Mills Logan
09/13/2024 · Junior High School
\( 100,50,25,12.5, \ldots= \) geometric \( 1,8,27,64 \ldots= \) general \( 40,30,20,10, \ldots= \) arithmetic \( 0,-2,-4,-6, \ldots= \)
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The sequence \( 0, -2, -4, -6, \ldots \) is an arithmetic sequence.
In this sequence, each term decreases by 2 from the previous term. The common difference is \(-2\).
To summarize:
- \( 100, 50, 25, 12.5, \ldots \) is geometric (common ratio of \( \frac{1}{2} \)).
- \( 1, 8, 27, 64, \ldots \) is a general sequence (specifically, these are cubes: \( 1^3, 2^3, 3^3, 4^3 \)).
- \( 40, 30, 20, 10, \ldots \) is arithmetic (common difference of \(-10\)).
- \( 0, -2, -4, -6, \ldots \) is arithmetic (common difference of \(-2\)).
Quick Answer
The sequence \( 0, -2, -4, -6, \ldots \) is arithmetic (common difference of \(-2\)).
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