How to determine if a sequence is arithmetic or geometric
? Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/va...
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👉 Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence.
An arithmetic sequence is a sequence in which each term of the sequence is obtained by adding a common value, called the common difference, to the preceding term. A geometric sequence is a sequence in which each term of the sequence is obtained by multiplying/dividing by a common value, called the common ratio, to the preceding term.
Given a sequence, we can determine whether the sequence is arithmetic, geometric, or neither by comparing the terms of the sequence. If each term of the sequence is obtained by adding/subtracting a common value to/from the preceding term, then the sequence is an arithmetic sequence. If each term of the sequence is obtained by multiplying the preceding term with or dividing the preceding term by a common value, then the sequence is a geometric sequence. If none of the two conditions were met, then the sequence is neither an arithmetic or a geometric sequence.
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