Find the 14th term of the geometric sequence 2, 4, 8,

Answers

Answer 1

Answer:

16,384

Step-by-step explanation:

The pattern is times 2

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384

The 14th term is 16384

Answer 2

The required 14th term of the given geometric sequence 2, 4, 8, is 16384.

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The geometric sequence is given in the question as:

2, 4, 8, ...

To determine the 14th term of the geometric sequence 2, 4, 8, you can use the formula for the nth term of a geometric sequence, which is [tex]a_n = a_1 \times r^{(n-1)}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio.

In this case, the first term is 2, the common ratio is 2, and the term you want to find is the 14th term, so you can plug these values into the formula to get:

[tex]a_{14} = 2 \times 2^{(14-1)}[/tex]

= 2 × 2¹³

= 2 × 8192

= 16384

Therefore, the 14th term of the geometric sequence is 16384.

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Related Questions

Find the total amount of money you will have after 4 years if you begin with $500 at an interest rate of 3%

Answers

Answer: total amount of money = Initial amount × rate × time in years

= 500 × 3 × 4 = 6000 dollars.

I need help thank you

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Answer:

C i think

Step-by-step explanation:

pls mark brainlyest

Answer:

B. HL

Step-by-step explanation:

can someone help!!! i’ll give brain thing if it’s right!!

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Answer:

18x + 24y + 12y

Step-by-step explanation:

Distribute

Answer:

18x+24y+12y

18x+36y

Step-by-step explanation:

6(3x+4y+2y)

18x+24y+12y

18x+(24y+12y)

18x+36y

Flor tiene una papelería y vende los lápices en $12 y los bolígrafos en $20. ¿Qué expresión algebraica permite saber cuánto debe cobrar Flor por 10 bolsas que contengan x cantidad de lápices y "y" cantidad de bolígrafos?

Answers

Answer:

c=120x+200y

Step-by-step explanation:

La expresión algebraica debería indicar que el valor total que debe cobrar Flor es igual a 10 que representa el número de bolsas por el resultado de la suma del precio de cada item por la cantidad, lo que se puede expresar de la siguiente forma:

c=10(12x+20y)

c=120x+200y

De acuerdo a esto, la expresión algebraica que permite saber cuánto debe cobrar Flor por 10 bolsas que contengan x cantidad de lápices y "y" cantidad de bolígrafos es c=120x+200y.

Stanley's milkshake recipe calls for 5/6 of a scoop of ice cream and Charlie's recipe calls for 1/3 of a scoop. How many more scoops of ice cream are used in Stanley's recipe than in Charlie's recipe?

Write your answer as a fraction or as a whole or mixed number.

scoops

Answers

Answer:

3/6 or 1/2 scoop

Step-by-step explanation:

Answer:

1 1/2 more

Step-by-step explanation:

If you convert 5/6 to a 3rd it would be 2.5/3

2.5 - 1= 1.5.

1.5 as a fraction is 1 1/2.

Hope this helps!:)

-Amelia

pls help. need explanation too pls

Answers

Answer:

-3 ≤ x ≤ 13

Step-by-step explanation:

Values on x- axis between -3 and 13 both numbers included:

x = [-3, 13]-3 ≤ x ≤ 13

Determine the value of x that would make quadrilateral LMNO a parallelogram.
3
9
11
18​

Answers

Answer:
x=9
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. For quadrilateral LMNO to be a parallelogram, LP must equal PN, and OP must equal PM.
Set OP equal to PM and solve for x.
PM=OP
3x-9=18
Add 9 to both sides.
3x=27
Divide both sides by 3.
x=9

Answer:

9

Step-by-step explanation:

(4x+1)+(5x-4)+E=180, find E

Answers

Answer:

(4x + 1) + (5x + 4) + E = 180.

Simplify: Combine the x values

4x + 5x = 9x.

Now add 4 + 1 = 5.

So far we have; 9x + 5 + E = 180.

180 - 5 = 175.

9x = 175

175/9 = 19.4 repeated. X = 19.4 repeated.

Substitute in the value we have so far.

(4 x 19.4 repeated + 1) + (5 X 19.4 repeated + 4) = 180

So, E must be 0 for this equation to work.

Step-by-step explanation:

Hope that this helps you out!! :))>

Please mark me as Brainliest for my hard work and correct answers.

The answer is 0
Hope this helps!!

A can vegetables has radius 1.8 inches in height 5.7 inches find the volume of the can use 3.14 for Pi

Answers

Answer:

about 58

Step-by-step explanation:

HELP PLEASE I NEED HELP WITH THISSSSSSSSSS

Answers

The scale is 1: .25 which could also be seen as 4:1 so the big triangle is 4 times as big as the smaller one. The big one is 8 so divide that by 4 to get our answer which is 2
I think the answer is x=2 because
8x0.25= 2

Help on 19-20 Do not explain

Answers

Answer: 19. 4.5 20. -120

Step-by-step explanation:

A cable company had 132 subscribers. The ratio of regular subscribers to premium subscribers was 3:8. How many regular subscribers did they have?

Answers

Answer: 49.5 ~50

Step-by-step explanation: 132/8=16.5 16.5(3)=49.5

Answer:

49.5

Step-by-step explanation:

Solve using the substitution method. What is the y coordinate of the solution?

y = 3x - 6

15 x + 3y= 30

Question 1 options:

y = 2


y = -2


y= 3x -6


y = 0

Answers

if this is solve using system of equations it would be 2,0 for substitution

which table is proportional?

Answers

answer: 1 and 3
.......

PLEASE HELP!!! GIVING BRAINLIEST AGAIN!!!

