## Dva 2601 Assignments Clip

...** SEQUENCE** * In mathematics, informally speaking, a

**is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the**

*sequence***. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the**

*sequence***. Most precisely, a**

*sequence***can be defined as a function whose domain is a countable totally ordered set, such as the natural numbers. * For example, {M, A, R, Y} is a**

*sequence***of letters with the letter 'M' first and 'Y' last. This**

*sequence***differs from {A, R, M, Y}. Also, the**

*sequence***{1, 1, 2, 3, 5, 8}, which contains the number 1 at two different positions, is a valid**

*sequence***.**

*sequence***can be finite, as in this example, or infinite, such as the**

*Sequences***of all even positive integers {2, 4, 6,...}. Finite**

*sequence***are sometimes known as strings or words and infinite**

*sequences***as streams. The empty**

*sequences***{ } is included in most notions of**

*sequence***, but may be excluded depending on the context. ARITHMETIC**

*sequence**** A**

*SEQUENCE***such as 1, 5, 9, 13, 17 or 12, 7, 2, –3, –8, –13, –18 which has a constant difference between terms. The first term...**

*sequence*
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