Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.

Answers

Answer 1

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

Answer 2

Answer:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{2\\}\\\\[/tex] = 5

[tex]a_{3\\}\\\\[/tex] = 14

[tex]a_{4\\}\\\\[/tex] = 41

[tex]a_{5\\}\\\\[/tex] = 122

Step-by-step explanation:

If I've properly understood:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{n} = 3 a_{n-1}\\[/tex] - 1

so, the first 5 terms are:

[tex]a_{1}\\\\[/tex] = 2

[tex]a_{2\\}\\\\[/tex] = 3. 2 - 1 = 5

[tex]a_{3\\}\\\\[/tex] = 3. 5 - 1 = 14

[tex]a_{4\\}\\\\[/tex] = 3. 14 - 1 = 41

[tex]a_{5\\}\\\\[/tex] = 3. 41 - 1 = 122


Related Questions

please answer them alll 50 points
Review the function equation below.

y = −9x + 3

Enter the slope of the function in the box.
Question 2 (1 point)

Question 2 options:

Review the function equation below.

y = −9x + 3

Enter the y-intercept of the function in the box.
Question 3 (1 point)

Question 3 options:

Review the function equation below.

y = 5x − 7

Enter the slope of the function in the box.
Question 4 (1 point)

Question 4 options:

Review the function equation below.

y = 5x − 7

Enter the y-intercept of the function in the box.
Question 5 (1 point)

Question 5 options:

Review the function table below.

Enter the slope of the function in the box.
Question 6 (1 point)

Question 6 options:

Review the function table below.

Enter the y-intercept of the function in the box.
Question 7 (1 point)

Question 7 options:

Review the function table below.

Enter the slope of the function in the box.
Question 8 (1 point)

Question 8 options:

Review the function table below.

Enter the y-intercept of the function in the box.
Question 9 (1 point)

Question 9 options:

Review the function graph below.

Enter the slope of the function in the box.
Question 10 (1 point)

Question 10 options:

Review the function graph below.

Enter the y-intercept of the function in the box.

Answers

Answer:

1. slope -9

y-int (0, 3)

2. slope 5

y-int (0, -7)

we don't have the tables

What is 4% of 25?.....

Answers

Answer:

1

Step-by-step explanation:

multiply 25 by .04



A gift shop wants to make gift baskets for its regular customers. There are 24 bottles
of shampoo, 36 tubes of hand lotion, and 48 bars of soap. The same number of each
item should be in each basket. What is the greatest number of baskets that can be
made?

Answers

Answer:

Find the biggest # that can divide all 3 #'s, and that's your answer.

Step-by-step explanation:

24 is divisible by:

1, 2, 3, 4, 6, 8, 12, 24

36 is divisible by:

1, 2, 3, 4, 6,  9, 12, 18, 36

48 is divisible by:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

If sally has 10 lollipops and gives 3 away but then but 14 more and eats 3
how many lollipops does sally have? If it is correct you can get points and brainilist

A) 13
B) 3
C) 20
D) 18

Answers

Answer:

D) 18!

Step-by-step explanation:

HAHAHAHAHH BESTIEE

round 12.5829 to the nearest hundredth

Answers

12.58 i’m pretty sure

Answer:

12.58

Step-by-step explanation:

the 8 is in the hundredth's place, and 2 is less than 5, so the 8 stays the same and you eliminate all the numbers to the right, so you get 12.58

Select all the correct systems of equations.
Which systems of equations have infinite solutions?

Answers

Answer:

y = 14 - 2x

6x + 3y = 42

2x + y = 17

-6x = 3y - 51

Step-by-step explanation:

The following system of linear equations have infinite solutions:

y = 14 - 2x

6x + 3y = 42

2x + y = 17

-6x = 3y - 51

I NEED HELP PLEASE







Coment if u singal

Answers

Answer:

x> -10

Step-by-step explanation:

in order to find what the value of X is you have to multiply the 5 of the denominator into the -6 which would make -30.

