what is the 8th term of the geometric sequence 8,16,32

Answers

Answer 1

the 8th term of the geometric sequence 8, 16, 32 is 1024

Explanation

we know that

geometric sequence 8, 16, 32

the question is

the 8th term

the answer is

first we have to find the ratio

[tex] \sf r= \frac{ U_2}{U_1} \\ \sf r= \frac{ 16}{8} \\ \sf r = 2 [/tex]

than, we have to find the 8th term

[tex] \sf U_n = ar^{n-1} \\ \sf U_8 = 8 \times 2^{8-1} \\ \sf U_8 = 8 \times 2^7 \\ \sf U_8 = 8 \times 128 \\ \bold {\sf U_8 = 1024} [/tex]

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Answer details

grade: 7th

subject: mathematics

chapter: sequence

keywords: geometric sequence


Related Questions

Need help please!!!!!

Answers

Answer:

0 or 5/12

Step-by-step explanation:

with everything subtracted its 0 but with only subtracting 1/6 its 5/12

a company makes a cone-shaped container with a height of 15 in. The area of its base is about 78.8 in.2 Approximately what is the volume if the container?

Answers

Answer:

Approximately the volume of cone-shaped container is 393 in³.

Step-by-step explanation:

find the composition of transformations that map ABCD to EHGF

Answers

Answer:

(x - 1, y + 1 )

Step-by-step explanation:

Consider the reflection in the y- axis

A point (x, y ) → (- x, y )

Consider the reflection of point A

A(- 5, 2 ) → A'(5, 2 )

Now A → E after the transformations

E = (4, 3 ), thus

A'(5, 2 ) → E(4, 3 )

(x, y ) → (x + (- 1), y + 1 ) = (x - 1, y + 1 )

The translation rule is (x, y ) → (x - 1, y + 1 ).

What is Translation?

In mathematics, translation is a transformation that moves every point of a figure or a graph the same distance and in the same direction. The object being translated retains its size and shape, but its position changes.

Consider the reflection in the y- axis

A point (x, y ) → (- x, y )

Consider the reflection of point A

A(- 5, 2 ) → A'(5, 2 )

Now A → E after the transformations

E = (4, 3 ), then

A'(5, 2 ) → E(4, 3 )

Thus, the translation rule is (x, y ) → (x + (- 1), y + 1 ) = (x - 1, y + 1 )

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Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S

Answers

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

x1 = -6 and y1 = 5

x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = [tex]\frac{-3-5}{-4--6}[/tex]

∴ m = [tex]\frac{-8}{-4+6}[/tex]

∴ m = [tex]\frac{-8}{2}[/tex]

∴ m = -4

The slope of the given line is -4

aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help

Answers

Multiply both sides and you should get X= 27

Answer:

x = 27

STEP BY STEP:

3 = x/9

3 = x/3 x 2

9 x 3 = x

27 = x

x = 27

Hope this helped! Have a good day!

What is y + 5 = 7(x– 8) written in standard form?
Choose 1 answer:
A) x-7y=-61 B)-7x+y=-61 C) x+7y=-61
D) 7x + y = -61

Answers

Answer:

B)-7x+y=61

Step-by-step explanation:

y + 5 = 7(x– 8)

y + 5 =(7xX)(7x-8)

y + 5 =(7x)(-56)

y – 5 =(7x)(-56+-5)

y=7x-7x-61/

-7x+y=-61

(umm can anyone help me please) I’ll give brainlist <3

Answers

Answer:

12

Step-by-step explanation:

8 times 1.5

i need serious help cause i didnt pay attention at all in class

Answers

Answer:-3<y<2

The answer should be D

a scientist is running a simulation of a hypothetical city since she wants to explore its environmental impact over time the city's population is increasing 15 percent every year and there are currently 57,000 people what will the population be in 12 years?

Answers

I have no clue if this is correct but the answer I got was 10,260,000

Answer:

203,549 !!!

Step-by-step explanation:

what is the slope of the 2 points (10,15) (6,23)

Answers

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

please help me 30 minutes more please please

Answers

Answer:

a. 5 . 2/ -1 + -8

b. 5+ (-1) multiply ( 4 -8)

c. 15 -1^3

Step-by-step explanation:

Plz help me out I’m so confused

Answers

Answer:

b

Step-by-step explanation:

Answer:

The correct answer would be the second option y-2=1/3(x-3)

If f(x) = 3x + 2, what is f(5)?

