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Q: Which of the following is the graph of an arithmetic sequence whose first term is 2 and whose common difference is 0.5?

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The sequence is neither arithmetic nor geometric.

It appears to be -6

arithmetic sequence

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

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.

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

yes. A zero common difference represents a constant sequence.

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

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

An arithmetic sequence with common difference of 2.

7

16

34555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555345676543456

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

It is negative 2.

6

-13

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.

What is the 14th term in the arithmetic sequence in which the first is 100 and the common difference is -4? a14= a + 13d = 100 + 13(-4) = 48