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In General we can write an arithmetic sequence like this: {a, a+d, a+2d, a+3d, ... } where: a is the first term, and; d is the difference between the terms (called the "common difference") And we can make the rule: x n = a + d(n-1) (We use "n-1" because d is not used in the 1st term). Geometric Sequences
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
Each element in the sequence is called a term. A sequence can be finite, meaning it has a specific number of terms, or infinite, meaning it continues indefinitely. Sequences can be described in different ways, such as an explicit formula, a recurrence relation, or a table of values.
A "sequence" (called a "progression" in British English) is an ordered list of numbers; the numbers in this ordered list are called the "elements" or the "terms" of the sequence. A "series" is what you get when you add up all the terms of a sequence; the addition, and also the resulting value, are called the "sum" or the "summation".
A sequence is an ordered list of numbers. A series is the sum of the terms of a sequence. When describing sequences, the following notation is standard: \ [ \ {a_n\}_ {n=1}^ {n=10}, \quad a_n = n^2.\]
Each number in a sequence is called a term. A sequence which increases or decreases by the same amount each time is called a linear sequence. Term to term rules. The term to term...
A sequence is a list of numbers, geometric shapes or other objects, that follow a specific pattern. The individual items in the sequence are called terms, and represented by variables like x n. A recursive formula for a sequence tells you the value of the nth term as a function of its previous terms the first term.
