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gavmur [86]
3 years ago
7

The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the

value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -15, -11, -7, ...? an = -15 + (-4)(n - 1) an = -15 + (n - 1) an = 4 + (-15)(n - 1) an = -15 + 4(n - 1)
Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer:

4n

Step-by-step explanation:

enyata [817]3 years ago
4 0

Answer:

The 4th choice

Step-by-step explanation:

    To figure this out you would have to just lug in all of the numbers into the equation to find the correct answer.

    So first we would plug in the first number for a1 which will be -15. Then we would put in d or the common difference (the number of numbers in between the 2 numbers). So d in this case would be positive 4 since every single time the number is being added to 4.

    Now we can solve, so we would just find all of the choices that do not have  +4 because that will be wrong. Automatically you can see that choices 1 and 2 are wrong and 3 also looks wrong and the only one that matched our formula is 4 and 4 is the correct answer.

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What method would be best to use 53=4(x-3)^2-11
Veronika [31]

Answer:

x = 7 , -1

Step-by-step explanation:

<u>SOLUTION :-</u>

4(x-3)^2-11 = 53

  • Add 11 to both the sides.

=> 4(x-3)^2-11+11=53+11

=> 4(x-3)^2 = 64

  • Divide both the sides by 4.

=> \frac{4(x-3)^2}{4} = \frac{64}{4}

=> (x-3)^2 = 16

  • Root square both the sides.

=> \sqrt{(x-3)^2} = \sqrt{16}

=> x-3 = +4 \; or -4

Here , x will have two values -

1) x-3 = 4

=> x = 4 + 3 = 7

2) x - 3 = -4

=> x = -4 + 3 = -1

<u>VERIFICATION :-</u>

When x = 7 ,

4(x-3)^2 - 11 = 4(7 - 3)^2 - 11

                       = 4 \times 4^2 - 11

                       = 4 \times 16 - 11

                       = 64 - 11

                       = 53

When x = -1 ,

4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11

                       = 4 \times (-4)^2 - 11

                       = 4 \times 16 - 11

                       = 64 - 11

                       = 53

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b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.

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c) No, the sample is likely <u>not</u> representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.

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d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.

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