7,21,63
what’s the common ratio, recursive function, explicit formula, and the 12 term

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

The given sequence 7,21,63... is geomertic in nature

The nth term is expressed as;

Tn = ar^n-1

a is the first term = 7

r is the common ratio = 21/7 = 63/21  = 3

n is the number of terms

Substitute

Tn = 7(3)^n-1

For the 12th term, when n = 12

T12 = 7(3)^12-1

T12 = 7(3)^11

T12 = 7(177,147)

T12 = 1,240,029

Hence the 12th terms is 1,240,029

For the recursive function

First term = 7(1)

2nd term T2 = 21 = 7(3)

3rd term T3 = 63 = 7(9) = 7(3^2)

Tn = 7(3^n)

Hence the recursive function is 7(3^n)


Related Questions

ASAP 20 POINTS!!! Students just finished taking test and these are the scores: 75, 80, 62, 98, 90, 86, 55, 86, 92, 66. What is the mean of the scores?

83
86
79
43

Answers

Answer:

I do not understand the question?

Step-by-step explanation:

No growth industries pays out all of its earnings as dividends. It will pay its next four dollars per share dividend in the year. The discount rate is 15%. What is the price Earnings ratio of the company?

Answers

Answer:

the price earning ratio is 6.67

Step-by-step explanation:

The computation of the price earning per share is shown below:

As we know that

Price earning ratio = Current price ÷ earning per share

= ($4 ÷ 0.15) ÷ ($4)

= 6.67

Hence, the price earning ratio is 6.67

It shows the relationship between the current price and the earning per share

*PLEASE ANSWER!! ITS CONFUSING*
Tickets to the play on Saturday were $40.00. On Sunday they went on sale for 15% off. How much were the discounted tickets?

a.) $32.00 a ticket

b.) $39.00 a ticket

c.) $34.00 a ticket

Answers

Answer:

C

Step-by-step explanation:

40× 15 out of 100 =6

40-6=34

Answer:

c.) $34.00 a ticket

Step-by-step explanation:

Since you're trying to figure out how much a discounted ticket is you have to take the 15% off. So 15% of 40 is 6. Now take the 6 off of 40 (40-6) you will get 34. So the answer is $34.

I hope this helps!

how many games have the hawks played?

Answers

The Atlanta hawks home s held us consist of 41 regular season games and typically 2 to 3 preseason games.

3x + 3 = 129 what color​

Answers

Answer:

yellow

Step-by-step explanation:

the answers 42

do 129-3 then divide 127/3 to get x

Yellow the answer is 42 have a great day!

Work out the perimeter of an equilateral triangle with side length 2.7mm

Answers

Answer:

, so easy

Step-by-step explanation:

3×2.7mm=8.1mm

Answer:

8.1mm

Step-by-step explanation:

equilateral triangle all sides are equal.

If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm

Question 13
Find the angle between the given vectors to the nearest tenth of a
degree.
u= <8,4, v = <9.-9> (5 points)

Answers

Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees


Making a Mixture CoffeeAM sells chocolate-
covered blueberries for $10.95 per pound and
chocolate-covered strawberries for $13.95 per pound.
The company wants to create a mix of the two that
will sell for $12.95 per pound with no loss in revenue.
How many pounds of each treat should be used to
make 12 pounds of the mix?

Answers

Answer: 24lb

I think is the answer. Sorry if I am wrong.

Step-by-step explanation:

Which of these is the algebraic expression for "5 less than 6 times some number?" (1 point)

6t − 5
5t − 6
5 − 6t
6 − 5t
7.
(06.03 LC)
What is the constant term in the expression 10xy + 9x2y + 8x + 7? (1 point)

7
8
9
10

Answers

Answer:

6t-5

x should be the constant term. just guess

Answer:

I think the answer is 6t-5 I don't really know.

Step-by-step explanation:

5*4 3/10 pls answer I will mark you as brainliest ​

Answers

Answer:

5x4 x 3 /10

20x 3 /10

60/10

6

Answer:

Step-by-step explanation:

[tex]5* 4 \frac{3}{10}=5* \frac{(4*10)+3}{10}\\\\= 5*\frac{43}{10}\\\\= \frac{43}{2}\\\\= 21 \frac{1}{2}[/tex]

Between 9:00 a.m. and 10:20 a.m., 18,000 visitors
entered the Family Fun Amusement Park. Between
9:00 a.m. and 10:20 a.m., an average of how many
visitors per minute entered the park?

Answers

Answer: 225

Step-by-step explanation: 18,000 divided by 80 minutes wich is 1 hour and 20 minutes is 225

The average of visitors entry in park per minute is 225.

What is average?

A number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

Given,

Total number of visitors entered in park Between 9:00 a.m. and 10:20 a.m. = 18000

There is total of 80 minutes Between 9:00 a.m. and 10:20 a.m.

Average of visitors entry in park per minute =  [tex]\frac{18000}{80}[/tex]

= 225

Hence, average of visitors entry in park per minute is 225.

Learn more about Average:

https://brainly.com/question/24057012

#SPJ2

FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!

If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?

