Identify the first five terms of the sequence in which a1 = 3 and an = 4an−1− 5 for n ≥ 2.

Answers

Answer 1

Step-by-step explanation:

a1 = 3

an = 4an-1 - 5

a2 = 4×3 - 5 = 12 - 5 = 7

a3 = 4×7 - 5 = 28 - 5 = 23

a4 = 4×23 - 5 = 92 - 5 = 87

a5 = 4×87 - 5 = 348 - 5 = 343

Answer 2

Answer:

3, 7, 23, 87, 343

Step-by-step explanation:

Using the recursive rule and a₁ = 3 , then

a₂ = 4a₁ - 5 = 4(3) - 5 = 12 - 5 = 7

a₃ = 4a₂ - 5 = 4(7) - 5 = 28 - 5 = 23

a₄ = 4a₃ - 5 = 4(23) - 5 = 92 - 5 = 87

a₅ = 4a₄ - 5 = 4(87) - 5 = 348 - 5 = 343


Related Questions

How do you divide 35 and 97.3

Answers

Answer:

To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.

72 is 45% of what number?

Answers

Answer:

160

Step-by-step explanation:

we have, 45%×x = 72

or, 45÷100×x = 72

multiplying both side by 100 and diving both side by 45,

we have x= 72×100÷45

x= 160 ANSWER

Complete the following sentence (select all that apply). The expected count of females who are not pierced is what we would expect to see in the sample if ___________________________. Group of answer choices gender and piercing were significantly related. gender and piercing are independent. the null hypothesis is true. the null hypothesis is not true.

Answers

The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

Read more about null hypothesis at:

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nearest tenth of .6752

Answers

.7 is the nearest tenth to the number .6752 because of the 1-4 rounds down and 5-9 round up.

Answer:

Step-by-step explanation:

6750

Two numbers multiply to be 0 and add to be -81?

Answers

Answer:

0 and -81

Step-by-step explanation:

So, we know anything times zero is zero, and anything added or subtracted to zero would give you that number, meaning one of these numbers is zero.

Zero plus -81 will give you the same number, -81, and zero times -81 will give you zero since anything added to or subtracted to zero is that number.

Which decimal is less than 0.12 and greater than 0.008?

Answers

Answer:

Too many examples.

You can pick a number between 120 and 8, then. take that number and move the decimal point to the left 3 spaces.

Here are some examples between 0.12 and 0.008:

0.10.0650.580.07830.119

PLS HELP i will GIVE BRAINLESS)!!!! Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table. a. List the players from worst score to best score. Show your work.SOLUTION b. Check your answer to problem 3a. Show your work. 3 Player Score Brett27 Ellema 21 Felipe 13 Jennifer 0 Kamal 12 Riley25

Answers

Answer:

0,12,13,21,25

Step-by-step explanation:

jennifer-0, kamal-12, felipe -13, ellma-21, riley 25

basically least to greatest order

2
The triangle is reflected across the w-axis and then reflected across the r-axis.
What are the coordinates of p' the image of P after the reflections?
OA (3)
OB (3,4)
O a. 3.
O D. (4, -3)

Answers

Answer:

Step-by-step explanation:

P = (-4, 3)

Reflecting across the y axis negates the x value

P₁ = (4, 3)

Reflecting across the x axis negates the y value

P' = (4, -3)

option D


mZLOM= 3x – 15°
mZMON = 5x – 23°
Find mZMON:

Answers

Answer:

57

Step-by-step explanation:

Together both angles equal 90

(3x - 15) + (5x -23) = 90

Combine like terms

8x - 38 = 90

Add 38 to both sides

8x = 128

Divide by 8

x = 16

You can check by replacing x with 16 and seeing if it still equals 90.

To find angle MON... replace x with 16

5(16) - 23

Angle MON = 57

I hope this helps!!

what is (3×100)+(1×110)+(4×11,000) in decimal form

Answers

It is 44,410 thanks

What is f ( x ) = 2x + 2

A .4

B . 2

C . -2

Pick only 1 answer !!! Thank you

Answers

Answer:

X = -1 (unsure as to how this is not an answer but I have checked my work)

Step-by-step explanation:

( f(x) = y )

1. y = 2x + 2

  -2         -2

2. -2 = 2x

    /2     /2

3. -1 = x

X- y = -7 slope intercept form

Answers

Answer:

[tex]y=x+7[/tex]

Step-by-step explanation:

Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:

[tex]x+7=y \rightarrow y=x+7[/tex]

-57 = 16 + 5m
What does m=

Answers

Answer:

m = -14.6

Step-by-step explanation:

Given Question:To find the value of m

Given Equation:-57 = 16 + 5m

Solution:

=> -57 = 16 + 5m

=> 16 + 5m = -57

(On subtracting -16 from both sides)

=> 16 + 5m - 16 = -57 - 16

(On Simplification)

=> 5m = - 73

(On dividing both sides with 5)

[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]

(On Simplification)

=> m = -14.6

Hence, required value of m = -14.6 (Ans)

Answer:

_14.6

Step-by-step explanation:

-57 = 16 + 5m

-57 - 16 = 5m

-73 = 5m

÷5] - 14.6 = m

Nb.... M = - 14.6

Decide whether the data in the table represent a linear function or an
exponential function.

O A. The data represent a linear function because there is a common difference of -8.

