If a1 = 7 and an = 3an-1 + 3 then find the value of a5.
Find the value of a5

Answers

Answer 1

Answer:

here you go

Step-by-step explanation:

If A1 = 7 And An = 3an-1 + 3 Then Find The Value Of A5.Find The Value Of A5
Answer 2

Recursive expressions are ways of expressing sequence using functions. The fifth term of the recursive sequence is 567.

What is Recursive functions?

Recursive functions are ways of expressing sequence using functions. Recursive Function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms.

here, we have,

given that,

Given the following recursive functions

a₁=7 and;

aₙ = -3aₙ₋₁

For the second term;

a₂ = -3a₁

a₂  = -3(7)

a₂  = -21

For the third term a₃

a₃ = -3a₂

a₃ = -3(-21)

a₃ = 63

For the fourth term

a₄ = 3a₃

a₄ = 3(63)

a₄ = 189

For the fifth term

a₅ = 3a₄

a₅ = 3(189)

a₅ = 567

Hence the fifth term of the recursive sequence is 567.

Learn more on recursive sequence here:

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Related Questions

Three quarters of the 12 farms breed cattle. How many farms breed cattle?

Answers

Answer:

Your answer is 9 farms breed cattle.

Step-by-step explanation:

(3/4)*12 = 9

      or

.75*12 = 9

Answer:

9

Step-by-step explanation:

Three quarter means ¾

¾ of 12

3 × 3

9

Need help!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!

Answers

Answer:

Your answer is 20

Step-by-step explanation:

It minuses 1 to every other.

Answer:

The answer is 20

Plz help me well mark brainliest if correct.......??

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6 x 8 x 3 = 144

have a great day.

The results of a poll show that the percent of people who want a new restaurant is in the interval (62%, 88%). There are 109,482 people in the city. What is the interval for the number of people who are likely to want this restaurant in their city? Round to the nearest person. Enter your answer in the boxes.

Answers

Answer:

(67879,96344)

Step-by-step explanation:

I took the test

From first to last, when did the presidents serve?
Drag the presidents' names into the correct order according to when they served.

Answers

Answer:

The answer is Gerald R. Ford, Jimmy Carter, Ronald Reagan, and lastly George H.W Bush

Step-by-step explanation:

How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points. I was able to graph them on Desmos, but I can't seem to figure out how I would go about figuring out the slope and y-intercept in this case... the fractions are what's throwing me off here. Please help!

Answers

Answer: [tex]m=\frac{-30}{79},\ y=5.40[/tex]

Step-by-step explanation:

Given

Points are [tex]\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)[/tex]

Convert mixed numeral to fraction

[tex]\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)[/tex]

Slope of the line is

[tex]\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}[/tex]

Equation of line

[tex]\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40[/tex]

Suppose x and y are real numbers and x+y=2. Which of the following statements must be true about x and y? A. If one of the numbers is irrational then both are irrational. B. Both x and y must be rational. C. Both x and y must be irrational. D. One of the numbers can be irrational but not both.​

Answers

Answer:

I think that it is A

The solution is :  The correct option is,

(A) the sum of x and y is a rational number

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have.

We are given to consider that x = 1.5 and y = 3.

We are to select the statement that is true about the sum x + y.

To select the correct statement, we first find the value of the sum x + y.

We have

x+ y = 1.5 + 3 = 4.5

So, the value of the sum is 4.5. It is a real number.

We know that a real number is

(i) rational, if the digits after the decimal are either terminating or repeating,

(ii) irrational, if the digits after the decimal are neither repeating nor terminating.

The sum 4.5 has terminating digits after the decimal, so it is a rational number.

Thus, the sum of x and y is a rational number.

Option (A) is CORRECT.

To learn more on number click:

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complete question:

Consider that x=1.5 and y=3. Which statement is true about x + y A the sum of x and y is a rational number

B the sum of x and y is an imaginary number

C the sum of x and y is an irrational number

D the sum of x and y is neither rational not irrational

Find the common difference of the arithmetic sequence -2,6,14,...

Answers

Lets note the change between each of the numbers in the sequence:

-2 --> 6 ---> 14

Next, make an equation between each of these numbers with x being the change between them

-2+ x = 6, 6 + x = 14 .