Answers

Answer:

a = 3

b = 5

c = -8

abc = -120

Step-by-step explanation:

Answer:

-120

Step-by-step explanation:

sorry just looked at the answer below *HAXZ*:)

At a hockey game, a vender sold a combined total of 187 sodas and hot dogs. The number of sodas sold was 57 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

x= # of sodas sold
x - 42 = # of hot dogs sold
x+x-42=202
2x = 244
x=122
122 sodas and 80 hot dogs

The whittendale family purchases a new refrigerator on a no interest for one year plan. The cost is $1,385. There is no down payment If they make a monthly payment of x dollars until the last month, express their last month's payment algebraically.

Answers

The answer is 1385-11x.

what is the slope of (-3,-6) and (4,7)​

Answers

Answer:

13/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-(-6))/(4-(-3))

m=(7+6)/(4+3)

m=13/7

Evaluate the expression 9z – 4 for z = 3.

Answers

Answer:

27 is the final answer

Step-by-step explanation:

9z-4=

9(3)-4=

27-4=

4/8x - 6 = -24 solve for x

Answers

Answer:

Step 1: Simplify both sides of the equation.

4/8x−6=−24

1/2 x+−6=−24

1/2 x−6=−24

Step 2: Add 6 to both sides.

1/2 x−6+6=−24+6

1/2x=−18

Step 3: Multiply both sides by 2.

2*( 1/2

x)=(2)*(−18)

x=−36

Answer:

x=−36

Find the value of x.

Answers

Answer:

[tex]x=64^{\circ}[/tex]

Step-by-step explanation:

We know that sum of angles of a quadrilateral is equal to 360 degrees.

It means,

[tex]\angle X+\angle Y+\angle Z+\angle W=360\\\\100+130+66+x=360\\\\296+x=360\\\\x=360-296\\\\x=64^{\circ}[/tex]

So, the value of x is equal to [tex]64^{\circ}[/tex].

How do you find the vertex

Answers

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).

which fraction is written in simplest form?

Answers

Answer:

C. and B.

Step-by-step explanation:

Hope this helps:>

Answer:

5/12

Step-by-step explanation:

11/22 becomes 1/2

18/24 becomes 3/4

5/15 becomes 1/3

De 40 estudiantes de undécimo grado, 14 toman clase de piano y 29 clases se violín.

a. Si cinco estudiantes toman ambas clases,¿ cuántos estudiantes no asisten a ninguna de las dos?

b. ¿cuántos estudiantes toman clase de piano o de violín?

c. cuántos estudiantes toman únicamente clases de violín?​

Answers

Puedes separar los grupos en:

los que solo toman clases de piano; p

los que solo toman clases de violin: v

los que toman clases de piano y violin; 5

A) para determinar cuántos estudiantes no toman ni piano ni violin, podemos hallar el número total de estudiantes que toman clases solo de piano y los que toman solo de violín y los que toman ambas clases, de la siguiente forma:

Estudian solo piano, p = 14 - 5= 9

Estudian solo violín, v = 29 - 5 = 24

Estudian ambos: 5

Total de estudiantes que toman clases de esos instrumentos : 9 + 24 + 5 = 38

Por tanto, hay 40 - 38 = 2 estudiantes que no toman clases de piano ni violín.

 

B) ¿cuántos estudiantes toman clases de piano o violín?

Son los que tocan solo piano, o solo violín o ambos y los  hallamos arriba:  9 + 24 + 5 = 38.

Respuesta: 38

C) ¿Cuántos estudiantes tocan solo violín?

También lo encontramos arriba: son 29 - 5 = 24

Respuesta: 24

brainliest give an explanation to

Answers

Answer:

70 caps, 72 hotdogs, 50 paintings, 8 scouts

Step-by-step explanation:

help me please-1 = (5 + x)/6

Answers

Answer:

x= -11 I hope this helps!

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

/=division

*=multiplication

-1=(5+x)/6

-1*6=(5+x)/6*6

-6-5=5+x-5

-11=x

Help please ill give 20 points

Answers

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

me ayudan por favor gracias​

Answers

Answer:

49/4

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

What is the equation of the following line? Be sure to scroll down first to see all answer options

Answers

Answer:

YOU GOT THIS!!

The answer is B. y = -6x

What is the prime factorization of 84?
a.2x3x7
b.2 then 2 to the second powerx3x7
c.2x3 to the second powerx7
d.2 to the second powerx21

Answers

Answer:

2*2*3*7

Step-by-step explanation:

Answer:

Step-by-step explanation:

I look at 84 and see that it will be divisible by 4

84/4=21

21=7*3

84=2^2 * 3 * 7

a 91.5 kg football player running east at 2.73 m/s tackles a 63.5 kg player running west at 3.09 m/s. what is their velocity afterward?

Answers

Answer:

2.88m/s

Step-by-step explanation:

By using the law of conservation of momentum

Initial momentum = final momentum

v = is their combined velocity afterwards

Solving equation (1) for v

V = 2.88 m/s

Therefore the velocity afterward is 2.88 m/s.

Answer:

0.348

Step-by-step explanation:

acellus

L2.10.2 Quir. Bisectors and Midsegments
The Dragram snOWS ARC When termes des point
M
O A. Circumcenter
O B. Incenter
O c. Centrold
O d. Orthocenter

Answers

The answer is B I think

3х – 8y = 34
7х + 4у = -34
Solve by elimination
Y and x
Please show steps ):

Answers

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

     17x= -34    divided by 17

       x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

   -8y= 40  divide by -8

      y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

-34 = -34

I hope this help sorry I'm not good explaining

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