A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is

1. -9
2. -1
3. 8
4. 15​

Answers

Answer 1
I think is




3. 8



Hpta me están poniendo a escribir mucho men
Answer 2

The value of a₄ is -9

What is recursively defined sequence?

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

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Related Questions

A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?

Answers

Answer:

84 feet

Step-by-step explanation:

4 inches× 7 inches=28inches

28 inches×3feet=84feet

Find the area of a circle with radius 2cm, leave your answer in terms of pi

Answers

Answer:

[tex]Area = 4 \pi \ cm^2[/tex]

Step-by-step explanation:

[tex]Area = \pi r^2 = \pi \times 2^2 = 4 \pi \ cm^2[/tex]

Answer:

A = 4 cm squaree

this us because u multiply π r and square it. sorry if it's confusing

Pls help. What is the appropriate congruent for these triangles

Answers

Answer:

C. HL

Step-by-step explanation:

The diagram given shows that the hypotenuse length and the length of a leg of one right triangle is congruent to the hypotenuse and corresponding leg length of the other. Based on Hypotenus-Leg criterion, the two right triangles is proved to be congruent because it meets the criterion of HL.

What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs

Answers

Answer:

The answer should be t > s. (B) is the answer.

Show that √2 is an irrational numbe.​

Answers

Answer:

[tex] \sqrt{2} =1.41421356237...[/tex]

Answer:

The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2 WERE a rational number, we'd get a contradiction.

...

A proof that the square root of 2 is irrational.

2 = (2k)2/b2

b2 = 2k2

Which could be the graph of f(x) = |x -h| + k if h and k are both positive?

Answers

Step-by-step explanation:

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.

Answer:

A

Step-by-step explanation:

Just did it

Expand and simplify (3x+4)(2x+3)

Answers

Answer:

72 you just need to keep multiplying

Step-by-step explanation:

3x4. 2x3

12 x 6

72

What is the equation of the line

Answers

The answer is
(0,0)
Goodluck

The value of log₃⁵ x log₂₅⁹ is...

Answers

Answer:

i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong

6.) Find the square root(s)

Answers

Answer:

the square root is 0.08/8

-2/5 or -0.4
Is the square root

The manager of a football team says the probability that the team will win the next match is 0.6 and the probability it will lose is is 0.1 Find the probability that the team will: a) not win b) not lose c) not draw

Answers

Answer:

A. 0.4

B.0.9

C.0.7

Step-by-step explanation:

Answers:

a)    0.4b)   0.9c)   0.7

===========================================

Explanation:

Part (a)

P(winning) = 0.6 is given

The probability of not winning is 1 - P(winning) = 1 - 0.6 = 0.4

----------------

Part (b)

P(losing) = 0.1 is given

The probability of not losing is 1 - P(losing) = 1 - 0.1 = 0.9

-----------------

Part (c)

The probability of winning is 0.6 and the probability of losing is 0.1

This adds to 0.6+0.1 = 0.7, which must mean 0.3 is the probability of drawing (since 0.7+0.3 = 1)

So the probability of not drawing is 1 - P(draw) = 1 - 0.3 = 0.7, which is exactly the sum of the probabilities of winning and losing.

There is a special offer at the book shop.
Ryan chooses 4 books that cost
£4.00
£3.80
£3.00
and £1.20
Special
offer
4 for the
price of 3.
Buy any 4 books and get
the cheapest one completely free!
What fraction of the normal total price does he save?
Choose the correct calculation.
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£1.20
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£4.00 + £3.80 + £3.00
x (£4.00 + £3.80 + £3.00 + £1.20)

Answers

price of 3Step-by-step explanation:

what is 0.06 divided by 8 working out

Answers

It’s an answer for your question

Answer:

0.0075

Step-by-step explanation:

 0. 0 0 7 5

_______________________

8  ÷ 0. 0 6 0 0

− 0        

_______________________

 0 0      

−   0      

_______________________

   0 6    

 −   0    

_______________________

    6 0  

   − 5 6  

_______________________

      4 0

     − 4 0

_______________________

         0

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the measure of the arc or angle indicated.
5)
R
1290
?
S
450
A) 93°
D) 48°
C) 96°
B) 1320
E) 1140

Answers

The answer is D 48 degrees

16p⁷q⁸÷2p⁴q⁵
whats the answer?

Answers

Answer:

[tex]8 {p}^{3} {q}^{3} [/tex]

Step-by-step explanation:

Hope it is helpful....

Evaluate.

