Trig and seq.notebook - Math with Mrs. Brown
... COMMON DIFFERENCE, d, subtract successive terms, you will always get this common value. Ex.: Find the common difference, d, of the following sequence and find the next term in the sequence: ...
... COMMON DIFFERENCE, d, subtract successive terms, you will always get this common value. Ex.: Find the common difference, d, of the following sequence and find the next term in the sequence: ...
The Length of a Line Segment
... sequence, the ratio formed by DIVIDING any term by the preceding term is called the ____________________. In this example, the common ratio for the number of layers is ________ and the area of the rectangle created is ________. Investigate: Let’s see if we can create a formula for finding t n of a g ...
... sequence, the ratio formed by DIVIDING any term by the preceding term is called the ____________________. In this example, the common ratio for the number of layers is ________ and the area of the rectangle created is ________. Investigate: Let’s see if we can create a formula for finding t n of a g ...
DEFINITION OF A SEQUENCE
... A sequence is a set of numbers u1; u2; u3; . . . in a definite order of arrangement (i.e., a correspondence with the natural numbers) and formed according to a definite rule. Each number in the sequence is called a term; unis called the nth term. The sequence is called finite or infinite according as th ...
... A sequence is a set of numbers u1; u2; u3; . . . in a definite order of arrangement (i.e., a correspondence with the natural numbers) and formed according to a definite rule. Each number in the sequence is called a term; unis called the nth term. The sequence is called finite or infinite according as th ...
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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.