f(n) = 2• (-3)^n

complete the recursive formula of f(n).

f(1) = ____
f(n) = f(n - 1) • ____

Answers

Answer 1

Answer:

[tex]f(1)=-6[/tex]

[tex]f(n)=f(n-1)(-3)[/tex]

Step-by-step explanation:

We are given that

[tex]f(n)=2\cdot (-3)^n[/tex]

We have to complete  the recursive formula of f(n).

Substitute n=1

[tex]f(1)=2\cdot (-3)[/tex]

[tex]f(1)=-6[/tex]

[tex]f(2)=2\cdot (-3)^2=18[/tex]

[tex]f(3)=2\cdot (-3)^3=-54[/tex]

[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]

[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]

It forms geometric sequence because the ratio of two consecutive terms are equal.

Therefore, the recursive formula

[tex]f(n)=f(n-1)r[/tex]

[tex]f(n)=f(n-1)(-3)[/tex]

Answer 2

Answer:

f(1) = -6

f(n)= f(n−1)⋅ -3

Step-by-step explanation:


Related Questions

SOMEONE ANSWER THESE ASAP

MARKING BRAINLIEST

PLEASE HELPPPPP

Answers

Sorry this took a while; calculated a lot of things.

Step-by-step explanation:

A.

Combined:

2.67 times 23.76 = 63.4392

2.67 times - 21 and 5/6 = -58.295

63.4392 - 31.85 -58.295 = -26.7058

If you mean do both separate:

63.4392 - 31.85 = 31.5892

-58.295 - 31.85 = -90.145

B.

Combined:

11 and 3/4 times 23.76 = 279.18

11 and 3/4 times 21 and 5/6 = 256.541666667

279.18 + 256.541666667 + 56 and 3/8 = 592.096666667

If you mean do both separate:

279.18 + 56 and 3/8 = 335.555

256.541666667 + 56 and 3/8 = 312.916666667

Determine if the triangles are congruent by HL, SAS, SSS, AAS, or
ASA

Somebody help please!!!

Answers

asa. the side is in the middle of the angles

On a loan of $4,500 for 2 1/2 years at 4% per year, how much do you wind up paying to pay off the loan?

Answers

4/100= x/4,500 18,000/100= $180x2.5= $450

Answer:

4,950

Step-by-step explanation:

4,500*.10=450

4,500+450=4,950

Hope this helps:)

Which is equivalent to 72 inches?
O A 0.72 yards
O B. 2 yards
O c. 6 yards
O D. 7.2 yards
O E. 36 yards

Answers

the answer is B because there is 36 inches in 1 yard

Answer:

Its 2 yards

Step-by-step explanation:

divide 72 by 36

Is the following triangle congruent by SAS, ASA, or SSS? Why?

Answers

Answer:

ASA

Step-by-step explanation:

As it is shown

m<A = m<Z

m<Y = m<C and

|YZ| = |AC| so the triangles are congruent by ASA

Help.Calculate the area of the trapezoid

Answers

Answer:

180 in²

Step-by-step explanation:

[tex]A_{trapezoid}[/tex] = [tex]\frac{b_{1} +b_{2} }{2}[/tex] h

Despite a wide variety of workplaces for those working in Human Services, all workplaces include

comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.

Answers

Answer:

a  variety of medical testing equipment.

Step-by-step explanation:

Answer:

c hope this helps if wrong please tell me

Step-by-step explanation:

4x=-20 solve for x show your work

Answers

Answer: x = 5

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

We have the expression 4x = -20 and are asked to solve x.

To solve, we need to isolate x.

4x = -20

Divide 4 :

x = -5

Help - I’m failing math and I might get held back so please just help

Answers

Answer:

[tex] \frac{y}{34} [/tex]

Step-by-step explanation:

Cosine is the adjacent side of the triangle divided by the hypotenuse.

The numerator is going to be the side adjacent to the angle 53

So the top number is y.

The hypotenuse is the side opposite of the right angle. So the bottom number is 34

Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest year.

