what is the recursive formula for this geometric sequence? -3,-21

Answers

Answer 1
A recursive formula is stating what the first value is, and how to get to the next number given the previous number.

Since the first number is 3, our first part is a₁=3 (if a is the function). Next, to get to -21, we multiply 3 by -21/-3=7. Therefore, aₓ(if x is the nth term of the function)=7*a₍ₓ₋₁₎ due to that we multiply 7 by the previous number

Related Questions

Ow is the constant max_length declared inside a method with the value of 99.98?

Answers

final double
MAX_LENGTH = 99.98

A supplier offers a discount on a product bought in bulk. If you buy 240 parts, you get a $5 discount on each part, which reduces the cost to the same as buying 200 parts at full price. How much is each part?

Answers

Let $x =  the full price for a part.

200 parts at full price costs $x * 200 = 200x dollars

240 parts will have $5 discount per part. The cost is
240(x - 5) = 240x - 1200 dollars

The two costs are the same, therefore
240x - 1200 = 200x
40x = 1200
x = $30

Answer: $30

How many 3-digit numbers can you write using only the digits 1 and 2?

Answers

For the first digit, you have two possible choices: 1 or 2. For *each* of those choices, you can choose 1 or 2 for the second digit in the number, and for each of *those*, you can choose 1 or 2 for the third digit of the number.

That’s 2 * 2 * 2 or 8 possible 3-digit numbers you can make with the digits 1 and 2.

What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in the box.

Answers

Answer:

  [tex]\boxed{90}\,\text{units$^2$}[/tex]

Step-by-step explanation:

The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:

  Area = (Base)(Height) = (18 units)(5 units) = 90 units²

What is the coefficient in the expression 3x/13+4 ?


Enter your answer in the box.

Answers

the coefficient of a variable  is any number multiplied by it so in this case the variable is x and the number multiplied by it is [tex] \frac{3}{13} [/tex]

9 more than the quotient of negative 36 and negative 4

Answers

9+(-36 divided by -4)= 18

-36divided by -4 is 9 (negative divide by a negative is a positive)

then you add 9 which is 18
(-36/-4)+9

9+9

18

The answer is 18. Hope this helps!

How many 10 are in 64785

Answers

6478 10's. To be accurate; 6478.5

Which of the following is equivalent to 30p^4q^3r + 42p^2r - 18p^2q^2r when it is completely factored?
A. 3pr(10p^3q^3 + 12p - 9pq^2)
B. 6(5p^4q^3r + 7p^2r - 3p^2q^2r)
C. 6p^2q^2r(5p^2q + 4)
D. 6p^2r(5p^2q^3 + 7 - 3q^2)

Answers

30p^4q^3r + 42p^2r - 18p^2q^2r 
= 6p^2r (5p^2q^3 + 7 - 3q^2)

answer
D. 6p^2r(5p^2q^3 + 7 - 3q^2)
The answer is:  [D]:  " 6p²r (5p²q³ + 7 − 3q²) " .
__________________________
Note:
__________________________
Given:
__________________________
30p⁴q³r + 42p²r - 18p²2q²r  ;

we can factor out a 

"6p²r" ;
_________________________________________________
to get:

" 6p²r (5p²q³ + 7 − 3q²) " ; which is:  "Answer choice:  [D]" .
_________________________________________________

Please be a good person and help me..I really need to get this right to boost my grade in math ((and boy do I need it!!))

Use the graph shown to fill in the blank.

When x = 1, then y = a0.

Answers

Use a different color pen to draw a vertical line through x = 1 on the x axis. See the attached image and you'll see I'm drawing a vertical red line. This red line crosses the slanted black line at the location (1,-2), which is the blue point marked. The x coordinate of this point is x = 1 and the y coordinate of this point is y = -2. 

So when x = 1, the value of y is y = -2 which is the final answer


Triangle DEF is formed by the three squares P, Q, and R:

A right triangle DEF is shown. On the side DE of this triangle is a square. Inside the square is written Square P, and below it and inside the square is written Area equal to 64 square units. On the side EF of this triangle is another square. Inside the square is written Square Q, and below it and inside the square is written Area equal to 225 square units. On the side DF of this triangle is another square. Inside the square is written Square R, and below it and inside the square is written Area equal to 289 square units.

Which statement best explains the relationship between the sides of triangle DEF?

