Given the recursive formula below, what are the first 4 terms of the sequence?

image

Question 3 options:


A)


17, 19, 21, 23


B)


17, –6, –3, 0


C)


17, 13, 9, 5


D)


17, 15, 13, 11

Given The Recursive Formula Below, What Are The First 4 Terms Of The Sequence?image Question 3 Options:A)

Answers

Answer 1

Answer:

D)

17,15,13,11

Step-by-step explanation:

From the formula

[tex]f(n) = f(n - 1) - 2 \\ f1 = 17 \\ [/tex]

we can deduce the next three terms as follows:[tex]f(2) = f(2 - 1) - 2 \\ f(2)= f(1) - 2 \\ f(2) = 17 - 2 \\ f(2) = 15\\ [/tex][tex]f(3) = f(3 - 1) - 2 \\ f(3)= f(2) - 2 \\ f(3) = 15 - 2 \\ f(3) = 13\\ [/tex][tex]f(4) = f(4 - 1) - 2 \\ f(4)= f(3) - 2 \\ f(4) = 13 - 2 \\ f(4) = 11\\ [/tex]Hence the sequence is; 17, 15, 13, 11,...

Related Questions

Hello Please Find The Answer To This Question (easy) Part 2

Answers

Answer:

y=[tex]-\frac{1}{6}[/tex]x-2

Step-by-step explanation:

by using this website

its a graphing calculator

desmos. com/calculator

What is the slope of the line that
passes through these two points?
(-1,4)
(2, 2)
slope
Remember, given two points,
(x1.yu)
(x, y
Slope
rise (y2-yı)
run (x2-1)

Answers

Answer:

slope= -2/3

explanation: 2-4/2+1

slope =-2/3
explanation. bc i sadi

Which type of individuals within a species is most likely to survive and reproduce.
A. The best camouflaged against predators.
B. The most intelligent.
C. The strongest.
D. The best adapted to their environment.

Answers

Answer:

B.

Step-by-step explanation:

if smart, they can hide

please anwers
500x4-8/2

Answers

Answer:

the answer for 500×4-8/2 is 1996

how many different roots does the polynomial function have y = (x-2)(x+3)^2 have

Answers

Answer:

[tex]x=2,-3[/tex]

Step-by-step explanation:

Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].

[tex](x-2)(x-3)^22=0[/tex]

Solve for [tex]x[/tex].

If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].

[tex]x-2=0\\(x+3)^2=0[/tex]

Set the first factor equal to [tex]0[/tex] and solve.

Set the first factor equal to [tex]0[/tex].

[tex]x-2=0[/tex]

Add [tex]2[/tex] to both sides of the equation.

[tex]x=2[/tex]

Set the next factor equal to [tex]0[/tex] and solve.

Set the next factor equal to [tex]0[/tex].

[tex](x+3)^2=0[/tex]

Set the [tex]x+3[/tex] equal to [tex]0.[/tex]

[tex]x+3=0[/tex]

Subtract [tex]-3[/tex] from both sides of the equation.

[tex]x=-3[/tex]

The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.

[tex]x=2,-3[/tex]

how many gallons are in 8 1/4?

Answers

The total number of gallons in 8.25 quartz is 2.0625 gallons

Conversion of gallons to quartz

According to the given question, we are to convert 8 1/4 quartz to gallons

According to the standard conversion

1 gallons = 4 quarts

x = 8.25 quartz

Take the ratio

1/x = 4/8.25
4x = 8.25

x = 8.25/4

x = 2.0625 gallons

Hence the total number of gallons in 8.25 quartz is 2.0625 gallons

Learn more on gallons to quartz here: https://brainly.com/question/898411

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A bucket holding several inches of water was placed under a leaking faucet. Water leaked into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour. The equation y=2x+4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket. What does the number 4 in the equation represent? A total of 4 inches of water leaked into the bucket. The bucket initially held 4 inches of water. The water level decreased by 4 inches per hour. The water level increased by 4 inches per hour.

Answers

The number 4 represents the initially held water of the bucket. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bucket holding several inches of water was placed under a leaking faucet.

Water leaking into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour.

The equation y = 2x + 4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket.

Then the number 4 in the equation represents.

The number 4 represents the initially held water of the bucket.

More about the linear system link is given below.

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help please i need help

Answers

Answer: it will be A And D

Step-by-step explanation:

30 POINTS!!!!! (answer with work please)

1) A cone with volume 1350 m³ is dilated by a scale factor of 1/3. What is the volume of the resulting cone?

2) The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.

Answers

Answer: The answer is 50 m³.

Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume  1350 m³.

