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Sloan [31]
3 years ago
10

What is the explicit formula for this sequence?

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

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What is 22.3 rounded to the nearest hundred
WITCHER [35]

Answer:

100

Step-by-step explanation:

8 0
3 years ago
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May I please get help with other this problem for I am confused as I have tried multiple times to get the right answer
Aleks [24]

Using pythagoras

\begin{gathered} x^2=16^2+12^2 \\ x^2=256+144 \\ x^2=400 \\ \text{Take the square root} \\ x=20 \end{gathered}

The final answer

20

5 0
1 year ago
Just need help with #6
Anarel [89]

Answer:

Step-by-step explanation:

a) The rate of change is referred to as slope

Slope = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

From the graph,

y2 = 160 = final value of y

y 1 = 260 = initial value of y

x2 = 10 = final value of x

x1 = 5 = initial value of x.

Slope = (160 - 260)/10 - 5)=-100/5

Slope = -20

b) initial height of the biker above the Canyon was 360 feets. It is reducing as the time is increasing.

c) it took the hiker 18 minutes to reach the Canyon floor.

d) After 9 minutes, the hiker was 180 feets above the Canyon floor

e) it took 7 minutes for the hiker to reach 220 feets above the Canyon floor.

f) The domain is the set of all possible values of the independent variable and the independent variable is time.

The time between which the hiker was at the maximum height and the minimum height lies between 18 minutes and 0 minutes.

The domain is 0 lesser than or equal to t lesser than or equal to 18.

The range is the set of all possible values of the dependent variable and the dependent variable is height of the hiker above the Canyon. The maximum height of the hiker was 360 feet and the minimum height of the hiker was 0 feet. Let the height be h.

The range is 0 lesser than or equal to h lesser than or equal to 360

3 0
3 years ago
Please select the best answer from the choices provided
Elena L [17]

<u>Answer:</u>

The correct answer option is d. 9.

<u>Step-by-step explanation:</u>

We are given an expression 27^{\frac{2}{3} } and we are supposed to simplify it.

We can also write 27^{\frac{2}{3} } as (3^3)^{\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

(3^3)^{\frac{2}{3} }\\3^{3.\frac{2}{3}

3 gets cancelled by 3 so we are left with:

3^2 =9

Therefore, the correct answer option is d. 9.

4 0
2 years ago
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F(x)=9x^2 <br><br> g(x)= sqrt 12-x/3<br><br> (f o g)(-4)
Slav-nsk [51]

f(x)=9x^2 \\ g(x)=\frac{\sqrt{12-x}}{3} \\ So,first step is to write (fog)(-4)) =f[g(-4)] \\

Now we start from inner paranthesis ,we need to first find value of g(-4) =\frac{\sqrt{12-(-4)}}{3}\\ =\frac{\sqrt{12+4}}{3}\\&#10;=\frac{\sqrt{16}}{3}\\&#10;=\frac{4}{3}\\&#10;(fog)(-4)) =f[g(-4)] =f(\frac{4}{3}) =9(4/3)^{2} =9*(16/9) =144/9 =16     

8 0
3 years ago
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