Q: What is the common difference in the following arithmetic sequence 12 6 0 -6 ...?

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The sequence is neither arithmetic nor geometric.

arithmetic sequence

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

yes. A zero common difference represents a constant sequence.

The common difference is the difference between two numbers in 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.

You subtract any two adjacent numbers in the sequence. For example, in the sequence (1, 4, 7, 10, ...), you can subtract 4 - 1, or 7 - 4, or 10 - 7; in any case you will get 3, which is the common difference.

No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.

A single term, such as 51474339 does not define a sequence.

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

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

An arithmetic sequence.

could also be negative

Since there are no graphs following, the answer is none of them.

An arithmetic sequence with common difference of 2.

It is negative 2.

6

-13

16

34555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555345676543456

It is a + 8d where a is the first term and d is the common difference.

7

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

If the terms get bigger as you go along, the common difference is positive. If they get smaller, the common difference is negative and if they stay the same then the common difference is 0.

For any index n (>1) calculate D(n) = U(n) - U(n-1). If this is the same for all integers n (>1) then D is the common difference. The sign of D determines whether the common difference is positive or negative.

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