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Answer :
Final answer:
This is a geometric sequence. To find the common ratio, one can divide any term by its preceding term. The common ratio of this sequence is -0.5.
Explanation:
The sequence you've provided is known as a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
In your sequence 200, -100, 50, -25, you would find the common ratio by dividing any term by the term that directly precedes it. For example, if we divide -100 (the second term) by 200 (the first term), we get -0.5. Dividing 50 (the third term) by -100 (the second term) also gets us -0.5. Thus, -0.5 is the common ratio for this geometric sequence.
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