![infinite series](http://s1.studyres.com/store/data/008466830_1-f8f5ec7200a85ee95fee29047c32d0ed-300x300.png)
Sequences
... follow a simple rule. Some sequences follow more complex rules, for example, the time the sun sets each day. Some sequences are completely random, like the sequence of numbers drawn in the lottery. What other number sequences can be made from real-life situations? 4 of 10 ...
... follow a simple rule. Some sequences follow more complex rules, for example, the time the sun sets each day. Some sequences are completely random, like the sequence of numbers drawn in the lottery. What other number sequences can be made from real-life situations? 4 of 10 ...
GUIDED NOTES – Lesson 8-1
... Determine the explicit formula for a given sequence. Generate terms in sequence, given the explicit formula. Identify the pattern of a sequence and generate additional terms. Apply sequences to real-life scenarios and problems. ...
... Determine the explicit formula for a given sequence. Generate terms in sequence, given the explicit formula. Identify the pattern of a sequence and generate additional terms. Apply sequences to real-life scenarios and problems. ...
9.1 Series and Sequences
... • Sequence- A list of numbers that may or may not be in a pattern; a function whose domain is a set of positive integers (whole numbers) • Term- a number in the sequence ...
... • Sequence- A list of numbers that may or may not be in a pattern; a function whose domain is a set of positive integers (whole numbers) • Term- a number in the sequence ...
Sequence
In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms). The number of 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. Formally, 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. Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6,...). In computing and computer science, finite sequences are sometimes called strings, words or lists, the different names commonly corresponding to different ways to represent them into computer memory; infinite sequences are also called streams. The empty sequence ( ) is included in most notions of sequence, but may be excluded depending on the context.