Answers

Answer:

1432 years

Step-by-step explanation:

A(t) = I(0.5)^t/t1/2

Where t1/2 = half life = 1660

Final amount, A(t) = 0.55 of its original amount =. 0.55I

Hence, we have

0.55I = I(0.5)^t/1660

Take the log of both sides

Log(0.55) = log(0.5)^t/1660

t/1660 = log(0.55) / log(0.5)

t/1660 = 0.8624964

t = 0.8624964 * 1660

t = 1431.7441

t = 1432(nearest whole number)

HURRYYYY FASTTT

There are 16 fluid Ounces of juice in 2 bottles of your favorite juice. How many fluid Ounces are there in 10 bottles?
80 fluid Ounces
72 fluid Ounces
160 fluid Ounces
96 fluid Ounces

Answers

Answer:

80 fluid ounces

Step-by-step explanation:

16*5=80

Answer:

80 fluid Ounces

Step-by-step explanation:

I majored in Mathematics

The area of a rectangle is 2x^2-11x+15 square feet. The length of the rectangle
is 2x - 5 feet. What is the width of the rectangle?
A) W = x + 5
B) W = x-1
C) W = x-3
D) W = 2x-5

Answers

Answer:

A

Step-by-step explanation:

I need help, please solve this math problem. If you don't know the answer please don't answer. You will get reported.

Answers

Answer:

I believe it's A 2¹²

Step-by-step explanation:

The answer lies in the question itself.

In the equation, we have

3x - y = 12.

This means 3x = 12 + y.

We have to find 8^x/2^y.

8 can be written as 2^3. Therefore, 8^x = 2^3x.

But 3x = 12 + y, hence can be replaced.

Now we have, in the fraction, 2^(12 + y)/2^y.

This can be written as 2^(12 + y - y) = 2^12.

If $30,000 then is equivalent to $900,000;
then, what is $1 then equivalent to in today's
dollars?

Answers

Answer:

$30

Step-by-step explanation:

You need to figure out how the money changes between then and now. To do that, take now and divide it by then; 900,000/30,000 = 30, the amount now is 30 times that of then. To figure out what any amount then is worth now, multiply it by 30 and you'll get you answer. (In this case: 1*30 = 30)

For the equation 3(7+x)=3x+k, what value of k will create an equation with infinitely many solutions?

Answers

Answer: k = 21

Step-by-step explanation:

3(7 + x) = 3x + k

21 + 3x = 3x + k

21 + 3x - 3x = 3x + k - 3x

k = 21

-12x = 3(y - 3)

y = ___

Answers

A a. AAnswer:

kid thanks

Step-by-step explanation:  kk k k

Priya is making burgers for a party. She has 5 pounds of meat and uses 1/3 of a pound for one burger. How many burgers can priya make?

Answers

Answer: Priya can make 15 burgers with 5 pounds of meat

Step-by-step explanation:

Step 1

From Priya's receipe,

1 burger can be made from  1/3 of a pound of meat  

  How many burgers can be made from 5 pound of meat

Step 2 Using the equation below, that

1 burger = 1/3 pound of meat

Therefore 5 pounds of meat

5 x 1 / 1/3 = 5/(1/3)

= 5 x3 = 15 Burgers.

Need help ASAP please!!
Don’t know how to give brainliest sorry-

Answers

Answer:

32°

Step-by-step explanation:

All triangles must have a sum of 180°. Given the angle 58° and since this is a right triangle, we have 2 out of the 3 angles to work with.

90 + 58 + x = 180

x = 32

The sum of two numbers is 12. The product of those same two numbers is -64. Find the numbers.​

Answers

Answer: The answer for the 2 numbers are 16 and -4.

Step-by-step explanation: 16 + (-4) is 12, and 16 x (-4) is -64.

Find the area of each composite figure.