Answers

Answer: I still don’t see it :/

Step-by-step explanation:

A car bought for $13,000 depreciates at a rate of 15% per year. Use an exponential function to find the value of the car after 5 years.

show work plz i will give you crown

Answers

Answer:

$ 11093

Explanation:

Recall that the formula for compound interest is:

A = P ( 1 + r/ n ) n ( t )  

−−−−−−−−−−−−−−−−−−−−−−  

where:

A =  future value

P  =  principal (starting) amount

r  =  annual interest rate, expressed as a decimal

n  =  number of times the interest is compounded in a year

t  =  number of years compound interest occurs for

1 . Start by substituting your known values into the formula. Note that the annual interest rate is  − 0.15  since the car depreciates (becomes lower in value) each year.

A = 25000 ( 1 + − 0.15 1 ) 1 ( 5 )  

2 . Solve for  A .

A = 25000 ( 0.85 ) )5

A = 11092.63

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

A ≈ $ 11093 a    

−−−−−−−−−−−−−−−

Answer:

Answer is $5,768.17

Step-by-step explanation:

Equation is as follows:

13,000(1-0.15)^5  =

13000(0.85)^5 = 13000x0.44370531  = 5,768.17 (rounds up)

.

In triangle ABC the measure of

Answers

D because it’s the angle of the measure

Answer:

D

Step-by-step explanation:

Find the product.

0.46 x 0.23
A. 0.0230
B. 0.1058
C. 0.01058
D. 0.958

Answers

The answer is letter B) 0.1058

Answer: it is b

Step-by-step explanation:

If the sales tax rate is 7.5%, then how much sales tax would you pay for a $25 pair of pants?

Answers

Answer:

$26.88

Step-by-step explanation:

25(1.075) ≈ 26.88

Answer:

You'd pay $26.88

Step-by-step explanation:

So, you do 7.5%(25).

Then, you have 1.875, which rounds to 1.88

Next, you add 1.88 to 25.

Finally, you got your answer, $26.88

solve for x for the triangle

Answers

Step-by-step explanation:

90° + 2x-2 + x+5 = 180° [Angle sum property of triangle]

=> 90 + 2x + x - 2 + 5 = 180°

=> 3x + 93 = 180

=> 3x = 180 - 93

=> 3x = 87

[tex] = > x = \frac{87}{3} [/tex]

=> x = 29 (Ans)

Evaluate the expression x + 9 when
x = 10

Answers

Answer:

19

Explanation:

Plug in x for x + 9. Once you do that, you’ll be able to get the answer.

Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang

Answers

Answer:

Pang, Ruben, Adela, Tony

Step-by-step explanation:

Given that

Adela: 0.75 year

Tony: 11

10

years

Pang: –0.8 year

Ruben: -1

2

year

So according to this the third option is correct as it represent the ordered from least to greatest

Answer:

c

Step-by-step explanation:

yes

Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

Plz hurry D:

Answers

Answer:

I beleive Kasey can make 36 servings of gelatin. If you want you can check your answer by using the steps I provided.

Step-by-step explanation:

1. First we need to see how many times 1 1/3 can go into 8, or (how many gelatin molds can be filled. So, we will divide 8 divided by 1 1/3 to get (6.)

2. So, since we can fill 6 gelatin molds and each mold makes six servings, we will multiply 6 times 6 to get our answer 36.

NEED ASAP!!

Name all the radii shown on this circle. Select all that apply.

Answers

All the radii are-

SO

RO

AO

BO

Answer:

O to S

O to R

O to B

O to A

Step-by-step explanation:

Radius is any line that connects the center of the circle to a point on the circle.

factor completely and explain 4xy-14x+16y-56​

Answers

Answer:

2(2y−7)(x+4)

Step-by-step explanation:

Factor 4xy−14x+16y−56

4xy−14x+16y−56

=2(2y−7)(x+4)

Need help checking my answers thanks!!

Answers

Yes they are correct :)

If 20 yards of carpet weighs 30 pounds, how much do 34 yards weigh in pounds?
PEOPLE!!!!! I NEED HELP! I HAVE AN EXAM COMING IN 2 DAYS!! PLEASE HELP!

Answers

Answer:

20/30=x/34

2/3=x/34

3x=2×34

3x=68

x=68/3

x=22.67pounds...

34 yards of carpet weighs 51 pounds.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 20 yards of carpet weighs 30 pounds.

Here, 1 yard of carpet weighs = 30/20

= 1.5 pounds

34 yards of carpet weighs

= 34×1.5

= 51 pounds

Therefore, 34 yards of carpet weighs 51 pounds.

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Help me please I’ll mark you as brainliest

Answers

Answer:

not 100 percent sure but i think f

Step-by-step explanation:

The population of bacteria in an
experiment is increasing by 90% each
day. If there were 100 bacteria at the
beginning of the experiment, predict the
number of bacteria in 5 days.
First, complete the equation:
Future Amount = 100(1 +0.90) [?]

Answers

Answer:

5

Step-by-step explanation:

5 makes sense since the period of time this takes place is 5 days. therefore [?] should be 5

The number of bacterias increases in 5 days will be 1790.

What will be the bacterial growth?

The bacteria number is increasing day by day the function which shows the bacterial growth is given as Future amount = 100(1+0.9)⁴'⁵.

Now the bacterial growth will be:-

Future amount    =   100   (   1   +  0.9   )⁴'⁵.

Future amount    =   100   (   1.9   ) ⁴'⁵.

Future amount   =   1790

Therefore the number of bacterias increases in 5 days will be 1790.

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I forgot how to do this please help

Answers

The answer is in the text just look at it closer
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