DE + EF = DF, because 64 + 225 = 289
(DE)2 + (EF)2 = (DF)2, because 172 + 82 = 152
(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289
DE + EF = DF because, 172 + 82 = 152

Answers

using the Pythagorean Theorem

 a^2 + b^2 = C^2

 so correct answer is:

 (DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289


Answer:

(DE)2 + (EF)2 = (DF)2, because 64 + 225 = 289

Step-by-step explanation:

The equation of line p is y = 52x + 72. line q is parallel to line p. the slope of line q is?

Answers

line q would have the same slope as line p, in order to be parallel

If three times the supp. of an angle is subtracted from seven times the comp. of the angle, the answer is the same a that obtained by trisecting a right angle. Find the supplement.

Answers

Alright, let's start by giving some notation to "an angle." We'll use the Greek letter [tex]\theta[/tex] to denote it.

Next, we'll need to review a few definitions:

- Two supplementary angles add up to a straight angle, or 180°
- Two complementary angles add up to a right angle, or 90°
Trisecting an angle is splitting a larger angle into three equal smaller angles.

If we call [tex]\theta[/tex]'s supplement [tex]\beta[/tex] and [tex]\theta[/tex]'s complement [tex]\alpha[/tex], we know that:

[tex]\theta+\beta=180\\ \theta+\alpha=90[/tex]

or, if we want to put everything in terms of [tex]\theta[/tex]:

[tex]\beta=180-\theta\\\alpha=90-\theta[/tex]

We're given from the problem that [tex]3\beta[/tex] is being subtracted from [tex]7\alpha[/tex], which in terms of [tex]\theta[/tex] gives us:

[tex]7(90-\theta)-3(180-\theta)[/tex]

Next, we're told that this expression is equal to the angle obtained by trisecting a right angle. A right angle is equal to 90°, so trisecting it, we get the angle 90°/3 = 30°.

Putting everything together, we have:

[tex]7(90-\theta)-3(180-\theta)=30[/tex]

From there, solve for [tex]\theta[/tex], but remember that the question asks for the supplement of [tex]\theta[/tex], not [tex]\theta[/tex] itself. Fortunately, we have an equation from earlier for the supplement, [tex]\beta[/tex]:

[tex]\beta=180-\theta[/tex]

Simply put your result from solving for [tex]\theta[/tex] into that equation and solve, and you'll have your answer.

If a student scores a 17/35 on a test, what is their percentage on it?

Answers

17/35 = 0.485 rounds to 0.49 = 49%
17/35 (Divide)
= 0.485714285 (Answer)
=0.49 (Rounded)
49% (Converted answer)

how do you solve this 2 step equation: 9+9n=9

Answers

Move 9 over to the other side so your equation looks like this:
9n = 9 - 9
Then simplify
9n = 0
n = 0
Step 1: Move all terms not containing n to the right side of the equation.
Since 9 does not contain the variable to solve for, move it to the right side of the equation by subtracting 9 from both sides.

9n = −9+9
9n=-9+9
Add −9 and 9 to get 0.
9n=0

Step 2: Divide each term by 9 and simplify.
Divide each term in 9n = 0 by 9
9n=0 by 9.
9n/9=0/9

Step 3: Reduce the expression by canceling the common factors.
n=0/9
Divide 0 by 9 to get 0.
n=0

Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?
A. R=3 (s+t)
B. R=5s
C. R=5t
D.R=3(s+2r)

Answers


r=s+2t
s=3t
so R = 3T+2T=5T



Answer:the answer is C

Step-by-step explanation:

the area of one of the smaller circles is 8 pi in2. find the area of the shaded region

Answers

the answer is D. 16 pi

Answer:

D.

Step-by-step explanation:

If a bag contains 16 red,6 yellow, 24 blue, and 8 white ballons, what is the part-to-whole ratio of yellow ballons to all ballons

Answers

6/48
Or even just 8 when you divide it

The perimeter of triangle ABC is 54. The triangle has side lengths AB=3x, BC=4x, and AC= 5x. Find the length of each side.

Answers

54 = 5x+4x+3x

54= 12x

x= 54/12

x=4.5

AB= 3(4.5)
= 13.5

BC= 4(4.5)
= 18

AC= 5(4.5)
= 22.5

Hope I helped :)

Lannie order 12 copies of the same book for his book club members to build cost $19 each and the order has a $15 shipping charge what is the total cost of lannie's order

Answers


19 x 12 = 228

228 + 15 = $243

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Answers

x^2 + 6x = 7
Divide 6 by 2 and square the result and add to both sides of the equation.
6/2 = 3   3^2 = 9    x^2 + 6x + 9 = 7 + 9
x^2 + 6x + 9 = 16
(x+3)^2 = 16
x+3 = +- Sqrt 16) = +-4
x = -3+4 = 1
x = -3-4 = -7

howdy!!

yr answer is

A. {–7, 1} !!!

The figure in the picture is made up of 5 congruent squares. If the perimeter of the entire figure is 21.6 cm, find its area.

