2, 6, 18, 54. 162,...
The first five terms of a geometric sequence are given above.

Write a recursive function rule for the sequence.

a
f\left(n\right)=3f\left(n\right)+2

b
f\left(n\right)=2n

c
f\left(n\right)=3f\left(n-1\right),\ n1=2

d
f\left(n\right)=3n+2

Answers

Answer 1

9514 1404 393

Answer:

  [tex]\text{c. }f(n)=3f(n-1);f(1)=2[/tex]

Step-by-step explanation:

The first term is 2, so part of the recursive definition is ...

  f(1) = 2

The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...

  f(n) = 3·f(n -1)

These two parts of the definition match choice C.


Related Questions

For each ordered pair , determine wether it is a solution to y=6x+5

Answers

Answer:

1. no

2. no

3. no

4. yes

Step-by-step explanation:

1. Find x in the right triangle shown. Round your answer to the nearest tenth.
7
9
2.0
5.7
11.4
16.0

Answers

Answer:

well ya see ifjfbfhhdnsjdudhsbsjsjsnehdhsiwnshdjsjsh

I think the answer is 9

Evaluate the following equation for p:
-3p + 6 + 7p = 22

Answers

Answer:

4

Step-by-step explanation:

-3p+6+7p=22

-3p+7p=16

4p=16

p=4

Answer:

p = 4

Step-by-step explanation:

-3p+6+7p = 22

     -6         -6

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

-3p+7p = 16

4p = 16

---     ---

4       4

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

p = 4

2b-(3-b) + 4 = 11
I need to know how to show the work to get this answer

Answers

Answer:

10/3

Step-by-step explanation:

Simplifying 2b - (3-b) gives us:

2b - (3 - b) =

2b - 3 + b =

3b - 3

This makes our new equation:

3b - 3 + 4 = 11

Combine like terms

3b + 1 = 11

Subtract 1 from both sides

3b = 10

Divide both sides by 3

b = 10/3

The map shows Greece during the Peloponnesian War.How did Sparta benefit from its location during the Peloponnesian War?

Sparta had ample coastline for its substantial navy.
Sparta was located inland, protecting it from the Athenian navy.
Sparta was on the Aegean coast, protecting it from a land invasion.
Sparta was located on its own island far away from the members of the Delian League.

Answers

Answer:

The answer is b

Step-by-step explanation:

Hope i helped ^^

Somebody who know they math,help me!!!!!

Answers

Answer:-5 to -10 to 10 to 1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

For 100 points.


The multiplicative inverse of 5 and (10x + 15)

Answers

Answer:

Download Math-way

Step-by-step explanation:

type in the problem and it answers

Find the missing number so that the equation has infinitely many solutions.
3x + 9 =
x + 9 + x
What’s the answer?

Answers

3x + 9= 3 (x + 3)
x + 9 + x= 2x + 9

Answer:

x= 0 is correct.

Nancy and bill collect coins. Nancy has x coins. Bill has 9 coins fewer than four times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have.

Answers

Answer:

3x-9

Step-by-step explanation:

4x-9 = bill

x = nancy

4x-9+x = total

i stG

go home

take a nap

highly recommend

quit math class

drop out of school

gn boo

help please!!!!!!!!!!!!!!!!!!!!!!

Answers

The correct ones are:
The first one
The second on
The fifth one
The sixth one

Answer:

1 and 3

2 and 4

8 and 6

5 and 7

Step-by-step explanation:

:)

Solve the following absolute value equation. |-4x-2| = 10

Answers

Answer:

x=-3

Note:I'm not really an expert on math(Only some part of math/algerba )

Select ALL the true statements:
(See the screenshot please :) )

Answers

Answer:

B. Dilations of an angle are congruent to the original angle.

E. Dilations of a triangle can be similare to the original triangle.

Step-by-step explanation:

These both look like the only correct ones.

Hope it helps!

математика срочно пожалуйста​

Answers

Answer:

holais también tengo esa pregunta y no la e encontrado por ningún lado

Answer:

Здравствуйте, у меня тоже такой вопрос, нигде не нашел.

Step-by-step explanation:

cylinder has r = h and the radius is 4 cm. What is the volume?

Answers

Answer:

201.06 cm

Step-by-step explanation:

so if the radius and height is the same, height would be 4 cm.

volume formula for a cylinder: V=πr2h

answer: 201.06

Pls I need help this assignment is done before 11:59pm.

Solving systems of equations using substitution.

Can you also explain cause I didn’t understood that much.

Thanks.

Answers

Answers:

Blank 1 = 3Blank 2 = 3

In other words, x = 3  and y = 3

===========================================================

Explanation:

Let's solve the first equation for x. I'm picking on this equation variable because the coefficient is 1.

Solving for x leads to

x-2y = -3

x = -3+2y

I added 2y to both sides

Now we'll plug this into the other equation. This means we replace every copy of x with -3+2y since they are the same thing.

3x + 5y = 24

3( x ) + 5y = 24

3( -3+2y ) + 5y = 24 .... replace x with -3+2y

3(-3) + 3(2y) + 5y = 24 .... distribute

-9 + 6y + 5y = 24

11y-9 = 24

11y-9+9 = 24+9 ...... adding 9 to both sides

11y = 33

11y/11 = 33/11 .... dividing both sides by 11

y = 3

We'll use this y value to find x. We can pick on any equation with x & y in it, but I find it's easiest to use the equation where x is isolated

x = -3+2y

x = -3+2(3) .... replace y with 3

x = -3+6

x = 3

So both x and y are equal to 3

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

Let's check the answer

Plug (x,y) = (3,3) into the first equation. We should get the same number on both sides after simplifying fully

x-2y = -3

3 - 2(3) = -3

3 - 6 = -3

-3 = -3

So far, so good. Let's try the other equation

3x + 5y = 24

3(3) + 5(3) = 24

9 + 15 = 24

24 = 24

The other equation is true as well. This fully confirms that (x,y) = (3,3) is the solution to this system of equations. If you graphed each original equation, you should find they cross at the location (3,3).