You would then divide by 3 in order to get x by itself and would get -30÷3= -10

therefore the answer should be greater than -10

Hope this helped :)

Answer:

x > -10

Step-by-step explanation:

[tex]\frac{3x}{5} > -6[/tex]

Multiply both sides by 5/3

[tex]\frac{5}{3} * \frac{3x}{5} > \frac{5}{3} *(-6)[/tex]

Reduce Everything

[tex]x > -5*2[/tex]

Multiply

x > -10

What is 482.073 expressed in word form?

Answers

Four hundred eighty two point seventy three tenths

plz help asap i will mark you brainlist plz help

Answers

459 is the answer. It’s addition

Rose, I am very sorry 4 not replying to all ur text. im sorry for wat happen to ur mom.

Answers

Answer:

I feel so bad, would you mind telling me what happened to her mother..?

      ~isimpfortnpu

I am so sorry to and I don’t even know u rose :(

PLZZZZZZZZZZ HELP MEEEEEEEEEEE IM TIMED AND PLZZZ EXPLAIN HOW YOU GOT THE ANSWER
Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.

1 gallon = 128 fluid ounces

Enter your answer and your work or explanation in the box provided.

Answers

Answer:

34.13

Step-by-step explanation:

1) Divide 128 by 3.75 which will give you 34.13

Answer: 34.13

Hope this Helps!

At a party there were 20 more women than men. The men paid Rs 30 each, the women Rs 20 each, and the total receipts 2600. How many men and women were there in the party?

Answers

Answer: Number of Men = 44;

Number of Women = 64

Step-by-step explanation:

Let the number of men be x

At a party there were 20 more women than men. This means the number of women = x + 20

Since the men paid Rs 30 each, the women Rs 20 each, and the total receipts 2600. This will be represented in an equation as:

(30 × x) + [20 × (x + 20)] = 2600

30x + 20x + 400 = 2600

30x + 20x = 2600 - 400

50x = 2200

x = 2200/50

x = 44

The number of men = 44

Number of women = 44 + 20 = 64

• Faith is making an acai bowl with cups of fruit for every cup of almond milk. Faith wants
to know the number of cups of fruit per cup of almond milk she uses when making the bowl.
• Which ratio of cups of fruit to cups of
Acai Bowl
almond milk is shown on the double
number line?
0
1
4 1
32
1 4
2 3
0:
4
3
0
fruit (c)
almond milk (c)
0

Answers

Answer: 4/3 : 1/2 that is the first answer the second one is 2 2/3

Step-by-step explanation: there ya go happy cheating! :)

Answer:

The answer is 4/3 : 1/2

What is the equation of the line that passes through the point (−6,3) and has a slope of -2/3?

Answers

Answer:

It's probably;

[tex] y = \frac{ - 2x + 21 }{3} [/tex]

Step-by-step explanation:

The Formular for equation on the line is given as m=y-y1/x-x1Where m = -2/3 , y1=3 and x1 = -6Then you substitute and solve


What is the slope of the line that passes through the points (-2,3) and (-14, -5)?
Write your answer in simplest form

Answers

Slope = 2/3 (positive 2/3)
You use the formula Y2-Y1/X2-X1 in order to get the slope

Find the percent of increase or decrease
x to 5x

Answers

Answer:

Step-by-step explanation:

The percentage increase from x to 5x is given by the equation P = 400 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage increase be P

Now , the equation will be

Let the original value be = A

The value of A = x

Now , the increased value = B

The value of B = 5x

And , the percentage increase is given by the equation ,

P = ( ( Increased value - Original value ) / Original value ) x 100 %

Substituting the values in the equation , we get

The percentage increase P = ( ( 5x - x ) / x ) × 100 %

The percentage increase P = ( 4x/x ) × 100 %

The percentage increase P = 4 x 100 %

The percentage increase P = 400 %

Therefore , the value of P is 400 %

Hence , The percentage increase from x to 5x is 400 %

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5


If the lengths of two sides of a triangle are 10 meters and 14 meters, which of the following measures is the
possible length of the third side?
O 2 meters
O 4 meters
O 22 meters
O 24 meters

Answers

C, 22 meters.

