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REFLECTION QUESTION

What must be true about an arithmetic sequence whose common difference is negative?

Choose 1 answer:

A. All the terms in the sequence are positive.

B. All the terms in the sequence are negative.

C. The terms in the sequence are always increasing.

D. The terms in the sequence are always decreasing.



Answer :

GinnyAnswer

Final answer:

An arithmetic sequence with a negative common difference always decreases in value.


Explanation:

An arithmetic sequence with a negative common difference is always decreasing. In such a sequence, each term is obtained by subtracting the common difference from the previous term. For example, if the first term is 10 and the common difference is -2, the sequence would be 10, 8, 6, 4, and so on.


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