric sequence is one that increases non-linearly at a non-constant rate. A shifted geometric sequence will have a limit that it will reach. Shifted geometric sequences have a common ratio they are being multiplied by, as well as something that is being added to the multiplied by term. I gave an example of this while explaining the definition of LRV but other examples could include the following:Each one of these equations has a long run value each is just different due to the problem. The first one, is something that is compounded and would be an example of an investment because it is increasing. The second is an example of something that is increasing but is out of one hundred. Somethingthat would be appropriate for is a type of medicine being taken by someone. The third one is a simple example and is pretty basic. It shows a shifted geometric sequence that in the end will have a long run value, just like the other two. If the first example given was -25 versus +25 it would be an example of a loan because money being taken out of the account to pay off the loan versus being put in which would be the case for an investment. Common Difference: This only applies for an arithmetic sequence, it is the difference between two numbers