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AfilCa [17]
3 years ago
8

For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, explain.

{-4, 12, -36, ...}
Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0

you have to multiply by -3

so the answers are going to be one negative one positive

and the next 5th terms are 108,-324,972,-2916,8748


TiliK225 [7]3 years ago
3 0
12 / -4 = -3, also -36 / 12 = -3.

So the sequence goes:

-4, -4(-3), -4(-3)(-3), ... or -4, -4(-3), -4(-3)^2...

So the recursive formula to find any term would be -4(-3)^n, where n = 0 for the first term.

So for the 5th term, n = 4 and so:
-4(-3)^4 = -324.

You can check as it would be -36 * -3 * -3 = -36*9 = -324.
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#20
yKpoI14uk [10]

0.48 miles

Step-by-step explanation:

Step 1

It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.

Step 2

Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]

6 0
3 years ago
What is the rate of change between (29,9) and (33,10)?
Tema [17]

Answer:

\frac{1}{4}

Step-by-step explanation:

The rate of change is a measure of the slope

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)

m = \frac{10-9}{33-29} = \frac{1}{4} ← rate of change

6 0
3 years ago
Please put into slope intercept form and please SHOW THE WORK
daser333 [38]
5x+y= -5 , i hope I help you
8 0
3 years ago
Read 2 more answers
What is equation for the line that is perpendicular to y-3=-4(x+2) and passes through the point (-5,7)
jekas [21]

Answer:

y-7=1/4(x+5)

Step-by-step explanation:

y-3=-4(x+2)

y=-4x-8+3

y=-4x-5

-----------

y-y1=m(x-x1)

y-7=m(x-(-5))

y-7=m(x+5)

perpendicular means negative reciprocal of the slope,

so the slope will be 1/4

y-7=1/4(x+5)

4 0
4 years ago
Reading list
never [62]

9514 1404 393

Answer:

  7 cm, 4.4 cm

Step-by-step explanation:

The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...

  s = √(a² +b² -2ab·cos(C))

  s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}

The two side lengths are 7 cm and about 4.4 cm.

8 0
3 years ago
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