Answers

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation:

If f(x) = 3х + 10, find f(4)
A
f(4) = 17
f(4) = 22
с
22
f(4) = 17

Answers

the second one is the answer: f(4) = 22

how are ASA and AAS used to show that triangles are congruent?

Answers

Answer:

If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.

In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.

What is triangle?

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.

The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.

The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.

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In an experiment, the variable that is manipulated is called the?
Measurement variable
Explanatory variable
Response variable
Confounding variable

Answers

Response variable.....

Answer:

Explanatory Variable is the right answer it is the variaable being manipulated and observed.

Step-by-step explanation:

help plsss im begging

Answers

Answer:

The answer is A, $330

Step-by-step explanation:

Answer:

330$

Step-by-step explanation:

165-123.75=41.25

41.25+41.25=82.50

247.5+82.5=330$

Hope this helps

NEED ASAP Triangle XYZ is similar to triangle PDQ. The measures of the angles in triangle XYZ are shown in the table. What is the measure of angle D?

Answers

Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

Solve using graphing substitution or elimination in the picture

Answers

Answer:

1) 18 quarters and 30 nickels2) 8 quarters and 12 nickels

Step-by-step explanation:

1) Let quarters be x and nickels be y.

Equations based on given, 48 coins, total of $6 = 600c:

x + y = 4825x + 5y = 600

Substitute y in the second equation, y = 48 - x

25x + 5(48 - x) = 60025x + 240 - 5x = 60020x = 360x = 18

Then value of y is:

y = 48 - 18 = 30

2) Similarly to problem 1.

x + y = 2025x + 5y = 260

Substitution: y= 20 - x

25x + 5(20 - x) = 26025x + 100 - 5x = 26020x = 160x = 8

Then finding y:

y = 20 - 8 = 12

How many terms are in the expression below?

-4x + 7 + 2x + 10

Answers

Answer:

3

Step-by-step explanation:

What's the probability of drawing a 5 out of a standard deck of 52 cards

Answers

4/52 = 1/13 ... there are four 5 cards in a deck and 52 cards in a standard deck so 4/52 !

Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa. Con la cuarta parte del dinero compró una bolsa de palomitas y le sobraron 5 euros. ¿Con cuánto dinero salió de casa?

Answers

Answer:

Héctor salió de su casa con 12 euros.

Step-by-step explanation:

Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:

[tex] C = \frac{1}{3}x [/tex]    (1)

Cuando compró una bolsa de palomitas con la cuarta parte:

[tex] P = \frac{1}{4}x [/tex]    (2)                                  

Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:

[tex] x - C - P = 5 [/tex]

[tex] x - \frac{1}{3}x - \frac{1}{4}x = 5 [/tex]

[tex] x = 12 [/tex]

Por lo tanto, Héctor salió de su casa con 12 euros.  

Espero que te sea de utilidad!    

Giving brainliest to best answer

Answers

Plsss im becoming a expert ok peepeepoopoo

Answer:

Questions??

Step-by-step explanation:

Will you mark me as brainlist?

Given the function
f(x)=-1/2(1-x)^2,
find f(-5).

Answers

Answer:

f(x)= -1/2(1-x)^2

replacing x with -5 since -5 was given as the function

f(-5)=-1/2(1-5)^2

according to bodmas we solve what is in the bracket first

f(-5)=-1/2(-4)^2

f(-5)=-1/2(16)

-1/2*16/1

-16/2=-8

Which of the following words describe the slope of a vertical line?
a. negative
c. undefined
b. positive
d. zero

Answers

Answer:

Undefined the slope is a slope line

Step-by-step explanation:

It is horizontal straight across

Estimate 5,860÷2.1≈
i really need help on it.

Answers

Answer: it 2790

Step-by-step explanation:

The value of 5,860÷2.1 is 2790.

What is division?

In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.

What are the terminologies used in the division?

dividend, divisor, quotient remainder.

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What’s the measure of STX?

Answers

Answer: 113

Step-by-step explanation:

47+66=x

113=x

What is the value of fraction x plus z plus y over, y, end fraction, when x equals 7, y equals minus 5, and z equals square root of 9 ?

Answers

7+3+(-5)/-5
10-5/-5
5/-5
-1

USAA is offering a retirement account that is compounded monthly. This account earns 1% interest. His money can remain there for 20 years. He can withdraw it at any time without a penalty. (exponential function equation)

Answers

Answer:

what are we supposed to answer???

Step-by-step explanation:

The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.

What price did Arianna pay for the ski jacket?

Answers

$143
add the two discounts of 25 and 10 percent. then your item will be 65% of the price now.
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