a sequence is defined recursively by the given formulas. find the first five terms of the sequence. an = 2(an − 1 2) and a1 = 3 a1 = a2 = a3 = a4 = a5 =

Answers

Answer 1

The first five terms of the sequence are: 3, 3, 3, 3, 3.

a1 = 3

Using the recursive formula, we can find the next terms of the sequence:

a2 = 2(a1/2) = 2(3/2) = 3

a3 = 2(a2/2) = 2(3/2) = 3

a4 = 2(a3/2) = 2(3/2) = 3

a5 = 2(a4/2) = 2(3/2) = 3

Therefore, the first five terms of the sequence are: 3, 3, 3, 3, 3.

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Answer 2

Answer:

Step-

a4 =

⇒ 1029

a5 =

⇒ 7203by-step explanation:


Related Questions

If you borrow $491 for one year at an interest rate of 9%, how much interest will you pay?

Answers

Answer:

44.19

Step-by-step explanation:

419*0.09=44.19

An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.

Answers

Answer:

78.3 or 78.29

Step-by-step explanation:

We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

Opposite/Hypotenuse

We use this equation

[tex] \sin(theta) = \frac{opp}{hypo} [/tex]

Plug in the values

[tex] \sin(31) = \frac{x}{152} [/tex]

Which is about 78.29

A computer processor costs $96.00. It is expected that in 8 months the processor will cost 3/4 its current price. How much will it cost in 8 months?

Answers

72

Step-by-step explanation:

96 × 3/4 = 72

Hope this helps! (:

Multiplication is a method of finding the product of two or more numbers. After 8 months the cost of computer processor is $72

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

It is given that,

A computer processor costs initially $96.00

It is expected that in 8 months the processor will cost 3/4 its current price.

Which means its cost will 3/4 times of 96.

Whenever we use times it means product or multiply.

Three by four times of ninety six

3/4 ×96.

288/4

72

Hence after 8 months the cost of computer processor is $72

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Challenge. A large university accepts ​60% of the students who apply. Of the students the university​ accepts, ​50% actually enroll. If 10,000 students​ apply, how many actually​ enroll?

Answers

10,000 x 0.6 = 6,000 are accepted
6,000 x 0.5 = 3,000 actually enroll

Answer: 3,000

Step-by-step explanation:

Apply= 10,000

University Accept= 10,000*60% = 6,000

Enroll= 6,000*50% = 3,000

Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g​

Answers

Answer:

If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.

Hope this helps.

help pleasseeeeeeeeee​

Answers

Answer:

B, C, E, F

Step-by-step explanation:

Could someone Please Help me with this?!?!?!?!

Answers

Answer:

-3

Step-by-step explanation:

To find slope use the equation [tex]y2 - y1 / x2 - x1[/tex]

1. Pick any two coordinate pairs to use in the equation. I'll choose (-2, 7) and (-1, 4).

2. Plug these coordinates into the formula. 4 - 7 / -1 - - 2

3.  Solve! -3/ 1 =  -3

4. The slope of this line is -3


The population of Williston is currently 21,200 people. If the population
increases at an average rate of 415 people per year, which equation could
be used to find the approximate number of years it will take for the
population to reach 27000 people?

Answers

[tex]21200 + 415(y)[/tex]

[tex]27000 = 21200 + 415(y)[/tex]

[tex]27000 - 21200 = 21200 - 21200 + 415(y)[/tex]

[tex]5800 = 415(y)[/tex]

[tex] \frac{5800}{415} = \frac{415(y)}{415} [/tex]

[tex]13.9759..... = y[/tex]

[tex]it \: will \: take \: about \: 14.0 \: years[/tex]

please help! thank u!​

Answers

Step-by-step explanation:

I cannot see the correct value so u check yourself. but this is the correct graph.

Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.

Answers

Answer:

10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Step-by-step explanation:

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.

Solution:

Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.

Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:

5x + 3y = 95       (1)

Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:

8x + 6y = 170         (2)

Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:

2x = 20

x = 10

Substitute x = 10 in equation (1):

5(10) + 3y = 95

50 + 3y = 95

3y = 45

y = 15

Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln

Solve for each of the following situations.
Megan ordered her favorite pizza with 12 slices. Sadly, she could finish only 75% of the whole pizza. How
many pizza slices are left?

Answers

There are 3 slices left.

75% of 12 is 9, meaning she ate 9 slices. 12-9 is equal to 3, so there are 3 slices left.