Now, solve each of these equations:

-2+ x = 6 --> -2+ x = 6 Add 2 on both sides to cancel out the -2 --> x = 8

6+ x = 14 --> -2+ x = 6 Minus 6 on both sides to cancel out the 6 --> x = 8

From this, the common difference will be 8.

Hope that helps.

hay again friendssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

It would be 7 miles so B ?

Q7. What is the equation of the system of equations below? Explain how
you arrived at your answer
W
18x + 15-y-0
5y - 90x + 12

Answers

Answer: 18x -15 -y =0

Step-by-step explanation:

because linear equations in two variables are always in the format of ax+by+c=0

where a,b and c are constant terms

in this case a = 18; ax= 18x

b= -1 , by= -y

c= 15

Answer:

90x + 75 = 90x + 12, they don't intersect

Step-by-step explanation:

18x + 15 - y = 0

5y = 90x + 12

1. We will be using substitution, to do so, bring y to the other side in the first eqaution.

18x + 15 - y = 0

18x + 15 = y

2. Now plug in 18x+15 into the second equation

5(18x + 15) = 90x + 12

3. Distribute and solve for x

90x + 75 = 90x + 12

Because the slopes are the same (90x) this means that the system does not have an intersect.

-8 is an irrational number.
True
False

Answers

The answer for this is true

Answer:

false

Step-by-step explanation:

ILL GIVE BRAINLIEST NEEDED BY TONIGHT

find the surface area of the figure below

Answers

Answer:

96 sq. ft

Step-by-step explanation:

surface area = (2×½×6×8) + (6+8+10)×2

= 48+48

= 96 sq. ft

PLEASE HELP ME

Angelique makes beaded jewelry. The graph below shows the number of beads on varying cord lengths. Jewelry  A necklace contains 88 beads. Based on the information above, which is the best estimate for the cord length? 21 inches 26 inches 34 inches 36 inches.​

Answers

Answer:

please show answer choices

Step-by-step explanation:

240% of what number is 360? +

Answers

Answer:

240% of 150 is 360

Step-by-step explanation:

240% of [tex]x[/tex] = 360

[tex]\frac{240}{100}[/tex] x [tex]x[/tex] = 360

2.4 [tex]x[/tex] = 360

[tex]x[/tex] = [tex]\frac{360}{2.4}[/tex]

[tex]x[/tex] = 150

Pls HELP
3. Which image shows a reflection over the linex=2?

Answers

Answer:

C

Step-by-step explanation:

C is the answe

Which of the following system of equations has a solution of (1,3)?
x = 4y - 11
y = 5x - 14

3x + 5y = 18
y = 2x + 1

x - y = -2
2x + 3y = 11

Answers

Answer: 3x + 5y = 18  y = 2x + 1 or the second option !!

How to: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Have a great day !

Can you help me on this?

Answers

Answer:

d= -32

Step-by-step explanation:

Answer:

-5=d/4+3

-5-3=d/4

-8=d/4

-8*4=d

-32=d

Step-by-step explanation:

The probability distribution for a random variable x is given in the table

X - -5 -3 -2 0 2 3

Probability- .17 .13 .33 .16 .11 .10

Find the probability that -2 < or equal to X < or equal to 2

Answers

Answer:

[tex]P(-2 \le x \le 2) =0.60[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}x & {-5} & {-3} & {-2} & {0} & {2} & {3} \ \\ P(x) & {0.17} & {0.13} & {0.33} & {0.16} & {0.11} & {0.10} \ \end{array}[/tex]

Required

[tex]P(-2 \le x \le 2)[/tex]

From the distribution, the above is equivalent to:

[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]

We have:

[tex]P(x = -2) = 0.33[/tex]

[tex]P(x = 0)=0.16[/tex]

[tex]P(x = 2) = 0.11[/tex]

So:

[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]

[tex]P(-2 \le x \le 2) = 0.33 + 0.16 +0.11[/tex]

[tex]P(-2 \le x \le 2) =0.60[/tex]

Find the slope of the line that contains (5, -4) and (-9, 8)

I'll give Brainliest to the right answer!

Answers

Answer:   m = [tex]- \frac{6}{7}[/tex]

Chuck has 20 feet of fencing and wishes to make a rectangular fence for his dog Rover. If he uses his house for one side of the fence what is maximum area?