The volume of a cone with base radius 'r' units and height 'h' units is given by

[tex]V=\frac{1}{3}\pi r^2h.[/tex]

Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write

[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]

⇒ [tex]\pi r^2h=4050.[/tex]

Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.

Therefore, the volume of the dilated cone will be

[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]

Thus, the volume of the resulting cone will be 50 m³.

Determining Continuity
Use the graph to answer the question.
Using limits, for which value of x is the function
continuous? Check all that apply.
-2
-1
0
3
5

Answers

Answer:

A, C, E

Step-by-step explanation:

i got the question wrong so yall could get it right

The polygons are similar but not necessarily drown to scale. What is the value of x?

Answers

Answer: 38

Step-by-step explanation:

Since the polygons are similar, the corresponding sides are all in the same proportions.

x-2/4.5 = 16/2 = 48/6

Solving for x

[tex]\frac{x-2}{4.5}=\frac{48}{6}[/tex]

[tex]\frac{x-2}{4.5}=8[/tex]

[tex]\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5[/tex]

[tex]x-2=36[/tex]

[tex]x-2+2=36+2[/tex]

[tex]x=38[/tex]

Therefore, the value of x is 38

In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?

Answers

Answer:

0.07%

Explanation:

I helped somebody else with the same question! haha

Alex has already saved $500 this summer. He wants to save at least $700. Create an inequality to show the amount of money, m. Alex still needs to save​

Answers

Answer:

$200

Step-by-step explanation:

$700

-$500

$200

Therefore Alex needs to save $200 more to get the $700

Given the tree concentric circles, with radius 1 unit, 2units, 3 units, do the following

Answers

For the 3 circles, in increasing order of the radius, we have:

L₁ = 2.09L₂ =  4.18L₃ = 6.28How to get the arc lengths of the circles?

For a circle of radius R, the arc defined by an angle θ (in degrees) is given by:

L = (θ/360°)*2pi*R

Where pi = 3.14

In this case, we have 3 circles of different radius, and θ = 60°, then we have:

circle 1:

radius = 1 unit, then:

L₁ = (60°/180°)*2*3.14*1 = 2.09

circle 2:

radius = 2 units, then:

L₂ = (60°/180°)*2*3.14*2 = 4.18

circle 3:

radius = 3 units, then:

L₃ = (60°/180°)*2*3.14*3 = 6.28

If you want to learn more about circles:

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Find the value of log1/1000

Answers

just do it with a calculator the answer is -3

Answer:

-3

Step-by-step explanation:

log (1/1000)

log ( 10^-3)

= -3

To solve a system of equations, you cannot replace a variable with an equal value or expression

Answers

Answer: This is FALSE, you can replace a variable with an equal value or expression

Step-by-step explanation:

If you can substitute an unknown variable with another equal expression, you can then solve for another variable, and with that equal expression, solve for the first variable.

Learn more here: https://brainly.com/question/23533399

Solve the following expression for t select all that apply
A:9
B:42
C: 45
D: t+3=45

Answers

Answer:

Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])

Step-by-step explanation:

Step 1:  Multiply both sides by 15

[tex]\frac{t + 3}{15} = 3[/tex]

[tex]\frac{t + 3}{15} * 15 = 3 * 15[/tex]

[tex]t+3=45[/tex]

Step 2:  Subtract 3 from both sides

[tex]t + 3 -3 = 45 -3[/tex]

[tex]t = 42[/tex]

Answer: Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])

Here my Answer :)))))))

How close together can two prime numbers be if they are both greater than 5? Why can they not be closer?​

Answers

Answer:

2 numbers apart (17 and 19)

Step-by-step explanation:

Eaxh other number is even, and 5, 3, and 9 are sometimes not prime. 1 is prime though.

Hope this helps!

Natalie was asked to find the angle measures of a triangle that has the ratio 1:3:5 . Natalie made a mistake in her work. Find the mistake and correct it.

Answers

16.7 because is smal nambar

solve using elimination
3x-y=17-x+y=-7

Answers

Answer:

x=5

Step-by-step explanation:

.

PLEASE HELP ME IGIVE YA'LL 12 POINTS PLEASE HELP ME


Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.


1. x2 + 6x - 7


2. x2 - 5x + 6


3. x2 - 6x - 7


4. x2 + 5x - 6


5. x2 + x - 12


6. x2 - 2x - 8


7. x2 - 4x - 5


8. x2 + 2x - 3


9. x2 - 16


10. x2 - x - 12


11. x2 -9x + 18


12. x2 -5x - 14


13. x2 - 7x + 10


14. x2 -11x + 24


15. x2 - x - 30

Answers

Here is an example from question 1.

This is the diamond method and helps before you can do it in your head after a bit of practice.
Hope it helps!