The rule is that the two smallest sides need to add up to be greater than the largest side.


2 meters + 10 meters is smaller than 14, so it doesn’t work
4 meters + 10 meters is only equal to 14, so it doesn’t work either
10 meters + 14 meters IS greater than 22, so it does work
10 meters + 14 meters is equal to 24, so it doesn’t work.
Answer: 22 meters

Explanation: You need a bigger side if you have two smaller sides.

If 2i-2+i - 2i/3+i = a+bi then a= and b=

Answers

Answer:

a=-2 and b=10/3

Step-by-step explanation:

Given that [tex]2i-2+i-\frac{2i}{3}+i=a+bi[/tex].

[tex]\Rightarrow -2+2i+i-\frac{2i}{3}+i=a+bi \\\\\Rightarrow -2+(2+1-2/3+1)i=a+bi \\\\\Rightarrow -2+\frac{10}{3}i=a+bi[/tex]

On comparing the real and imaginary parts, we have

a=-2 and b=10/3.

PLEASE HELP!!! FOR 60 POINTS!! New York City has two airports (JFK and LGA). If you’re flying with United Airlines (UA) and your primary concern is to arrive on time, is it better to fly to JFK or to LGA?

Answers

Answer:

If you're heading into New York City, LaGuardia is the closest. It's just 8.6 miles from LaGuardia to Midtown Manhattan, compared to 14.7 miles from JFK and 16.6 miles from Newark.

Step-by-step explanation:

To assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

What are United Airlines flights?

United Airlines is a significant American airline that flies domestically as well as internationally. The airline provides a wide range of services, such as passenger transportation, cargo delivery, and vacation packages.

The US Department of Transportation tracks and distributes on-time performance information for airlines and airports on its website. We can assess whether airport has a higher on-time performance record for this carrier by examining statistics for United Airlines trips to LGA.

LGA are both important airports that serve the greater New York City area, and both can face delays and congestion. Arrive at the airport well in advance of the scheduled departure time and check with your airline for any changes.

Therefore, to assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

Learn more about United Airlines flights, here:

https://brainly.com/question/31377083

#SPJ2

The points (10, 8) and (19, 17) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

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

Hope this helps!

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

What is the general equation of a straight line?

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

To solve more questions on straight line, visit the link below-

https://brainly.com/question/27730503

#SPJ2

Which of the following is most likely the next step in the series? O B. On # on # OCH oath​

Answers

Answer:

I don't really understand the question? could you explain please :)

Step-by-step explanation:

Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Answers

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

PLEASE HELP FAST WHAT IS THE ANSWER FOR THIS QUESTION I WILL GVIE BRAINLIST AND EXTRA POINTS FOR CORRECT ANSWER THANKS!!

Answers

Answer:

f(2) = -3

Step-by-step explanation:

This is the answer because:

1) The question is basically asking what the y-cordinate is.

2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.

3) When you line up the cordinates, you can see that where x is 2, y is -3.

Therefore, the answer is -3.

Hope this helps! :D

Dave has 30% of coupon

Answers

Answer:

HE GETS 30% OFF

Step-by-step explanation:

30% off the actual price!!

Which expression is equal to [(x4)2x3y5]??
x 26 y 10
x 22 y 10
x 13 y?
x 11 y?

(the 2,3, & 5 are all smaller)

Answers

edge 2020

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

i did it

City A has an elevation of 45 feet above sea level. City B is below sea level, with an elevation of -15 feet. What is the difference in elevation between City A and City B?

Answers

Answer:

60 hope this helps!

Step-by-step explanation:

45-(-15) = 60

Answer:

Well person, it's 60 feet.

Step-by-step explanation:

Because it is simple math. You just add 45 and 15 then BOOM! ANSWER

A scholar surveyed educators to determine if there was correlation between age and holding a doctorate degree. The survey results are below: Have a doctorate Do not have a doctorate 30 or younger 10 25 Older than 30 14 22 How many educators have a doctorate and are older than 30?