Answers

Perimeter is length plus width so use that to help you

What issues does a person "charged" with a crime typically have to deal with?

Answers

possible facing a jury and being healed in jail, hiring a layer and going to court
A person can be charged with a crime before they are arrested. So, if this happens, a judge will issue a warrant for the persons arrest. 

A wooden board is leaning against a house. the base of the board is 10 ft from the base of the house and the base of the board forms a 35 degree angle with the ground
so what is the length of the wooden board?

Answers

check the picture below.

make sure your calculator is in Degree mode.


In isosceles ∆ABC the segment BD (with D ∈ AC) is the median to the baseAC. Find BD, if the perimeter of ∆ABC is 50m, and the perimeter of ∆ABD is 40m.

Answers

See attachment.  It describes all of the conditions of the problem.

The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?

Answers

First you find out how much money is owed by the smith family for just the $0.50 per mile. You take the full owed amount and subtract the $560 to rent it which will give you with $790.00. Then you take 790 number and divide by .5 for $0.50. Your answer then would be 1,580. The smith family traveled 1,580 miles
Final answer:

The Smith family drove 1580 miles during their seven-day vacation in the rented recreational vehicle, calculated by subtracting the flat rental fee from the total cost, and then dividing by the cost per mile.

Explanation:

This question centers on simple algebra. To calculate the number of miles driven, you need to first understand that the total cost consists of a flat rental fee and the cost per mile driven. First, we take the total cost, $1350, and subtract the flat fee of $560 from it. This leaves us with $790.

We then divide that $790 by the price per mile, which is $0.50. The calculation would then be as follows: $790 ÷ $0.50 = 1580 miles. Therefore, the Smith family drove 1580 miles during their seven-day vacation in the recreational vehicle.

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If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2) = 12? (1 point)

Answers

There are 12 bacteria present in the sample after 2 hours.

Which one f the following would appear in the credits column of a bank statement for a checking account?

A. Bank fees
B. An ATM withdrawal
C. An online bill payment
D. A direct deposit

Answers

The direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.

What is direct deposit?

A direct deposit by a payer into a payee's bank account is referred to as a direct deposit. Businesses most usually use direct deposits to pay salaries and wages, and they are typically made through electronic funds transfers or physical deposits into a payee's bank account.

From the definition, the direct deposit is the amount which is deposited by the individual bank accounts.

A direct deposit would appear in the credit's column of a bank statement for a checking account.

Thus, the direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.

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Answer: A direct deposit



Step-by-step explanation:

A 6 pound bag of grass seed covers 2,000 square feet. How many pounds would be needed to cover 25,000 square feet? Round the answer to the nearest pound.

Answers

6/2000 = x / 25,000.....6 lbs to 2000 sq ft = x lbs to 25,000 sq ft
cross multiply
(2000)(x) = (6)(25,000)
2000x = 150,000
x = 150,000/2000
x = 75 <== 75 lbs

The diameter of a circle is 18 centimeters. what is the radius? d=18 cm give the exact answer in simplest form.

Answers

The diameter of the circle is 18 cm.

The radius is one half the diameter.
Therefore the radius is  18/2 = 9 cm

Answer: 9 cm

How long is the arc subtended by an angle of 9π/5 radians on a circle of radius 30 cm?
A) 9π
B) 27π
C) 54π
D) 108π

Answers

Answer:

54π

Step-by-step explanation:

54π is correct. (9π/5)(30)= 54π

The required length of an arc is 54π cm which is subtended by an angle.

What is an arc?

The arc is a portion of the circumference of a circle.

To find the arc length, we first need to find the circumference of the circle. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Plugging in the values given in the problem, we find that the circumference of the circle is C = 2π(30 cm) = 60π cm.

Then, to find the arc length, we need to find the fraction of the circumference subtended by the angle of 9π/5 radians.

The circumference of the circle is 2π radians, so the fraction of the circumference subtended by the angle of 9π/5 radians is (9π/5)/(2π) = 9/10.

Multiplying the fraction of the circumference subtended by the angle by the circumference of the circle, we find that the arc length is (9/10)(60π cm) = 54π cm.

Therefore, the correct answer is (C) 54π cm.

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