Side note: it won't always be the case that x and y are the same value.

Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts early and is already on page 40.

Answers

Answer:

im not sure what the question is but.....

Step-by-step explanation:

It would take Ashley 4 days to reach page 40, while it would take Carly 5 days to reach page 40.

Please follow me!!! i would really appreciate it. :) Have a great day!!! Hope this helps you!!! :)

may someone help me ASAP?! 24x^4+92x=11x

Answers

Answer:

x=0 or x= -3/2

Step-by-step explanation:

Step 1: Subtract 11x from both sides.

24x4+92x−11x=11x−11x

24x4+81x=0

Step 2: Factor left side of equation.

3x(2x+3)(4x2−6x+9)=0

Step 3: Set factors equal to 0.

3x=0 or 2x+3=0 or 4x2−6x+9=0

x=0 or x= -3/2

Write an equation in point-slope form of the line that passes through the point (0, 2) and has a slope of m = 4.
PLZZZ!

Answers

Answer:

Y-2=4(x-0)

Step-by-step explanation:

Y-y1=m(x-x1)

(0,2)=(x1,y1) m=4

( Please help me on this question, thank you! )
( I failed my last unit test, so that is why I'm asking. )
( Thank you again, <3 )

...............................................................................................................................................
Pranza plotted point A in the coordinate plane below.
On a coordinate plane, point A is 0.75 units to the right and 0.5 units down.
She says that the plotted point is (One-fourth, negative one-half). What is Pranza’s error?

A.) The x- and y-coordinates are switched.
B.) Both coordinates should be positive.
C.) The x-coordinate should be Three-fourths.
D.) The y-coordinate should be One-half.

Answers

Answer:

C. The x-coordinate should be Three-fourths.

Step-by-step explanation:

Since point A is 0.75 units to the right, it is 3/4 if 4/4 is 100.

Answer:

C. The x-coordinate should be Three-fourths.

Step-by-step explanation:

hope this helps <3

(x + 2)(x2 + 5x + + 1)

Answers

Answer:

[tex] {x}^{3} + 7 {x}^{2} + 11x + 2[/tex]

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

A circle with radius of 2 cm sits inside a circle with radius of 4 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
2 cm
4 cm

Answers

I just multiplied the both radius by each other. And that's 2cm × 4cm= 8cm

PLEASE HELP Jaycie has a vip membership to a movie theater, so she pays 27 a year and 6$ for each movie she sees. claire doesnt have a membership so she pays 8.25$ each movie she sees. how many movies would they have to see in a year in order to pay the same amount that year?

Answers

Answer:

21

Step-by-step explanation:

you gave me free points why thank you

cual es la simplificacion de 72/48​

Answers

Answer:

3/2 Alli esta ojala que ayude

Answer:

1 1/2

~

Para encontrar la respuesta, reduzca la expresión, si es posible, cancelando los factores comunes, para obtener la respuesta:

1 1/2 or  [tex]1\frac{1}{2}[/tex]

~

To find the answer, reduce the expression, if possible, by canceling the common factors, to get the answer:

1 1/2  or [tex]1\frac{1}{2}[/tex]

Quick I need help: Sunny earns $18 per hour delivering cakes.She worked for x hours this week.Unfortunatly,she was charged $10 for a late delivery on Tuesday.How much money did sunny earn this week ?wriite your answer as an expression

Answers

18x - 10
There is no way to find out how many hours she worked so the answer is an expression. An expression has no equal sign.

Find the product.

(-2x 2)3 ·3x

Answers

Answer:

-15x

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

A line passes through (0,1) and (-6,4) what is the slope of the line?

Answers

Answer:-5/6x

Step-by-step explanation:

Ashley has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs 45 points for a free movie ticket. How many visits must Ashley make to earn a free movie ticket?

Answers

Answer:

8 visits

Step-by-step explanation:

Hope this helps!!

Answer: 8 visits

Step-by-step explanation:

You can just make an equation.

25+2.5x=45

Subtract 25 from both sides.

2.5x=20

Divide both sides by 2.5.

x = 8

Which transformations were used to create triangle J'K'L'?
Y 4
10-
dilation by a scale factor of and a reflection
across the y-axis
8
6
4
dilation by a scale factor of 2 and a rotation
of 90° clockwise about the origin
2
2
2
-6
10-8
g
10
-4 1-2 ol
-2
dilation by a scale factor of and a reflection
K.4
across the x-axis
-6
-8-
dilation by a scale factor of 2 and a rotation
of 90° counter-clockwise about the origin
-10-

Answers

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Can anybody help me with this ?

Answers

Answer:

1st scenario: 163.3°

2nd scenario: 125.2°

3rd scenario: 142.3°

Step-by-step explanation:

1st scenario: angles 1 and 2 form a linear pair and add up to 180

2nd scenario: angles 1 and 4 are same-side interior and add up to 180

3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3

help me pls i don't know

Answers

Answer: so the a is 4 and the b is 3

that means you have to write 6+1+1 and that equals 8.

your answer is 8

Step-by-step explanation:  in order to get that you have to replace a with 4 and b with 3, if you do you will see that they are simplified to 1. so if you add that the answer is 8. i hope this helped.

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