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wolverine [178]
4 years ago
10

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
MaRussiya [10]4 years ago
8 0
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.

I hope this helped!
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Step-by-step explanation:

here's the solution,

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so,

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=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)

=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle

(cuz.. right angle = 90°)

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3 years ago
Determine what type of model best fits the given situation a population of wolves is presently at 500 and is decreasing by 10% e
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Answer:

B. Exponential

Step-by-step explanation:

The annual wolf population in each year is

w  =  500  500(0.9) 500(0.9)²  500(0.9)³   …

n =      1           2             3                4            …

The model is w = 500(0.9)ⁿ⁻¹.

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3 years ago
Read 2 more answers
A120<br> B108<br> C135<br> D144<br><br> Please help me
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Answer:

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Step-by-step explanation:

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Answer:

TX: 0.23

LA: 0.24

MS: 0.03

AL: 0.03

FL: 0.47

Step-by-step explanation:

In the figure attached, the map is shown.

Total length of the shoreline: 367 + 397 + 44 + 53 + 770 = 1631 miles

probability of the ship landing in Texas: 367/1631 =  0.23

probability of the ship landing in Louisiana: 397/1631 = 0.24

probability of the ship landing in Mississippi: 44/1631 = 0.03

probability of the ship landing in Alabama: 53/1631 = 0.03

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4 years ago
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rjkz [21]

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

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