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The terms of a geometric sequence always increase.

A. True
B. False

Sagot :

Final answer:

Geometric sequences can decrease if the common ratio is between -1 and 0.


Explanation:

False.

A geometric sequence does not always increase; it can decrease if the common ratio is between -1 and 0. For example, a geometric sequence starting with 100 and a common ratio of 0.5 would decrease: 100, 50, 25, 12.5, ...

Understanding geometric sequences is crucial in mathematics to analyze patterns and model real-world situations.


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