Answers

Answer:

14

Step-by-step explanation:

Given the result :

______________Doctorate ___ No doctorate

30 or younger ___ 10 ___________ 25

Older than 30 ___ 14 ___________ 22

Number of educators who have a doctorate and older than 30 = 14 ( from the table)

Older than 30 n Doctorate = 14

What is the quotient when (-12x^9 + 3x^7 + 24x^6) is divided by 6x?

Answers

Answer:

(-12x^9+3x^7+24x^6)÷6=-2×^10+1/2x^8+4x^7

The endpoints of QA are Q (-8,6) and A (-5,3). What the coordinates of the midpoint of Q4 ?
A (-6.5, 4.5)
B (-1.5, 4.5)
D 17, 4.5)​

Answers

Answer:

A

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = Q(- 8, 6) and (x₂, y₂ ) = A(- 5, 3) , then

midpoint = ( [tex]\frac{-8-5}{2}[/tex], [tex]\frac{6+3}{2}[/tex] ) = ( [tex]\frac{-13}{2}[/tex], [tex]\frac{9}{2}[/tex] ) = (- 6.5, 4.5 ) → A

The answer is A your welcome

18.6 divided by 3 long division sorry to lazy

Answers

6.2 I hope that helps
Other Questions
What is the average depth of the oceanic crust? What percentage of our planet does it cover? what is -5 - 1/2 equal? 25 POINTS and brainliestA function is shown. To the nearest whole number, what is the average rate of change of the function over the interval from x = 0 to x = 15? f(x) = 50,900(1.03) What did President Nixon believe about the American public in the 1970s?a, Most Americans opposed the Vietnam War. b, Most Americans disagreed with the counterculture. c, Most Americans knew communism was not a threat.d, Most Americans thought the draft was unfair. the answer is b, I did the test Stephen F. Austin was used to being able to speak his mind in the United States, but Mexico did not have the same type of freedom of speech in their country. In your journal, discuss whether or not you feel Americans today take our rights and freedoms for granted. Please answer asap the problem is attached PLEASE HELP FAST 5. The conversation below occurred in 1786. Which speaker is most likely to havewanted to keep the Articles of Confederation?Speaker 1: Our national government should be strong. State governmentsshould have only limited powers.Speaker 2: A bicameral legislature would protect the power of both the largestates and the small states.Speaker 3: Any further expansion of our national government might give ourleaders too much power.Speaker 4: The executive branch of our government should have greaterpower than the other branches.Speaker 1Speaker 2Speaker 3Speaker 4 You need to update your router settings, so you log into the administration panel, Whose Internet protocol (IP) address is 192.168.0.1. which IP version is this?A-IPv4B-IPv2C-IPv6D-IPv1 penny reads 12 pages an 1/4 an hour. what is the unit rate for pages per hour. for hour per pages What is the probability of not drawing a green marble?75%60%2/34/5 This is for the girl with a rob lox character she gonna help with my essay Describe the 3 ways plant seeds are dispered by other organisms. Determine the y-intercept of the following equation.(x + 4)(x + 2) = y BRAINILIEST IF RIGHT 4. Solve the following equation. -2 = -2bA. 4B. 0C. -4D.1 Joseph is weaving a ceremonial Native American sash. The sash will be 8 feet long when it is completed. Joseph wants to add a diamond shape every 0.4 feet along the sash. How many diamonds will the sash have when it is completed? A. 20 B. 19 C. 18 D. 17 pls give answer P (-2,-5) is the image of P after a translation along the rule (x,y) (x+1,y+2). What are the coordinates? When RNA is transcribed from DNA (Transcription) and leaves the nucleus, it is then called _____ . This message is "read" by ribosomes in groups of three nucleotides, called a ____. Big points and Brainliest look at the attachment pretty ez The __________ system is responsible for bringing oxygen into the lungs and releasing carbon dioxide from the body what is the result of 5418 written in standard form