A sequence can be generated by using fn = 2f(n-1)+1, where f1 = 4 and n is a whole number greater than 1. What are the first four terms in the sequence?

Answers

Answer 1

Answer:

{9,19,39,79}

Step-by-step explanation:

Recursive Sequences

The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:

f(n) = 2f(n-1)+1

f(1) = 4

To find the first four terms of the sequence, we set n to the values {2,3,4,5}

For n=2

f(2) = 2f(1)+1

Since f(1)=4:

f(2) = 2*4+1

f(2) = 9

For n=3

f(3) = 2f(2)+1

Since f(2)=9:

f(3) = 2*9+1

f(3) = 19

For n=4

f(4) = 2f(3)+1

Since f(3)=19:

f(4) = 2*19+1

f(4) = 39

For n=5

f(5) = 2f(4)+1

Since f(4)=39:

f(5) = 2*39+1

f(5) = 79


Related Questions

choose 3 decimals that are greater than 1⁄2, but less than 1

Answers

Answer:

0.6 ; 0.7 ; 0.8

Step-by-step explanation:

Change all numbers given to decimals:

1/2 = 0.5

1 = 1.0

Any number that fits x in 0.5 < x < 1.0 is your answer.

Answer choices:

0.6

0.7

0.8

etc.

~

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

1/2 is 0.5 in decimal form. So, decimals that are greater than 0.5 but less than 1 are:

0.6, 0.7, 0.8, and 0.9 etc.

Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32

Answers

x2+12x+32

Factor out 2 from the expression

2(x+6x+16)

Collect like terms

2(7x+16)

Now we do the same thing only different way ok

x+6x

If a term doesn't have a coefficient , it is considered that the coefficient is 1

1x+6x

Collect like terms by adding their coefficients

(1+6)x

Add the numbers

7x

1+6=7

To add the numbers using a number line, start from zero.

Since 1 is positive, move the point 1 unit to the right.

Since 6 is positive, move the point 6 units to the right

The result is 7

Answer : 2(7x+16)

That's it . Hope it  wasn't too hard to understand?

Please give me as brainliest

-c + 5d + 7c - 11d + d - 3c

Answers

The anwser is -4c + 2d

Answer:

3c-5d

Step-by-step explanation:

HELPP ASAP!! PLS BE SURE THAT THE ANSWER IS CORRECT

Answers

2 inches squared I think

what is the slope of the line that goes through the points (2,-1) and (6,1)

Answers

Answer: The slope is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].

2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].

3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].

4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $5. What is the regular price of the mirror?

Answers

Answer:

25 dollars

Step-by-step explanation:

If 20 percent of the initial price was 5, you can create the equation:

0.2x=5, with x being the regular price.

Multiply both sides by 5:

x=25

Answer:

25$

Step-by-step explanation:

20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5

5 times 5 is 25

25$ was the original price

What is the sales tax on a chair with a price tag of $180, if the tax rate is 5.75%?

Answers

Answer:

$190.35

Step-by-step explanation:

180 ⋅ 0.0575 = 10.35

Add 180 to 10.35

$190.35

(I could be wrong. Sorry if I am)

Hope I helped :)

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The difference between a number x and 17 is 24.

Answers

Answer: X=7

Step-by-step explanation: X+17=24 subtract 17 from both sides and you would get X=7

Point A is at (-6,8) and point M is at (0,0.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answers

Answer:

(6,-7)

Step-by-step explanation:

the coordinates of point B are (6-7)

Answer:

the first answer is right

Step-by-step explanation:

Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.

Answers

Answer:

y=2x+3

step explanation:

You buy a gallon of milk. How many cups can you pour from it?

Answers

Answer: 16 cups!

Step-by-step explanation: Hopefully this helped :D

Answer:

16

Step-by-step explanation:

Step 1:

1 gallon = 16 cups     Conversion

Answer:

16 cups

Hope This Helps :)

A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase

Answers

Answer:

132 tiles

Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

The equation is represented as:

$17.82 + $4 × x = $545.82

17.82 + 4x = 545.82

Collect like terms

4x = 545.82 - 17.82

4x = 528

Divide bother sides by 4

4x/4 = 528/4

x = 132

The number of ceramic tiles the contractor bought = 132 tiles

Hannah bought a sweater on sale for $24. If that was a fourth of the original price what is the original price?

Answers

Answer: 6$

Step-by-step explanation:

well 24 * 4 is 96. so $96

what is the constant of proportionality of p=5a

Answers

Answer:

=5x

Step-by-step explanation:

your question might have a different variable witch is the letter at the end

(I WILL GIVE BRAINLYIST)

A student solves the inequality -50 > 55. Each step in the student's solution is shown below. Identify where the student made any errors. ​

Answers

Answer: pick b

Step-by-step explanation:

Answer:

Step 2 and 3

Step-by-step explanation:

:)

w over 5 = 3
w = ?
needs sum help​

Answers

Answer:

w=15

Step-by-step explanation:

Solve for  w  by simplifying both sides of the equation, then isolating the variable.

The third-grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade.

Answers

whats the question you only stated the problem

Answer:Not exactly sure what the question is but...

Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.

Hope this helps

Multi-step equations
20) -5(1 - 5x) + 5(-8x - 2) = -4x - 8x

Answers

Answer: x = -5 because I isolated the variable
-5 + 25x - 40x - 10 = -4x - 8x
-15x - 15 =-12x
-15 x + 12x = 15
-3x = 15
x = -5

An ant with a mass of 4 x 10-6 kg is carrying a bread crumb back to its anthill . The bread crumb has a mass of 8 x 10-5 kg. The mass of the bread crumb is how many times the mass of the ant?​

Answers

Answer:

Mass of bread crumb is 20 times the mass of the ant..

