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Oliga [24]
1 year ago
13

What is the nth term of the sequence -2 -8 -18 -32 -50

Mathematics
1 answer:
andreev551 [17]1 year ago
6 0

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
  • T_{2} = -2(2)^{2}  +b(2)+c

Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

  • b +c =0
  • 2b+c=0

The solution of this system is:

  • b=0, c =0

The general term is :

T_{n} = -2n^{2}

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Answer:

a)There are 14 teachers in Ryan's sample, and 362 teachers in the population.

Step-by-step explanation:

<u> Population:-</u>

<em>The totality of observations with which we are concerned, whether this number be finite or infinite  is called population.</em>

<em>Given data population is  376 teachers at a university were female'</em>

<u><em>Sample:-</em></u>

A sample is a subset of a Population

sample of given data = 14teachers

The percentage of 376 teachers at a university were female, Ryan randomly selected 14 teachers.

<em />p = \frac{14}{376} = 0.0372<em> = 3.72%</em>

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3 years ago
If the area of a trapezoid is 28 m with a height of 14 m in with one of the base being 1 m to find the length of the second face
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Area = h ·

b 1 + b 2
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where
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Recall that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases.

In the applet above, click on "freeze dimensions". As you drag any vertex, you will see that the trapezoid redraws itself keeping the height and bases constant. Notice how the area does not change in the displayed formula. The area depends only on the height and base lengths, so as you can see, there are many trapezoids with a given set of dimensions which all have the same area.
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The sum of twice a number and 3 times the same number as 40. What is the number?
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Answer:

Let the number be x

According to Question ,

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hope that helps uh...☺

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The answer for this problem is 10,000.
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Answer:

(-8,0)

Step-by-step explanation:

4y - 9x = 72

Let y equal 0

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3 years ago
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