Answer:

She left 3 slices

Step-by-step explanation:

to find the number of slides that I have concluded, we will do the following

[tex] \frac{75}{100} \times 12 = 9[/tex]

Then She left

[tex]12 - 9 = 3[/tex]

A book sold 32,100 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.​

Answers

Answer:

Your answer.

345161.29

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

Answer:

345,161

Step-by-step explanation:

It means that [tex]32,100=.093x[/tex].  Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.

Please help meeeee!!!!!!!!! What’s the answer????

Answers

Answer:

The answer would be y= |x-2| -1.

When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))

3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b. ​

hiii this is adddmath can anyone help with this please

Answers

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3

Find x ( transversals relations )

Answers

Answer:

x = 12

Step-by-step explanation:

(8x - 34) and (5x + 2) are alternate angles and congruent, then

8x - 34 = 5x + 2 ( subtract 5x from both sides )

3x - 34 = 2 ( add 34 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Please help
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.

Answers

Answer:  

distributive property  

9x+15  

Step-by-step explanation:  

The distributive property is whenever you have () and distribute until you have zero of these ()

The equivalent expression simply means write this equation differently.

A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.

How many days, x, will it take the kitten to double its weight? Write and solve the equation.

Answers

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers

Answers

Answer:

Step-by-step explanation:

If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers

Let us represent:.

First number = x

Second number = y

If the sum of two numbers is 4

= x + y = 4

x = 4 - y

The sum of their squares minus three times their product is 76

x² + y² - 3xy = 76

We substitute 4- y for x

(4 - y)² + y² - 3(4 - y)y = 76

(4 - y)(4 - y) + y² - (12 - 3y)y = 76

16 - 4y - 4y - y² + y² - 12y - 3y² = 76

16 -20y - 3y² = 76

3y² + 20y - 16 + 76 = 0

3y² + 20y + 60 = 0

The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it

Answers

Answer:

around 37%

Step-by-step explanation:

120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6

if im being honest i used calculator . net's percentage calculator

What is 30% of 42?
I’ve given up on my hw pls help

Answers

Answer:

12.6 is the answer! happy to help ya :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

42(30/100)

12.6

What is the LCM of 10 and 12?

Answers

Answer:

The LCM of 10 and 12 is 60

Step-by-step explanation:

Hope this helped! :)

Answer:

i think its 60

Step-by-step explanation:

what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?​

Answers

Answer:

jbtcxey5x6ivb

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(2√2)^2

= (2^2× √2^2)

=(4×2)

=8

Plz answer only if u know u are correct

Answers

Answer:

Y=-2x+6

Step-by-step explanation:

write a linear equation of a line that goes through (8,0) and (-6,7)

Answers

Answer:

Line equation: y=−0.5x+4

Slope: -0.5

Intercept: 4

Step-by-step explanation:

PLEASEEEEEE!!! help with this
PLEASE EXPLAIN HOW TO DO THIS LIKE IN STEPS AND EVERYTHING

Explain, in detail, the steps on how to factor the following trinomial.
3x^2+5x +2

Answers

Answer:

(3x+2)(x+1)

Step-by-step explanation:

Given the quadratic equaton;

3x^2+5x +2

Factorize

(3x^2+3x+)(2x+2)

Factor out the common value from each bracket

3x(x+1) + 2(x+1)

3x+2(x+1)

Hence the factored form is (3x+2)(x+1)

Write as an addition problem: 22 - (-8)

Answers

Step-by-step explanation:

22+8

I think this ans may help you

Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
How much money will be in that account at the end of 4 years? Round your answer to the nearest
cent

Answers

Answer:  1034.44 dollars

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

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.0085/1)^(1*4)

A = 1034.43596172007

A = 1034.44

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

Notes:

P = 1000 is the deposit or principalr = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085n = 1 represents how many times per year we're compounding the money (ie annually)t = 4 = number of yearsThe result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.

Are these two triangles congruent? *

Answers

Answer:

not congruent because none of the angles match

Answer:

Not Congruent

Step-by-step explanation:

No.

Two corresponding sides measure 8 and 4.

The other two corresponding sides measure 7 and 3.5.

In order to be congruent, each pair of corresponding sides has to be congruent.

I need a lot of heeelp pleaseee

Answers

Answer:

i think its mn

Step-by-step explanation:

its the 2 close to qs

pls help its due now

Answers

Answer:

$2.25 is the cost of one pretzel

Step-by-step explanation:

6p/13.50

p=2.25

p= 2.25$ good luck big gangsta
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