Step-by-step explanation:

Mass of an ant = [tex]4\times 10^{-6}[/tex] kg

Ant carries a weight of bread crumb to its anthill.

Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg

Ratio of their masses,

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]

Mass of the bread crumb = 20×(Mass of the ant)

Therefore, mass of the bread crumb is 20 times the mass of the ant.

One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $5, compute the player's expectation. (Round your answer to two decimal places.)

Answers

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let X = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

[tex]E(X)=\sum X\cdot P(X)[/tex]

        [tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]

Thus, the player's expectation is a loss of 20 cents.

Which description could be written as a linear function?
a) eight more than twice a number
b) three more than the product of two numbers
c) ten more than the square of a number
d) nine more than one divided by a number

Answers

Question:

Which description could be written as a linear function?

Answer:

Option a)

Explanation:

Let 2 numbers be x1 and x2.

For the first option:

Eight more than twice a number.

The graph would be y = 8 + 2x1 which is a linear function.

For the second option:

Three more than the product of two numbers.

The graph would be y = 3 + x1x2 which is a graph function.

For the third option:

Ten more than the square of a number.

The graph would be y = 9 + (x1)² which is a graph function.

For the fourth option:

Nine more than one divided by a number.

The graph would be y = 9 + 1/x1 which is a double-parabole function.

Hopefully this answer will help you.

Answer: option a

Step-by-step explanation:

Just took the test

what is 1/2- 1 and 1/5​

Answers

Answer:

-0.7 is the answer to your question

Answer:

Answer:

-0.7 is the answer to your question

Step-by-step explanation:

Together, Linda and Penny sold 492 boxes of Girl Scout cookies. Penny
sold 48 more boxes than Linda. How many boxes did Linda sell?

Answers

Answer:

222

Step-by-step explanation:

Let L = number of boxes Linda sold.

Let P = number of boxes Penny sold.

The sold a total of 492 boxes.

L + P = 492

Penny sold 48 more boxes than Linda.

P = L + 48

Substitute P with L + 48 in the first equation and solve for L.

L + L + 48 = 492

2L + 48 = 492

2L = 444

L = 222

Answer: Linda sold 222 boxes.

Check:

Penny sold 48 more boxes, so she sold 222 + 48 = 270.

Add the numbers they sold: 222 + 270 = 492

The difference is 48, and the total is 492. Our answer is correct.

find the exact values of the following, giving your answers as fractions.

Giving brainliest to the first person to get all right :)

Answers

Answer:

Step-by-step explanation:

The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.

[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]

Do that for the next 2:

[tex]4^{-3}=\frac{1}{4^3}=\frac{1}{64}[/tex]

and

[tex]2^{-6}=\frac{1}{2^6}=\frac{1}{64}[/tex]

Think About the Process The length of a rectangle is twice the width. The area of the rectangle is 9

square units. Notice that you can divide the rectangle into two squares with equal area. How can you

estimate the side length of each square? Estimate the length and width of the rectangle.

Answers

Answer:

The side length of each square is 2.12 units.

The length ad width of the rectangle are 2.12 and 4.24 units

Step-by-step explanation:

Let the width of the rectangle is x,

So, the length of the rectangle is 2x.

Area of the rectangle = 9 sq. units

[tex]9 = 2x \times x[/tex] [as area = length x width]

[tex]\Rightarrow 9 = 2x^2[/tex]

[tex]\Rightarrow x^2 = \frac{9}{2}=4.5[/tex]

[tex]\Rightarrow x = 1.5\sqrt{2}=2.12[/tex] units

So, width of the rectangle, x= 2.12 units and

the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.

After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.

The area of the rectangle = 9/2=4.5 square units.

Let a be the length of the sides of the square, so

Area [tex]= a^2[/tex]

[tex]\Rightarrow a^2=4.5[/tex]

[tex]\Rightarrow[/tex] [tex]a = 1.5\sqrt{2}=2.121[/tex]

Hence, the side length of each square = 2.12 units.

Can someone help with this?

Answers

Answer:

B

Step-by-step explanation:

Because it has to be less than or no more than $100

Answer:

8=D

Step-by-step explanation:

Figure B is a scaled copy of Figure A. Select all of the statements that must be true:

Figure B is larger than Figure A.

Figure B has the same number of edges as Figure A.

Figure B has the same perimeter as Figure A.

Figure B has the same number of angles as Figure A.

Figure B has angles with the same measures as Figure A.

Item at position 2
ANSWER QUICKLY PLEASE

Answers

Answer:

Same number of edges

Same number of angles

Angles woth same measures

x+7<13.
^^^^^ answer please & show work .

Answers

Step-by-step explanation:

Please can anyone explain it’s due In 30 mins

Answers

Answer:

Step-by-step explanation:

1) h(t) = 5t + 10

2) plugging in t as 12 to our function, h(12) = 5 * 12 + 10 = 70

3) h(5) = 35 is the function representing the height, 35 feet, travelled in a period of time, 5 seconds.  

HELP PLEASE IM ON THE EDGE OF FAILING

Answers

Answer:

65

Step-by-step explanation:

because at the top it is 65 so at the bottom its....

Answer:

80°

Step-by-step explanation:

Add 65° and 35° together to get 100°

The angles must equal 180° to make a triangle.

180° - 100° = 80°

Hope I helped :)

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