Answer:

Step-by-step explanation:

1. x2 + 6x - 7

2. x2 - 5x + 6

3. x2 - 6x - 7

4. x2 + 5x - 6

5. x2 + x - 12

6. x2 - 2x - 8

7. x2 - 4x - 5

8. x2 + 2x - 3

9. x2 - 16

10. x2 - x - 12

11. x2 -9x + 18

12. x2 -5x - 14

13. x2 - 7x + 10

14. x2 -11x + 24

15. x2 - x - 30

what is the remainder for the synthetic division problem? (image attached)​

Answers

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

*BRAINLIEST* (EASY QA: Warm UP) Find a positive solution to each equation: x2 = 1/4

A.
x = 1

B.
x = 4

C.
x = 1/2

D.
x = 1/4

E.
No positive solution

SHOW EXPLANATION FOR BRAINLIEST

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's get it solved :} [/tex]

[tex] \sf{x² = \dfrac{1}{4}} [/tex]

[tex] \sf{x = \sqrt{\dfrac{1}{4}}} [/tex]

[tex] \sf{x= \pm{\dfrac{1}{2}}} [/tex]

[tex] \sf{x ={\dfrac{1}{2}} } [/tex]

[tex] \textsf{[ since we need positive solution ]} [/tex]

[tex] \textsf{Correct choice is C} [/tex]

Answer:

C. x = 1/2

Explanation:

[tex]\sf \rightarrow x^2 = \dfrac{1}{4}[/tex]

[tex]\sf \rightarrow x=\sqrt{\dfrac{1}{4}},\:x=-\sqrt{\dfrac{1}{4}}[/tex]

[tex]\sf \rightarrow x=\dfrac{1}{2},\:x=-\dfrac{1}{2}[/tex]

As asked for positive solution (+)

[tex]\sf \rightarrrow \sf \rightarrow x=\dfrac{1}{2}[/tex]

How did the x value change if it went from 4 to 6?

Answers

the x value changed by 2

A musician uploads a music video to the Internet and sends a link to the video to 4 friends. Each friend then sends the link to 4 different friends. These 4 friends then send the link to 4 different friends. The musician estimates that about 25% of the people who get the link won't view the video. Complete and evaluate an expression to show how many friends the musician estimates will see the video.

The expression is 43 − (43 ×
).

So, the musician estimates that
people will see the video.

Answers

Answer:

the answer is 43-43x

Step-by-step explanation:

I don't know if that was the answer that you where looking for. respond  to my answer if this did or not help you.

Provide the reflected ordered pair for each of the given ordered pairs.

Answers

Answer:

so i have a little trick for you.  Reflecting across the x axis is just turning (x,y) to (x, -y)

Reflecting across the y axis is just turning (x, y) to (-x, y)

If we substitute that in we can figure it out

so

(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.

(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D

Step-by-step explanation:

PLEASE SHOW ALL YOUR WORK!!!
If popsicles cost $1.92 per dozen, what would be the cost of 60 popsicles?
Group of answer choices

$10.10

$9.60

$9.75

Answers

1.92 x 5 = 9.60

The cost is of $9.60

Answer:

$9.60

Step-by-step explanation:

$1.92 = per dozen

60 = how many dozens?

12 = one dozen.

60/12 = 5

5 dozens in 60 popiscles

If we know that we have 5 dozens and it costs $1.92 per dozen, we can just multipty those two numbers.

1.92*5=9.60

So, the cost of 60 popsiciales is $9.60!

A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.



4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18



Create a histogram of this data.

To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data.

Answers

Answer:

0-4 should go up to 1     5-9 should go up to 3     10-14 should go up to 4     15-19 should go up to 5        20-14 should go up to 2

Step-by-step explanation:

Hope this helps!

Adele ate 1/4 of a hamburger in 5/6 of a minute. How many minutes will it take her to finish the entire hamburger?

Answers

Answer:

3 minutes 20 seconds

Step-by-step explanation:

Time taken to eat 1/4 of a hamburger = 5/6 minute

The entire burger = 4/4Since 1 x 4 = 4, it will take 4 times the amount of time taken to eat 1/4 of a hamburger

Solving

T = 5/6 x 4 minutesT = 20/6 minutesT = 3 2/6 mintuesT = 3 minutes 20 seconds

PLSS HELP ME WITH THIS!! 20 POINTSS The following graph shows a proportional relationship. What is the constant of proportionality between y and a in the graph?

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The gradient of this graph is 2/3 so the equation of the line is

[tex]y= \frac{2}{3}x[/tex]

However, the question is asking for proportionality which has the equation:

[tex]y=kx[/tex]

So k in this instance is [tex]\frac{2}{3}[/tex].

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