9+6²÷3=?

brainliest

Answers

9 + (36) / 3
9 + (12)
= 21

Answer:

21

Step-by-step explanation:

9 + 6^2 / 3

Follow PEMDAS:

9 + 36 / 3

9 + 12

21

Hope this helps, good luck! :)

Find the area of the figure below

Answers

Answer:

521

Step-by-step explanation:

It wants me to use division, but sadly I am not getting the answers I want with it. Please help!

Answers

Answer:

a. 70 gallons of water were leaked each month.

Step-by-step explanation:

Set up an equation:

Variable x = gallons leaked each month

210/3 = x/1

Cross multiply:

210 × 1 = 3 × x

210 = 3x

Divide by 3 to isolate the variable:

70 = x

The division part is only 210 ÷ 3 = x. I wrote it down this way so you can see how I came to this equation.

Check your work:

210/3 = 70/1

210 × 1 = 3 × 70

210 = 210

Correct!

1. Explain how to find the area of a complex figure. Draw an example to help illustrate
your understanding. Please help!

Answers

Answer:

Refer to the attached file

Hope it helps..

Can someone help and explain how to do these problems please

Answers

Step-by-step explanation:

1st one right angle

Right angle is of 90°

and 70° is given so subtract them

90-70=30 so y is 30°

2nd one

35° given and

[tex] \frac{35}{7} = 5[/tex]

so 7x5=35

t=5

If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?

Answers

Answer:

25

Step-by-step explanation:

5x5=25

Hope this helps! :)

Answer:

25 boys

Explanation:

Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.

Put in in order from least to Greatest 3,-18,5,4,-2,6

A)-2,3,4,5,6-18

B)-2,18,3,4,5,6

C)-18,-2,3,4,5,6

D)3,4,5,6-2,-18

Answers

smalsksleehekbskdnejeoejekd

Answer:

A.

Step-by-step explanation:

-2,3,4,5,6-18 from least to greatest

Please help I’ll give brainliest

Answers

Answer: $108199

Step-by-step explanation:

Step 1) Find the deposit cost

35/100 × 89540 = 31339

Step 2) Find the total cost of the monthly payments

2135 × 36 = 76860

Step 3) Find the final cost

31339 + 76860 = $108199

Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?

Answers

Firstly, 27 x 4.54
= $122.58

$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.

What is PEDMAS rule?

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

According to the question

Monique goes out for coffee once per week.

She has already spent $40.86 this year on her coffees and each one is $4.54.

There are 27 weeks left in this school year for Monique.

If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:

Based on the given conditions

[tex]40.86 + 27 \times 4.54[/tex]

By using PEDMAS rule, first we have to multiply 27 and 4.54

= [tex]40.86 + 122.58[/tex]

By using PEDMAS rule, first we have to add 40.86 and 122.58

= [tex]163.44[/tex]

Thus, $163.44 money will she have spent on coffee by the end of the year.

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1. Maggie currently has a balance of $-15 in her bank account, she deposits $11
into her account. How much money does Maggie have in her account? *

Answers

-15+11=-4 so Maggie has -4 in her account

Answer: Maggie now has $-4 in her bank account.


Explanation: The word “deposits” usually means “add”, so all you need to do is:

-15+11
=-4

Therefore, Maggie now has a balance of $-4 in her bank account.


Hope this helps シ

Given that A , B and C are the vertices of a triangle and that ∠ C B A = 80 ∘ and ∠ A C B = 35 ∘ , label the triangle with the correct vertices, A , B , or C . Select the correct answer from the options below.

Answers

Answer:

Step-by-step explanation:

What is the solution to the system of equations ?
Y=2/3 x + 3
X= -2

Answers

Answer:

5/3

Step-by-step explanation:

Answer:

x = -2, y = 5/3

Step-by-step explanation:

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

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

[tex]-\frac{4}{3}[/tex] + 3 =

[tex]-1\frac{1}{3}[/tex] + 3 = [tex]\frac{5}{3}[/tex]

What is the length of the side x?

Answers

Answer and Step-by-step explanation:

Solve for the middle side, then  for x using Pythagorean Theorem.

[tex]A^2 + B^2 = C^2\\\\\\6^2 + 8^2 = C^2\\\\100 = C^2\\\\C = 10\\\\\\\\A^2 + 10^2 = 12^2\\\\A^2 + 100 = 144\\\\A^2 = 44\\\\A^2 = 2\sqrt{11} <-Answer[/tex]

#teamtrees #PAW (Plant And Water)

There are 271 songs on Amy's computer. She
wants to make playlists that have 9 songs
each. How many full playlists can she make?

Answers

Answer:

30

Step-by-step explanation:

You do 271 ÷9

= 30.11111111

The answer is your whole number (30)

Evaluate 5(x-1)-2when x=3

Answers

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

5(x-1)-2
5(3-1)-2
5(2)-2
10-2
8
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