write the first 4 terms of the sequence defined by its given rule 5. f(1) = 7, f(n) = -4.f(n - 1) + 15

Write The First 4 Terms Of The Sequence Defined By Its Given Rule 5. F(1) = 7, F(n) = -4.f(n - 1) + 15

Answers

Answer 1

Answer:

The first 4 terms of the sequence are: 3, 9, 81, 6561

Step-by-step explanation:

We are given the following recursive function:

[tex]f(n) = [f(n-1)]^{2}[/tex]

And the following initial condition:

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

The second term of the sequence is:

[tex]f(2) = [f(2-1)]^{2} = f(1)^2 = 3^2 = 9[/tex]

The third term of the sequence is:

[tex]f(3) = [f(3-1)]^{2} = f(2)^2 = 9^2 = 81[/tex]

The fourth term of the sequence is:

[tex]f(4) = [f(4-1)]^{2} = f(3)^2 = 81^2 = 6561[/tex]

The first 4 terms of the sequence are: 3, 9, 81, 6561


Related Questions

Determine which choice best shows the distributive property of multiplication.

Question 2 options:

1 × 6 = 6


6 × 9 = 9 × 6


6 × (9 + 8) = (6 × 9) + (6 × 8)


6 × (9 × 8) = (6 × 9) × 8

Answers

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Find the size of angle XYZ

Answers

Answer:

66.4°

Step-by-step explanation:

From the question given above, the following data were obtained:

Adjacent = 6 cm

Hypothenus = 15 cm

Angle Y =?

Angle Y can be obtained by using the cosine ratio as illustrated below:

Cos Y = Adjacent / Hypothenus

Cos Y = 6/15

Cos Y = 0.4

Take the inverse of Cos

Y = Cos¯¹ 0.4

Y = 66.4°

Therefore, angle XYZ is 66.4°

Can some one help thanks

Answers

Answer:

y = 8

Step-by-step explanation:

First substitute x with 6 in the equation

2y + 1/3(6) = 18

Multiple 1/3 with 6, which is 2

2y + 2 = 18

Solve the equation by subtracting 2 from both sides

2y + 2 = 18

    - 2     - 2

You get 2y = 16, so you divide 2 frm both sides

You get y = 8

The answer would be A if I did my math correctly

Can I please have help real answers only

Answers

The purple dot goes in the 5. For the green dot count 3! Lines to the left (where there’s no numbers, that’s your left) and there it goes.

Answer:

Sure.

Step-by-step explanation:

ok, so you basically just count from 0 going left three spaces. and the same going 5 spaces. For positive numbers you go (starting at 0) from left to right. for negative numbers (starting from 0 on the line) you go right to left.

I will make a G for where the green dot goes and a P for the pink dot.

<--I--I--I--I--I--I--I--I--I--I--I--I--I--I--I--I-->

         P    G       0       3     5

Hope this helps.

- Mach Speed.

Find the area of this parallelogram.
1
1
1
1
8.7 cm
10.1 cm
16.9 cm​

Answers

Answer:

147.03 sq.cm.  

Step-by-step explanation:  

Equation for finding the area of a parallelogram:  

b·h=area

Equation for this parallelogram(you don't need the 10.1):

16.9·8.7=147.03

graph y-2=-3(x-4). please help me​

Answers

Y(-2) = 3 (x - 4)

Y = 3 (-2 - 4)

Y = 6 + 12

Y= 18

Please help me with this question.

Answers

Answer:

A. -g/-8

Step-by-step explanation:

Since there is a negative sign before the fraction -g/8, A would be the best choice because the negative on the problem given is the same as -g/-8. No matter if there's a negative sign before the fraction, both the denominator and numerator would still be negative.

Need help don’t know what to do I’m confused

Answers

Answer:

-x + y = 8

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

          = [tex]\frac{10-7}{2-(-1)} = \frac{3}{3} or 1[/tex]

slope = 1, m represents the slope

y - y1 = m(x - x1)

choose any point ( -1, 7 ) or ( 2,10 )

y - 7 = 1( x + 1 )

y - 7 = x + 1

-x + y = 8

a coach on a motorway is travelling at a constant speed . in ten minutes it travels 16 kilometer

work out its travells

20 minutes
please answer

30 minutes

50 minutes

1 hour

Answers

Step-by-step explanation:

10 minutes= 16km

20 minutes= 16x2 = 32km

30 minutes= 16x3 = 48km

50 minutes= 16x5 = 80km

60 minutes = 16x6 = 96km

I hope this helps, have a great day! :) -wilzW

I dont even know how to explain this, but please help

Answers

Both Px + Qy = R and Tx + Uy = V have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that x = 2 and y = 9 makes both equations true.

When you add these equations together, you get

(Px + Qy) + (Tx + Uy) = R + V

→   (P + T ) x + (Q + U ) y = R + V

so the first option is equivalent.

When you subtract the first equation from the second, you get

(Tx + Uy) - (Px + Qy) = V - R

→   (T - P) x + (U - Q) y = V - R

so the third option is also equivalent.