Answers

Answer:

89.14 Sq . meter

Step-by-step explanation:

Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :

4 metres × 16 metres

= 64 sq. meter

Area of semicircle :

(pi×r^2)/2

= {(22/7)× (8/2)^2}/2

= (22×4×4)/(7×2)

= 176/7

= 25.14 sq. meter

Now , area of whole figure= (64+25.14)sq. meter

= 89.14 sq. meter

In x^a=y, y^b=z, z^c=x, then prove that abc=1​

Answers

Step-by-step explanation:

Let, x^a =y......(1) and

y^b =z.....(2) and

z ^c =x......(3).

Now, using (1) in (2) we get,

x ^ab =z......(4).

Now, using (4) in (3) we get,

x ^abc =x

or, x ^abc =x ^1

or, abc=1.

Hope it will help :)

Step-by-step explanation:

hope the above solution will help you

Amy's fish tank has 16 liters of water in it. She plans to add 6 liters per minute until the tank has more than 88 liters. What are the possible numbers of minutes Amy could add water?

Answers

Answer:

12 minutes till 88 liters

Step-by-step explanation:

5. A ladder 17 m long reaches the window of a building 15 m above
the ground. Find the distance of the foot of the ladder from the
building
Hint. Let AB be the ladder, CB be the building and B be the
window.
15 m
Then, AB = 17 cm, BC = 15 m, find AC.)

Answers

Answer:

8 m.

Step-by-step explanation:

Use the Pythagoras theorem

17^2 = 15^2 + AC^2

AC^2 = (17-15)(17+15) = 2 * 32

AC^2 = 64

AC = 8 m.

In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the mints?

Answers

Answer:

Step-by-step explanation:

we will set up two equations:

let c be candy

let m be mints

3c+2m=10.80

c+3m=5.35, c=5.35-3m

3(5.35-3m)+2p=10.80

c=3.10

m=0.75

Let x be the cost of candy per pound and y be the cost of mint per pound.

[tex]\left \{ {{3x + 2y = 10.80} \atop {{x + 3y = 5.35}} \right.[/tex]

Rewrite the second equation for substitution:

x = 5.35 - 3y

Substitute the equation above into the first equation:

3(5.35 - 3y) + 2y = 10.80

16.05 - 9y + 2y = 10.80

-7y = -5.25

7y = 5.25

y = 0.75

∴ The price of mint per pound is $0.75.

i ready classroom grade 8 volume 1 mathematics

Can anyone help me with this asap !!!

Answers

Answer:

COCO is life

Step-by-step explanation:

COCO is = to food and water

And food of COCO contains 2grams

Water of COCO contains 10 liters

So add grams and liters together

And u get this

10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco

=coco 10274728l

Convert 60°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
c=5 (F 32)
F=ŚC+32

Answers

Answer:

the answer is 15.5⁰ Celcius

NEED HELP WITH THIS ASAP!!

Answers

The answer is A because , he spent 60$ for the party and then he wanted ppl over. 6$ per person, add six 10 times on top of the 60 and you get 126$ so, it’s going to be less than 11, there for, that is your answer.

GIVING BRAINLIEST AND 39 points I3. Pls help with all !Which cellular process occurs within the
organelle shown above? sc.8.L.18.2
A cellular respiration
B photosynthesis
C transport of phloem
D transport of xylem

Answers

2. Chlorophyll
3.B
4. B
5.C

the pythagorean theorem states that a^2 + b^2 = c^2 If A and B represent the length of the legs of a right triangle and C represents the length of the hypotenuse. Find the length of the hypotenuse Is the length of the legs are 9cm and 12cm.​

Answers

Answer:

25 or 50 points is that if 25 or 20 im not

Answer:

The hypotenuse equals 15cm

Find the value of x and y.

Answers

Answer:

This is a triangle with 2 equal angles and equal to 60

=> this is an equilateral triangle

=> y = 60

    4x.3 = 54

=> y = 60

    x = 54/12 = 4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

if two angles are 60 degrees, the third one is also 60 degrees

that means all the sides are equal

if one side is 4x

4x+4x+4x=54

12x=54

x=4.5

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