Write an equation to fond the nth term of each sequence. Then find a9. 5,20,80

Answers

Answer 1

Answer: a₉ = 327,680

Step-by-step explanation:

This seems to be a geometric sequence.

The recursive relation for this type of sequence is:

aₙ = aₙ₋₁*r

Where r is a constant.

Then we also have:

aₙ/aₙ₋₁ = r.

then we can find the value of r if we take the quotient of different consecutive terms, for example, the quotient of the second and firs term is:

r = 20/5 = 4

And the quotient between the third and second term is:

r = 80/20 = 4

Then we can conclude that r  = 4.

And also, the n-th term of this sequence can be written as:

aₙ = a₁*r^(n - 1)

such that:

a₁ = 5

r = 4

Then the n-th term of this sequence is:

aₙ = 5*(4)^(n - 1)

Then the term a₉ can be found if we just replace n by 9 in the above equation:

a₉ = 5*(4)^(9 - 1) = 5*(4)^(8) = 327,580


Related Questions

5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.

Answers

Answer:

it hard too

Step-by-step explanation:

it's hard also so

Answer:   180

an = a1 + (n - 1)d

a1 = 6 [1st term]

d = 4 [common difference]

n = 30 [30th term]

a30 = 6 + (30 - 1)*6 = 180

which number is equal to 15 a)0.015 b)1.5 c)150/100 d)3/20

Answers

Answer:

c

Step-by-step explanation:

Answer: 150/100

Step-by-step explanation:

What is a correct procedure for solving the equation above?Need now‍♀️

Answers

X= 6 is your answer I know the answer but I’m not sure how to explain by typing

work out 1/5 of 80 =

Answers

Answer:

16

Step-by-step explanation: your welcome

Help!

Jesse bought a 340-gram bag of coffee beans. He uses 18.75 grams of coffee beans each day. When there are 40 grams of coffee beans remaining in the bag, Jesse will buy another bag to
make sure
he doesn't run out of coffee.

How many days can be use the 340-gram bag of coffee beans before he buys a new bag?

Answers

Answer:

Jesse should buy a new bag in 16 days.

Step-by-step explanation:

He uses 18.75 grams a day.

We can multiply the amount of grams by the amount of days.

18.75 x 16 = 300

He stops using the bag when he uses 300 grams.

So he uses 1 bag for 16 days

1 bag can last for 16 days.

Answer:

Jesse should buy a new bag in 16 days

Step-by-step explanation:

1.) The _____ value of your ordered pair is the input

2.) The _____ value of your ordered pair the output

Answers

1. x-value
2. y-value
1.) X-value

Reason: the set of inputs, also called x-coordinates, of the order pairs.

2.) Y-value

Reason: the range the set of outputs, also called y-coordinates of ordered pairs.

will give brainliest!!!!!!!!

Answers

Answer:

Step-by-step explanation:

wait why cant you do this yourself its just two equtions with the same answer that you can make if i make it than its not yours

What is the measure of 40 angle A’B’C’?

Answers

Answer:

angle ABC is a straight angle or, 180°

Liam spent 1 3/4 hours playing board games ad 2 1/4 hours watching a movie. About how much time did Liam spend altogether on these two activities ? round each mixed number to the nearest whole number. explain how you got the answer.

Answers

Answer:

4 hours

Step-by-step explanation:

1 3/4+ 2 1/4= 3 4/4

3 4/4 is equal to 3 and 1

3+1=4

can someone help me do this darn work plz

Answers

Answer:

13. 17/20

14. 11/100

16.) 4 3/10

17.) 7 3/4

19.) -1 3/5-

20.) 3/8

22.) -5 3/5

23.) 1 3/25

26.) 85.33%

Answer:

13. 17/20

14. 11/100

16. 4 3/10

17. 7 3/4

19. 1 3/50

20. 3/8

22. -5 3/5

23. 1 3/25

25. 6.34%

26. 85.33%

Find the value of x.

Answers

Answer:

60 is in the middle of 50 and 70 try 60

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Plzz helpp I’ll mark brainiest

Answers

Answer is year 3
Ben 19
Amy 22

Answer:

Ben $19 Amy $22

Step-by-step explanation:

$10+ ($3*3)=$19

$13+($3*3)=$22

URGENT,PLEASE HELP!!!!!if -2 is the solution of the equation 2x+1-3c=2c+3x-7, find the value of c.​

Answers

Answer:

Step-by-step explanation:

A department store buys 200 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.

Answers

Given:

A department store buys 200 shirts at a cost of $3,600 and sells them at a selling price of $20 each.

To find:

The percent markup.

Solution:

A department store buys 200 shirts at a cost of $3,600. So, the cost price of each shirt is

[tex]C.P.=\dfrac{3600}{200}[/tex]

[tex]C.P.=18[/tex]

So, the cost price(C.P.) is $18 each.

The selling price(S.P.) is $20 each.