Solve using substitution.
4x – 7y = -18
x = 6

Answers

Answer:

6

Step-by-step explanation:

4(6) - 7y = -18

24 - 7y = -18

-7y= -42

y= 6

Answer: y=6

Step-by-step explanation:

4(6)-7y=-18

24-7y=-18 subtract 24 on both sides

-7y=-42 **then divide -7 on both sides**

and the answer is y=6

The Picture has the answers and the question.

Answers

Answer:

B

Step-by-step explanation:

233 + 628 I want this answer please
THX

Answers

Answer:

861

Step-by-step explanation:

Calculator

Answer:

861

Step-by-step explanation:

Shelby asked 15 of her friends to name their favorite ice cream flavor if Shelby choses one of her friends at random what is the probability that this friend's favorite flavor is either strawberry or vanilla?

Answers

Answer:

1

Step-by-step explanation:

The probability of an event occurring is the ratio of the possible outcome to the total outcome. In this case, 15 friends were chosen and the choices are either  strawberry or vanilla.

Since there are no other flavors, a friend picked at random will either pick strawberry or vanilla.

Therefore probability that this friend's favorite flavor is either strawberry or vanilla is 1.

Find the percent change from the first value to the second.

40; 70

Answers

Answer:

75%

Step-by-step explanation:

Answer:

75% increase

Step-by-step explanation:

two walls are 10 ft long and the other 2 walls are 7 ft long what’s the total square foot of the room

Answers

Answer:

70

Step-by-step explanation:

10 * 7 = 70 square ft

A study of a population of 3600 dogs found that 6 out of every 90 dogs have brown fur. Based on the results of this study, how many dogs in the population DO NOT have brown fur?

Answers

3600/90= 40 x 6 =240
3600 - 240 = 3360
3360 dogs in the population DO NOT have brown fur.

Find the slope of the line going through the points (-2,-3) and (-1,9)

Answers

Y2-y1/x2-x1
9-(-3)/(-1-(-2))
12/1=12, so the slope is 12

Manny bought a car for $32,985. Five years later, the car was worth $19,500. Find the percent of change in the value of the car.

Answers

Answer:

is 40.9

Step-by-step explanation:

The percent of change in the value of the car is 40.88%

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.

Percentage change = (32985-19500)/32985*100 = 40.88%

Hence, The percent of change in the value of the car is 40.88%

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ2

A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. x P(x) 1 0.10 2 0.30 3 0.40 4 0.20 What is the probability the baker will sell exactly one batch

Answers

Answer:

[tex]P(x = 1) = 0.10[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]

Required

Determine the probability of selling exactly 1 batch

This probability is represented with [tex]P(x = 1)[/tex]

From the table:

When x = 1; P(x) = 0.10

Hence:

[tex]P(x = 1) = 0.10[/tex]

In other words, the probability of selling exactly 1 is 0.10

What is the Percentage of 23000

Answers

Answer:

2300000%

Step-by-step explanation:

0.01 = 1%

1 = 100%

23000 X 100 = 2300000%

Hope It Helps

Find the area of the image below: (4 points)

01) 41 square units
2) 44 square units
3) 52 square units
4) 56 square units

Answers

Show us the image so I can answer the question.

Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?

Answers

Answer:

105 hopefully this helps you

please help me with this 100 points

Answers

Answer:

2m + 153.5

Step-by-step explanation:

Hey there

2m =  The word times means multiplication. So, multiply 2 and m.

153.5 = The phrase more than means addition. So, add 2m and 153.5.

hope it helped

Answer:

why would you lie about giving the points-

Step-by-step explanation:

Suppose restaurant​ A's chicken salad contains 6more grams of fat than restaurant​ B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56​,where xrepresents the number of fat grams in the restaurant​ B's chicken salad and x plus 6represents the number of fat grams in restaurant​ A's chicken salad.

Answers

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]

What is 20% of 80 I need help

Answers

Answer:

16

Step-by-step explanation:

20% = 0.2

80 x 0.2 = 16

Please mark me Brainliest :)

Answer:

16 is 20 percent out of 80

Step-by-step explanation:

If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys

Answers

Answer:

b right handed boys

Step-by-step explanation:

PLEASE PLEASE IM BEGGING HELP ME!! Translate this sentence into an equation.
72 is the product of 4 and Gail's score.
Use the variable g to represent Gail's score.

Answers

Answer: Translate this sentence into an equation. The product of Greg's age and 6 is 102. Use the variable g to represent Greg's age.

Ans :-g*6=102

Step-by-step explanation: hope it help

PLEASE MARK Me BRAINLYEST PLEASE!!! PLEASE!!!! I REALLY Need IT PLEASE!

Factor the common expression: 2x + 4 =

Answers

Answer:

2(x+2)

Step-by-step explanation:

Hope it helps you

Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither

Answers

Triangle ABC i believe

Answer:

abc

Step-by-step explanation:

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