A sequence is defined recursively by

a1=4

an=34an−1

What is the explicit form of this sequence?

Answers

Answer 1

9514 1404 393

Answer:

  an = 4×34^(n-1)

Step-by-step explanation:

If your recursive definition is ...

  [tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]

this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...

  [tex]a_n=a_1\times r^{n-1}[/tex]

For the values shown here, the explicit definition of the sequence is ...

  [tex]\boxed{a_n=4\times 34^{n-1}}[/tex]


Related Questions

A sports tournament has b teams. Each team has 8 players. Using b, write an expression for the total numbers of players in the tournament.

Answers

Answer:

The answer is 8b

Step-by-step explanation:

Hey, a variable is a filler for an unknown number. Don't let it confuse you too much!

If there were 5 teams, there would be 8(5) = 40 players, right??

With b teams, there are 8b players. We are lazy as mathematicians and don't say 8(b) or 8 x b. It's just 8b.

Thus, The answer is 8b

-TheUnknownScientist 72

4 Which graph shows x and y in a proportional
relationship?
A y
35
30
25
20
15
10
5 5
0
0 1 2 3
4 5 6 7 8
B.
Helicopter
У
35
30
25
Height (meters)
20
15
10
5
0
0 1 2 3 4 5 6 7 1
Time (seconds)
C.
Tickets
y y
140
120
100
Cost (dollars)
80
60
10
20
0
0 1 2 3 4 5 6 7 8
Number of tickets
Pizzas
УГ
35
30
25
Cost (dollars)
20
15
10
5
0
0 1 2 3 4 5 6 7 x
Number of pizzas

Answers

Answer: I'm sorry, I dont really know but here are some notes to help you with this.

Step-by-step explanation:   https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf

   

_-9-2=4

What is the missing number please

Answers

Answer:

28

Step-by-step explanation:

look it up lol

which is closer to one, 7/8 or 8/7?
Explain without converting to decimals or using common denominators.

Answers

Do you mean one as a whole or number?

This is what I have got:

7/8 because it is only 1/8 less than a whole

which of the following is true of the angle shown

the measure of the angle is greater than 360

the angle is not in standard position

the terminal side of the angle lies in quadrant 2

the angle can be measured in radians only

Answers

Answer:

the angle is not in standard position

Use the y- and x-intercepts to write the equation of the line. x- intercept (-6,0), y - intercept (0,-8)

Answers

The equation, according to these points, is equal to y = -1.4x + -8

(The -1.4 is rounded from a repeating -1.33333…)

Type the missing numbers in this sequence:
93, __, __, 87, 85, 83​

Answers

Answer:

if you noticed, it is reduces by 2

so the sequence would be

93, 91, 89, 87, 85, 83

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

Hope this helps!

Answer:

93,91,89,87,85,83

will mark brainliest!!
A traveler can choose from 4 airlines, 10 hotels and 5 rental car companies. How many arrangements of these services are possible?

Answers

200 arrangements of services

The video advises you to "be a deadbeat". What does that mean?
Pay your credit card bill in full and on time every single month, thus paying no interest or fees.
Make the minimum payment on your credit card on time each month.
Never open a line of credit so the credit card companies do not make any money.

Answers

Answer:

Pay your credit card bill in full and on time every single month, thus paying no interest or fees.

Step-by-step explanation:

In terms of credit-cards, a deadbeat is someone who pays off their bill in full every month, on time. They usually try to avoid paying their debts.

Hence, pay your credit card bill in full and on time every single month, thus paying no interest or fees.

What is the payment?

Payment is the exchange of cash, products, or services for a good or service.

Payments are normally made once all parties have concurred on the conditions.

You won't be charged interest or late fees if you pay off your credit card balance in whole and on time each month.

When it comes to credit cards, a deadbeat is someone who consistently pays their balance in full and on time each month.

Deadbeat - one who often avoids paying their own bills or expenditures

Typically, they make an effort to not pay their bills.

Hence, whenever possible, pay off your credit card balance in whole and on schedule to avoid paying interest or other costs.

To know more about the payment;

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#SPJ6

The sales tax rate is 10%. If Kyle buys a digital camera priced at $579.25, what will be the total cost including tax? Round your answer to the nearest cent:

Answers

Answer:

638.75

Step-by-step explanation:

Well you can actualy do this on a calculator If put in proporly use the 2nd button and push (sin) to get a tax percentage.

Answer:

637.17( not very sure what you mean by round to nearest cent)

Step-by-step explanation:

take the $579.25 and add 10% easiest way is on a calculator

Solve for the unknown angles

Marking you the brainliest​ provided you got it
right and with step by step explanation

Answers

Step-by-step explanation:

The angles a and b are congruent, also c and x are congruent.

a = b = 180° - 85° = 95° (supplementary, linear pair)c = x = 85° (corresponding, alternate interior)

Please help me I only have 10 points left so ten points I’ll give please help thank you I’ll give brainless to the first person

Answers

Answer:

It would be g(x) = 2^-x

Step-by-step explanation:

What is a multiplication table

Answers

Answer:

a table of products of two factors especially the integers 1 to 12 have a nice day

Step-by-step explanation:

:)

This is a multiplication table, it’s on the back of every composition book. It’s hard for me to explain but it shows you the answer of what the number you’re trying to multiple will come out to. For example the 3 on the top and the 5 on the left comes out the 15

What is the opposite of V3?

Answers

It should be -v3
Hope this helps

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

144%

Step-by-step explanation:

There are multiple ways to do this but here's the way I used:

2.50/100 = .025

Based on this, 1% of 2.50 is 0.025.