Now,

[tex]\text{Percent markup}=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]\text{Percent markup}=\dfrac{20-18}{18}\times 100[/tex]

[tex]\text{Percent markup}=\dfrac{2}{18}\times 100[/tex]

[tex]\text{Percent markup}=\dfrac{1}{9}\times 100[/tex]

[tex]\text{Percent markup}\approx 11.11\%[/tex]

Therefore, the markup percent is 11.11%.

Me pueden ayudar por favor

Answers

Answer:

Más información por favor

Step-by-step explanation:

if the perimeter of a rectangle is 28 inches and the length of the is 6 inches what is the width of of the rectangle

Answers

Answer:

8

Step-by-step explanation:

6*2 = 12

28 - 12 = 16

16/2 = 8

8 is the total answers

What is the most frequent number (Mode) in this set of data? 10, 4, 12, 15, 7, 6, 15, 9, 14

Answers

Answer:

15

Step-by-step explanation:

Because it occurs the most in the set of numbers.

10. Write the equation of a line in slope-intercept form that passes
through the points (-2, 3) and (0,8).
y = mx + b
Equation:

Answers

Answer:

Step-by-step explanation:

5/2

The equation in slope intercept form is
y=5/2x + 8

Hope this helps! :)

−72=8d

Help me


Plzzzzzzz

Answers

Answer: d= -9

Step-by-step explanation:

Find the distance between the two points. Round to the nearest tenth if necessary.

(–6, 12), (–3, –7)


A.
19.2


B.
16


C.
5.8


D.
21

Answers

Answer:

A. 19.2

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Exact Form:

370

Decimal Form:

19.23538406

Find the value of x.

Answers

Answer:

12

Step-by-step explanation:

2DE = BC

8n = 6n + 6

2n = 6

n = 3

4n = 4(3) = 12

Can some pls help me I will cash app you

Answers

Answer:

The value of x is -1

Step-by-step explanation:

What is the complete factorization of 8x2 − 8x + 2?


A. 2(4x − 1)2

B. 8(x − 1)(x + 1)

C. 2(2x − 1)2

D. 2(x − 2)(x + 2)

Answers

Answer:

Step-by-step explanation:

8x^2 - 8x + 2

2(4x^2 - 4x + 1)

2(2x - 1)(2x - 1) or 2(2x - 1)^2

answer is C

The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

What is factorization ?

Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.

We have,

[tex]8x^2 - 8x + 2[/tex]

Using the mid term splitting method;

[tex]=8x^2-4x-4x+2[/tex]

[tex]=4x(2x-1)-2(2x-1)[/tex]

[tex]=(4x-2)(2x-1)[/tex]

[tex]=2(2x-1)(2x-1)[/tex]

[tex]=2(2x-1)^2[/tex]

So, the factorization of the given expression is given in option [tex](c)[/tex]  i.e.   [tex]2(2x-1)^2[/tex] .

Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

To know more about factorization click here

https://brainly.com/question/11994062

#SPJ2

A pool measuring 80 ft long × 40 ft wide × 16 ft high is half filled with jello for a charity event. A second pool that measures 50 ft long × 16 ft wide × 12 ft high is completely filled with jello. All the jello in the second pool is pumped into the first pool. What is the height of the jello in the first pool now?

Answers

Answer:

The answer is  11

Step-by-step explanation:

4a^2b^2,12ab^2,-8a^2b

Answers

Did that help you...hopefully


Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?
A)50 cubic yards
B)1,500 cubic yards
C)1,850 cubic yards
D)4,500 cubic yards
PLEASE HELP WHOEVER ANSWER CORRECT FIRST GETS BRAINLIEST

Answers

B would be the correct answer if right mark me Brainly

3/6 + 1/2 what is the answer.​

Answers

Answer:

reduce 3/6 to lowest terms which would be, 1/2 because 3 goes into 3 once and 3 goes into 6 twice.  

Making your equation simplified to

1/2 + 1/2

which is equal to 1

1/2 + 1/2 = 1

Step-by-step explanation:

Hope this helps! Have a fantastic day and please mark brainliest

Answer:

3/6+1/2

find the lcm of 6&2 = 6

3+3/6= 6/6 = 1

X, y and mans shadow length?

Answers

Answer:

x = 9.6 meters

y = 20.98 meters

Shadow length = 11.38 meters

Step-by-step explanation:

By applying tangent rule in right triangle ABD,

tan(21)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(21) = [tex]\frac{x}{25}[/tex]

x = 25(tan 21)

x = 9.5966

x ≈ 9.60 meters

Similarly, by applying tangent rule in ΔABC,

tan(40)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(40)° = [tex]\frac{BC}{AB}[/tex]

tan(40)° = [tex]\frac{y}{25}[/tex]

y = 25(tan 40°)

y = 20.98 meters

Length of the shadow of the man = y - x

                                                        = 20.98 - 9.60

                                                        = 11.38 meters

help plzz ill give extra help

Answers

Answer:

D. 360 cubic cm

Step-by-step explanation:

Answer:

D. 360 cubic cm

Step-by-step explanation:

Use l*w*h

12*6*5

= 360

Apples are on sale for $3 for 1/3 of a pound. How many pounds can you buy for
$10?

Answers

10/9 or 1 1/9 pounds
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