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Flura [38]
4 years ago
15

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
JulsSmile [24]4 years ago
7 0

Answer:

C

Step-by-step explanation:

an arithmetic sequence is a sequence in which you use addition/subtraction in order to achieve each term. Choice A alternates between the negative and positive therefore you can tell that it's multiplying each time, and the same goes for D, those two are incorrect. B is incorrect because you cannot add/subtract a number each time to get the next term. C, if you attempt to find the difference between in each term in choice C you will succeed and find that each time you add 3/2 each time to get the next term.

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1) given x^4 + 95x^2 - 500

2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )

3) find two numbers that add up 95 and their product is - 500:

=> 100*(-5) = - 500 and 100 - 5 = 95

=> (x^2 + 100)(x^2 - 5)

4) factor x^2 - 5 = (x + √5) (x - √5)

5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)

6) find the solutions:

x^2 + 100 = 0 => not possible

x + √5 = 0 => x = - √5

x - √5 = 0 => x = √5


Answer: x = √5 and x = - √5
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