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vovangra [49]
2 years ago
6

The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?

Mathematics
1 answer:
Andrews [41]2 years ago
7 0

Answer:

a_{200}=418

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

a_n=20+(n-1)2 ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418

So, the 200th term of the sequence is 418.

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What is 4(a)(c)? Calculate the answer.
Anna71 [15]
Answer: -20

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3 years ago
Fins the zeroes of the quadratic equation : 4√ 5 x^ 2 - 24x - 9√ 5
liubo4ka [24]

Answer:

Step-by-step explanation:

Hello,

First of all, we know that the solution of the following equation

   ax^2+bx+c=0

are

   \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \ \text{ when } \Delta=b^2-4ac \geq 0

<em>I would suggest that you try to apply this formula first and check the solution only after you try.</em>

Let's apply it in this case, we have:

a=4\sqrt{5} \\ \\ b=-24 \\ \\ c= -9\sqrt{5}

\Delta=b^2-4ac=24^2+4*9*5=1296 \\ \\ \sqrt{\Delta}=36 \ \text{ and the solutions are } \\ \\ \\ x_1=\dfrac{24-36}{8\sqrt{5}}=\dfrac{-12}{8\sqrt{5}}=\boxed{\dfrac{-3}{2\sqrt{5}}} \\ \\x_2=\dfrac{24+36}{8\sqrt{5}}=\dfrac{60}{8\sqrt{5}}=\boxed{\dfrac{15}{2\sqrt{5}}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
20 POINTS What are the x-intercepts of the graph? A) x = -5 B) x = 1 and 5 C) x = 0 and 4 D) x = -1 and 5
Sedbober [7]

Answer:

<h2>B) x = 1 and 5</h2>

Step-by-step explanation:

x-intercept: the intersection point of the graph with the x axis.

Therefore, the x-intercepts are x = 1 and x = 5 (<em>look at the picture)</em>.

8 0
3 years ago
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Center is at (0, 0) and make sure you label it on the diagram
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8 0
3 years ago
A large company releases summary statistics about the annual salaries for its employees. Mean standard deviation minimum Q1 medi
iren2701 [21]

Pieces of data such as $18,000 and $350,000 represent outliers in this chart in standard deviation .

How to interpret a standard deviation?

  • The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
  • The standard deviation calculates how much the data vary from the mean value. It is helpful for contrasting data sets that might have the same mean but a different range.

In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.

Learn more about "standard deviation"

brainly.com/question/16555520

#SPJ4

3 0
10 months ago
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