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Karo-lina-s [1.5K]
3 years ago
8

What is the recursive rule for this geometric sequence? 1/2, -2, 8, -32

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

A recursive rule allows us to find the term in a sequence from the previous term.

From the given geometric sequence find r the common ratio

r = \frac{-2}{\frac{1}{2} } = \frac{8}{-2} = - 4

Hence recursive rule is

a_{n+1} = - 4a_{n} ( a₁ = \frac{1}{2} )

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A line passes through the point (-6,9) and has a slope of 3/2. Write an equation in slope-intercept form for this line.
BaLLatris [955]

Answer:

y=3/2x+18

Step-by-step explanation:

Hi there!

We are given a point (-6,9) and a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:

y=3/2x+b

Now let's find  b

Since the equation of the line passes through (-6,9), we can use it to help solve for b

Substitute -6 as x and 9 as y:

9=3/2(-6)+b

Multiply

9=-9+b

Add 9 to both sides

18=b

Substitute 18 as b into the equation.

y=3/2x+18

Hope this helps!

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2 years ago
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bonufazy [111]

Answer:

3

Step-by-step explanation:

7 0
2 years ago
How many servings in 3/4 of a cookie when each serving is 1/2 cookie
pishuonlain [190]
1 1/2 servings are in 3/4 bc 2/4= 1/2 and theres 1/2 a cookie left and if u take half of that it gets to 3/4
3 0
3 years ago
What is the value of q?
andre [41]

Answer: here

Step-by-step explanation:riangles QST and RST are similar.  Therefore, the following is true:

q       s

--- = ----   This results in 10q=rs.

r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.  

           4      s

Also:  ---- = -----    which leads to s^2 = 40

           s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

hope it helps

6 0
3 years ago
Select the correct answer.
mariarad [96]

Answer:

D.  slope: 3

y-intercept: -3

Step-by-step explanation:

8 0
3 years ago
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