Answer: {2, -2, -6, -10}
Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.
To break it down:
The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:
-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2
Therefore does not follow the definition of an arithmetic sequence.
The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.
Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.
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Answer: x = 21
Step-by-step explanation:
look at the picture
Answer:

Step-by-step explanation:
Five is <em>one-eighth</em> of forty, so relatively proportional to that, <em>one-eighth</em> of twenty-four is three, so you do this:
24 = 2x + 10
- 10 - 10
__________

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Answer: first answer choice
Step-by-step explanation:
Answer:
3√2
Step-by-step explanation:
√3 x √6
= √3×6
= √18
= √9×2
= √9 × √2
= 3 × √2
= 3√2
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