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Gnom [1K]
3 years ago
8

What's the recursive formula of the geometric sequence below?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula for a geometric sequence.

The common ratio is 3, and 2 is the 1st term.

Thus, we have a1=2(3)^(n-1)

Hope this helps :)

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A vial holds 2 milliliters of pixie dust.
Alina [70]

Hi your answer would be 6 1/2 vials of pixie dust!

5 0
2 years ago
What is the expression for "the difference between 5 times a number and twice that number"?
ycow [4]
Hey there :)

Before translating the sentence into mathematics, let r represent 'a number'

5 times a number = 5r
2 times that number = 2r

The difference between them = 5r - 2r 

* Your equation 
5r - 2r

* Solving the equation 
= 5r - 2r
= 3r
3 0
3 years ago
How many solutions does the system of equations shown below have?
rjkz [21]

Answer:

one solution with a y value of 5

Step-by-step explanation:

/| x+y-4 = 0| x-y-6 = 0

We try to solve the equation: x+y-4 = 0

x+y-4 = 0 // - x-4

y = -(x-4)

y = 4-x

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| x+x-6-4 = 0| y = 4-x

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

We insert the solution into one of the initial equations of our system of equations

For y = 4-x:  

y = 4-5

y = -1

We get a system of equations:

/| y = -1| x = 5

4 0
3 years ago
Make r the subject of the formula
zloy xaker [14]

Answer:

r=\frac{-a+p}{a+p}

Step-by-step explanation:

-pr+p=ar+a

-ar-pr+p=a

-ar-pr=a-p

r(-a-p)=a-p

r=\frac{-a+p}{a+p}

3 0
3 years ago
Read 2 more answers
A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the
love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0
3 years ago
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