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To find the common difference in this arithmetic sequence, we need to identify the differences between consecutive terms. The terms given are 3x, 9y, 6x, 5y, 9x, y, 12x-3y, and 15x-7. Calculating the differences, we find that the common difference is not consistent across the terms, indicating that this sequence does not represent a proper arithmetic sequence. Therefore, there is no single common difference.

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3mo ago

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Related Questions

What is a common difference?

The common difference is the difference between two numbers in an arithmetic sequence.


What is the common difference?

The difference between each number in an arithmetic series


What is the difference between any two successive terms in a arithmetic sequence?

It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".


What is a common difference in algebra?

Common difference, in the context of arithmetic sequences is the difference between one element of the sequence and the element before it.


What is the common difference for these arithmetic sequence?

It is the difference between a term (other than the second) and its predecessor.


What is the difference between succeeding terms called?

The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.


What is a good example of an arithmetic sequence?

An excellent example of an arithmetic sequence would be: 1, 5, 9, 13, 17, in which the numbers are going up by four, thus having a common difference of four. This fulfills the requirements of an arithmetic sequence - it must have a common difference between all numbers.


What is an arithmetic sequence examples?

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. For example, the sequence 2, 5, 8, 11, 14 has a common difference of 3. Another example is 10, 7, 4, 1, which has a common difference of -3. In general, an arithmetic sequence can be expressed as (a_n = a_1 + (n-1)d), where (a_1) is the first term and (d) is the common difference.


Which of the following choices is the common difference between the terms of this arithmetic sequence?

45, 39, 33, 27, 21, ...


Can zero be the common difference for arithmetic progression?

yes. A zero common difference represents a constant sequence.


What is a sequence in which a common difference separates terms?

arithmetic sequence


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.