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Arithmetic Sequence

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12y ago

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A sequence in which the term change by the same amount each time?

Arithmetic Sequence


What is a sequence or pattern in which the terms differ by the same amount each time?

That is called an arithmetic sequence. For example: 8, 15, 22, 29, 36, 43, 50, 57, etc.


What does common difference mean?

In mathematics, the common difference refers to the constant amount that is added or subtracted in each step of an arithmetic sequence. It is the difference between any two consecutive terms in the sequence. For example, in the sequence 2, 5, 8, 11, the common difference is 3, as each term increases by this amount. This concept helps in determining the formula for the nth term of an arithmetic sequence.


What is the type of sequence where the terms in the sequence are found by adding the same number each time?

That's an arithmetic sequence.


What is each of the numbers in as a sequence called?

Each number in a sequence is called a "term." The sequence itself is an ordered list of these terms, which can follow a specific pattern or rule. Terms can be finite or infinite, depending on whether the sequence has a defined endpoint or continues indefinitely.


What are the next three terms in sequence 0.05 0.4 3.2 25.6 Each number in the sequence is 8 times the?

Each number in the sequence is 8 times the previous term, hence the next three terms are: 204.8, 1638.4 and 13107.2


Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?

Yes, that's what a geometric sequence is about.


What is the difination of the harmonic sequence?

A harmonic sequence is a sequence of numbers in which the reciprocal of each term forms an arithmetic progression. In other words, the ratio between consecutive terms is constant when the reciprocals of the terms are taken. It is the equivalent of an arithmetic progression in terms of reciprocals.


What is Terms in the sequence?

In a mathematical sequence, "terms" refer to the individual elements or numbers that make up the sequence. For example, in the sequence 2, 4, 6, 8, the terms are 2, 4, 6, and 8. Each term can be defined by a specific rule or formula that generates the sequence, such as adding a constant value or multiplying by a factor. Understanding the terms is essential for analyzing the properties and patterns within the sequence.


What does geometric sequence?

You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.


What are the next terms in a sequence 256 128 64 32?

The sequence follows a pattern where each term is half of the previous term. Therefore, the next terms after 32 would be 16, 8, and 4.


What consecutive terms is constant in a geometric sequence?

In a geometric sequence, the ratio between consecutive terms is constant. This means that each term can be obtained by multiplying the previous term by a fixed, non-zero number called the common ratio. For example, in the sequence 2, 6, 18, the ratio is consistently 3, as each term is three times the preceding one. Thus, the defining characteristic of a geometric sequence is this consistent multiplicative relationship between consecutive terms.