6.10-2.50 = 3.6

3.6/0.025 = 144

Based on this, 3.4 is 144 times greater than 0.025 (1%). So 3.4 is a 144% increase.

mr candy man is making bags of candy to reward students in his class. a blue bag contains 7 pieces of candy while a red bag contains 13 pieces of candy. if he has 106 pieces of candy and wants to use them all how many red bags can he make?
(I need help with this asap)

Answers

The answer is 8.1jjjjjjjjjjjjjjjjjjjj

How many centimeters are in a kilometer?

Answers

Answer:

100,000

Step-by-step explanation:

Answer:

there are 100000 meters in 1 kilo meter

Step-by-step explanation:

Darren’s taxable income is $27,481. He is filing as head of household, and he has already paid $3847 in federal taxes.

What will he receive or pay after he figures his taxes for the year?

Tax table of wages

He will receive a refund of $161.

He will receive a refund of $346.

He will pay $161.

He will pay $346.

Answers

Answer:

If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

he will receive a refund of 346 dollars

i just took the test

4. What is the mode of the data set below? (1 point) 0, 1, 1, 0, 2, 3, 2, 1, 0, 4, 1, 1​

Answers

The mode is the the common value.
There are 5 1’s and 3 0’s so the mode is 1

It usually helps to sort the values...
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4
as this makes finding the median easier as well

Oliver incorrectly states that the expression tan(3pi/4 + x) can be simplified as -1. Review Oliver’s work. Which statement explains why Oliver is incorrect?



Keyword gibberish:
The expression does not simplify not have a value if simplified to not equivalent to not
tan startfraction 3 pi over 4 endfraction + x

Answers

We want to see where Oliver is making a mistake in his claim.

The correct option is the first one, the simplification on the last step is wrong.

We start with the expression:

[tex]tan( \frac{3*pi}{4} + x)[/tex]

Now, by looking at Olvier's work, we can see that on the last step he writes:

[tex]\frac{-1 + tan(x)}{1 + tan(x)} = -1[/tex]

This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:

[tex]\frac{-1 + tan(x)}{1 + tan(x)} = \frac{-1 +1 - 1 tan(x)}{1 + tan(x)} = \frac{-2 + 1 + tan(x)}{1 + tan(x)} \\\\\frac{-2 + (1 + tan(x))}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + \frac{ 1 + tan(x)}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + 1[/tex]

Then the correct option is the first option.

If you want to learn more, you can read:

https://brainly.com/question/14324500

Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.

Answers

Answer:

look at the photo............

The area of a rectangular wall of a barn is 33 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn.

Answers

Answer:

Width=3ft

Length=11ft

Nyashid
Solving n/3 - 1 = 8

N/3-1 = 8 in the
Click New. You should now see the equation
Gizmo.
Step One: This equation has two operations, division an
subtraction. Which operation should you undo first?
Choose (drag) the correct step in the
Gizmo
Step Two: What operation should you undo next?
Choose (drag) the correct step in the Gizmo.
Stop & Check: Substitute your solution for n in the equation and
evaluate. Does your solution produce a true statement? If so, your
answer is correct!
TolutionWhat is the solution to n/3-1 = 8?

Answers

Step-by-step explanation:

first you need to tranfer 1 to RHS do the addition

n/3 = 8+1

=) n/3 = 9

then you need to transfer 3 to RHS and multiply

=> n = 9 x 3

there for n = 27

What is 24659 rounded to the nearest Highest Place

Answers

It will be 2000 as the highest place

Answer:

20000

Step-by-step explanation:

You take the first non zero number on the left then add zeros for the remaining digits.

Determine if the equations are intersecting, parallel, or coincident.
-2 +y = 8
- 3x + 4y = 28
intersecting
coincident
parallel

Answers

the answer is coincident

let H be the altitude from vertex C. Which proves the first equality in the law of sines​

Answers

The sine law of triangles can be proved by dividing the triangle into right-triangles.

Option (c) proves the first equality in the law of sines

From the question, we have:

h equals to the distance from point C to segment AB

The sine of angle is:

[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]

For angle at A, we have:

[tex]\mathbe{\theta = A}[/tex]

[tex]\mathbf{Hypotenuse = b}\\\mathbf{Opposite = h}[/tex]

So, we have:

[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]

Substitute values for Opposite, Hypotenuse and theta

[tex]\mathbf{sin A = \frac{h}{b}}[/tex]

Similarly

[tex]\mathbf{sin B = \frac{h}{a}}[/tex]

Make h the subject

[tex]\mathbf{h = a\ sinB}[/tex]

Substitute [tex]\mathbf{h = a\ sinB}[/tex] in [tex]\mathbf{sin A = \frac{h}{b}}[/tex]

[tex]\mathbf{sin A = \frac{a\ sinB}{b}}[/tex]

Divide both sides by a

[tex]\mathbf{\frac{sin A}{a} = \frac{sinB}{b}}[/tex]

Hence, the correct option is (c).

Read more about proof of sine law at:

https://brainly.com/question/4637169

2319471, how is this number read?

Answers

Step-by-step explanation:

#G

enjoy. my son haha. lol

solve pls brainliest

Answers

Answer:

53cm

Step-by-step explanation:

11+8+8+11+15=53cm

The answer above is correct

Your business requests a 3-month loan for
$500,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.0% and LIBOR is at 2.1%?
interest paid = $ [?]
=
Round to the nearest hundredth.
Entor

Answers

Answer:

im preety sure its 561500

Step-by-step explanation:

4.1% x 4 is 61500 + 500000 = 561500

You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?

Answers

Answer:

$16.25

Step-by-step explanation:

First, you have to find 3.25*5 which is 16.25.

16.25 is the percent rate of your total interest over the course of 5 years.

In other words, you have to do 200*0.1625 which is 32.5.

So, your answer is $16.25.

Good luck!

$16.25 I took the test
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