Answers

Answer:

50 square feet.

Step-by-step explanation:

Let x represent the width of the fence and y represent the length of the fence.

One side of the length is already covered by the house. This leaves 2x and y. This must sum to 20. Hence:

[tex]2x+y=20[/tex]

The area of the enclosure will be given by:

[tex]A=xy[/tex]

From the first equation, we can subtract 2x from both sides:

[tex]y=20-2x[/tex]

Substitute:

[tex]A=x(20-2x)[/tex]

This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex. So, find the vertex of the equation. Distribute:

[tex]A=20x-2x^2[/tex]

In this case, a = -2, b = 20, and c = 0.

Hence, the vertex is:

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(20)}{2(-2)}=5[/tex]

Substitute this value back into the equation and evaluate:

[tex]A(5)=20(5)-2(5)^2=50\text{ ft}^2[/tex]

The maximum area is 50 square feet.

This occurs when the dimensions are 5 feet by 10 feet.

A boy pulls a wagon a distance of 1.2 km. An applied force of 22N is directed at an angle of 25 degrees above the horizontal. How much work is done?

Answers

Answer: 23.92 kJ

Step-by-step explanation:

Given

Distance moved by wagon is [tex]d=1.2\ km[/tex]

Force [tex]F=22\ N[/tex] directed at an angle of [tex]25^{\circ}[/tex] above the horizontal

Only the horizontal component of the force that is, [tex]22\cos 25^{\circ}[/tex]the wagon will cause the wagon to move, while the other force is perpendicular to the wagon and thus produce zero displacements.

Work done is

[tex]W=F\cdot s\\W=22\times 1.2\times 10^3\times \cos 25\\W=23.92\ kJ[/tex]

thus, 23.92 kJ of work is done on the wagon.

Question 4 of 9
(10.2). 3 = 10. (2:3)
A. True
B. False
SUBMIT

Answers

Answer:

false is the correct answer right

Simplify the given expression.

Answers

Answer:

if  u putted  a picture or link i cant see it

Step-by-step explanation:

Answer:

Q1 .

[tex]\frac{3y -28}{(y+2)(y-2)}[/tex]

option 3

Q2.

[tex]\frac{(x-1)(x+1)(26x-31)}{(x^2 +8)} \\[/tex]

option 2

can you just please click on this and help

Answers

Answer:

i think its b but im not 100 percent sure...

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d

What is the degree of the following polynomial?

g(t)=2t2−4t+t5+3

8
3
2
5

Answers

The correct answer is “5”


HELP ME! Look at the stem-and-leaf plot. What is the mode of the numbers?

Answers

Given:

The stem-and-leaf plot or a date set.

To find:

The mode of data set.

Solution:

From the given stem-and-leaf plot, we get the numbers of the data set.

64, 67, 70, 70, 71, 75, 76, 78, 78, 80, 82, 82, 88, 91, 93, 94, 97, 98, 100, 100, 100

Mode of a date set is the most frequent value.

In the given data set the most frequent value is 100 with frequency 3.

Therefore, the mode of data set is 100. Hence, option A is correct.

Answer:it is A: 100

Step-by-step explanation:

i got it right

good luck with your test :)


What is the perimeter of this tile?
in?
4 in
1 in

Answers

Answer:

perimeter of tile =2(l+b)

2(4+1)2×510 in

hope it helps

stay safe healthy and happy.

Plz help me well mark brainliest if correct!

Answers

Answer:

ok

Step-by-step explanation:

Answer:

The length is 8.

Step-by-step explanation:

If you know the formula for area is LxW. Use this but reverse it. The area is 24 and the width is 3. Now divide 24/3=8. Simple as that!

Formula: A/W=L or A/L= W use this if you need more help! Hope it helps (:(:

For which quadratic equation are the solutions 6 and -8?
A)
x2 + 2x = 48
B)
**+ 8x - 48
C)
x2 - 2x = 48
D)
x2 + 2x = -48

Answers

Answer:

A

Step-by-step explanation:

A) is the right answer.

Answer:

A

Step-by-step explanation:

A)  Yes, this is solution

b) No

c) No

d) NO

What is mZMNP?


A 73
B 107
C 110
D 146

Answers

Answer:

zMNP=180-73

=107 IS THE ANSWER

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