OB. The data represent an exponential function because there is a common ratio of 2.

C. The data represent a linear function because there is a common
difference of 8.

D. The data represent an exponential function because there is a common ratio of 1/2

Answers

f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24[/tex]

so is linear because it has a slope (common difference) of -8,

Pre college need help with this question

Answers

Answer:

the domain is {7,-4,1,4,}

the range is {1,-5,2,-7}

Step-by-step explanation:

A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 

Answers

there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles

there are 18 marbles in total

8/18

Answer:

1/9 or 11.1%

Step-by-step explanation:

16 out of 18 are red

1/8 are red plastic

16/18 x 1/8 = 16/144 or 1/9

How much power does it take to lift a 40N object. 8 meters high in 3 seconds. Show work 8)

Answers

Answer:

Step-by-step explanation:

power = work / time

work = force x distance

force = newtons

w = fd

w = 40N(8m)

w = 320J

p = w/t

p = 320J/3s

            __

p = 106.66

(sixes repeat)

The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute difference between the greatest and the least of these three numbers in the arithmetic sequence?

The answer is 10 but I don’t know how to get it

Answers

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: https://brainly.com/question/25749583?referrer=searchResults

Write the expression:

the sum of a number and it's opposite

Answers

Answer:

0

Step-by-step explanation:

              -5                             5

           <-+-+-+-+-+-+l-+-+-+-+-+->

               l               0                l

<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->

-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8

graph l. (l points down).   Thanks!

Answer:

the sum of a number and it's opposite= x - (x)

Step-by-step explanation:

The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.

Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.

Maria has a net income of $2,400 per month. She puts $400 into her
savings. What percent of her net income did she put into savings?
Round your answer to the nearest tenth.

Answers

Answer:

17%

Find the percentage that 400 is of 2400 (It's quite tricky to explain).

Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 19 weeks

Answers

Answer:

$1690

Step-by-step explanation:

equation: 60w+550=s

work: 60(19)+550=s

1140+550=s

1690=s

Cheyenne is on her school swim team.
She has won 6 of her 15 events so far
this year. Which equation can be used
to determine how many events she will
need to win in a row to have an overall
win rate of 75%?

Answers

The equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that there is a total of 15 events. And in order to win 75% of the event, Cheyenne need to win,

The number of matches Cheyenne needs to win = 75% of 15

                                                                                 = 11.25 ≈ 12 events

Since Cheyenne has already won 6 events out of 15, she needs to win 6 more events.

Hence, the equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

Learn more about Equation:

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elliot's jogging rate is 9 km/h. how many kilometers can he travel in
a) 2 hours?
b) t hours.
50 POINTS AND BRAINILEST!

Answers

Answer:

A=18km B=equation is 9t

Step-by-step explanation:

Here's how I found the answer!

A: Here is our current proportion:

9km

--------

1 hr

Here is what we want:

9km       xkm

------- = --------

1h            2h

Now, what did I do to 1 to get to 2? I multiplied by 2.

Since this is a ratio, it needs to be proportional.

So, we need to do the same thing for the numerator, 9.

9*2=18.

A=18km

B: This question is asking for an expression, which would be 9t. 9 is the amount he jogs per hour, and t is the hour that is unknown.

The distance travelled by Elliot's is 18 hours.

Given that, Elliot's jogging rate is 9 km/h.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

a) The formula to find the distance is Distance = Speed × Time

= 9 × 2

= 18 hours

b) Distance = 9 × t

=9t hours

Therefore, the distance travelled by Elliot's is 18 hours.

To learn more about the speed, distance, and time visit:

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i need help with this pleaseeeeeeee

Answers

Answer:

BEF

Step-by-step explanation:

Yeah-ya.............. right?

Answer:

TAY I THINK ITS TAY C PART TAY

2d +9= 19
The solution is d =

Answers

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

2d +9= 19

The solution is d =

[tex]{\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}[/tex]

Hello there, first we can place our equation, which you have stated

[tex]2d+9=19[/tex], this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.

First we can subtract [tex]9[/tex] with both sides of the equation giving us the result of [tex]2d=10[/tex], this can also be represented as [tex]2\cdot d=10[/tex], now just divide both sides of the equation by [tex]2[/tex], our answer is [tex]d=5[/tex].

_____________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

[tex]{\boxed{d=5}}[/tex]

_____________________

Have a good day :) !

Pls help me find the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

2x+6=x+9 subtract x in both sides

x +6 =9 subtract 6 in both sides

x = 3

So; 1. Find the sum of 64.2 + 3.4 =_____ Find the difference 514 - 1.72=_____


FOR MY BROTHER TWIN'S

" Please answer this today☺️ " ​

Answers

[tex]64.2 + 3.4 = 67.6 \\ 514 - 1.72 = 512.28[/tex]

2cosAcosB =

• cos(A + B) + cos(A - B)
• sin(A - B) + tan(A + B)

Answers

Answer:

2cosAcosB = cos( A + B ) + cos( A - B )

What’s the answer to the equation


Answers

Answer:

To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!

Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Use pencil and paper. Explain how you can use mental math to find the slope of the line. (please show how to do on pencil and paper)

Answers

Answer:

[tex]m = 2[/tex]

Step-by-step explanation:

Using mental math to find the slope of the line:

If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:

(0, 0)

(4, 8)

As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)

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