Select the correct answer.
Consider the first four terms of the sequence below.

-3, -12, -48, -192, . . .

What is the 8th term of this sequence?

A.
-196,608
B.
-49,152
C.
-12,288
D.
-768

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

Consider the first four terms of the sequence are,

⇒ -3, -12, -48, -192, . . .

Here, Common ratio is,

⇒ - 12 / - 3

⇒ 4

Thus, The sequence are in Geometric sequence.

Hence, The value of 8th term of this sequence is,

⇒ a (8) = - 3 × (4)⁸⁻¹

⇒ a (8) = - 3 × 4⁷

⇒ a (8) = - 3 × 16,384

⇒ a (8) = - 49,152

Thus, The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

Learn more about the geometric sequence visit:

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Related Questions

What is the absolute value of -7? How far is it from zero?

Answers

It is 7 away from zero

Answer: The absolute value is -7 and is -7 far away from 0.

Step-by-step explanation:

The measure of ZPQS is 180°. The measure of ZRQS is 30°.
R
30°
P
S
What is the measure of ZPQR?
A. 60°
B. 120°
C, 150°
D. 210°

Answers

the measure of ZPQR is C. 150°

A number is decreased by 15% and the resulting number is then increased by 20%. That final number is what percent of the original number?

Answers

Answer:

The final final number becomes 102 % of the original number

Step-by-step explanation:

Let the initial number be 100

After decreasing 15%, the new number is 100-15% of 100 = 85

The resulting number is then increased by 20%. The new number will be

85 + 20% of 85 = 85 + 17 = 102

The final final number becomes 102/100 * 100  percent of the original number

The final final number becomes 102 % of the original number

At the Pizza place, 12% of the pizzas made last week had extra cheese. If 30 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

Answer: 250

Step-by-step explanation:

Given

12% of the Pizzas had extra cheese

If those pizzas were 30 in number

Suppose, x be the total Pizzas

So, 12% of x is 30

[tex]\Rightarrow x\times \dfrac{12}{100}=30\\\\\Rightarrow x=250[/tex]

Thus, 250 Pizzas were maid last week

Help please.

Tony and Edwin each built a rectangular garden. Tony’s garden is half as long and 6 times as wide as Edwin’s garden. If the area of Edwin’s garden is 400 square feet, what is the area of Tony’s garden?

Answers

Answer:

1200 ft²

Step-by-step explanation:

Let's say that Edwin's garden was 400 feet long and 1 foot wide.

If Tony's garden is half as long and 6 times as wide, then we need to divide 400 in half and multiply 1 by 6 to get the dimensions of Tony's garden.

400/2 = 200 ft

1 × 6 = 6 ft

Area of Tony's Garden = 6 x 200 = 1200 ft²

Compare |-2/5| and |-3/8|

Answers

Answer:

2/5 and 3/8

2/5 is greater than 3/8

Step-by-step explanation:

Those parallel lines mean absolute value which means no signs no positive nor negative.

i need answer for 4 a)

Answers

I am pretty certain the answer is 3.04. If you need any further explanation just ask!

Answer:

4a). 0.52

Step-by-step explanation:

-2(-5.2) × 0.1÷2= 0.52

PLEASEEE HELP ASAPPPP!!!! ​

Answers

Answer:

(-15,3) (2,-11) (-3,-7) (12,4)

Step-by-step explanation:

tell me if im wrong

On Tuesday the temperature is 1 ºC. By Wednesday it has dropped to –2 ºC. The temperature drops by twice as much from Wednesday to Thursday. What is the temperature on Thursday?

Answers

Answer: [tex]-8^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature on Tuesday is [tex]1^{\circ}C[/tex]

Temperature drops to [tex]-2^{\circ}C[/tex] on Wednesday

Net drop in temperature [tex]1-(-2)=3^{\circ}C[/tex]

The temperature drops twice from Wednesday to Thursday

[tex]\Delta T=2\times 3=6^{\circ}C[/tex]

Temperature on Thursday

[tex]\Rightarrow -2-6=-8^{\circ}C[/tex]

Which of the following student below will qualify for a grant?

Answers

Answer:

A: Ruby only

Step-by-step explanation:

ANYBODY?!?!! HELPPP PLEASEEE!

Answers

egyuyeyuehebdfhvgebfjhaifhldan dhsgojkna jbhope

Write a positive or negative number to represent each change in the high temperature. Tuesday's high temperature was 4 degrees less than Monday's high temperature. *

Answers

Answer:

-4

Step-by-step explanation:

what is the equation of a vertical line that passes through the point (3 -5)

Answers

Answer:

x=3

Step-by-step explanation:

When Julie jogs, she burns 255 calories in 15 minutes and 340 calories in 20 minutes. Which equation represents how many calories she can burn per minute
(A)C = 17m
(B) C= 15m
(C) C = 85m
(D) C = 20m

Answers

C because I just know add and multiple and dived

sam is building a model or an egyptian pyramid out of cardboard. he plans to make asquare base with an edge of 16 inches. The height of each triangular face is 9 inches . Determine the total amount of cardboard he will use for all the surfaces in square inches

Answers

Answer:

544

Step-by-step explanation:

Help 10 pts!
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region?
Round answer to the nearest whole percentage?
A. 49%
B. 59%
C. 69%
D. 79%

Answers

Answer:

D. 79%

Step-by-step explanation:

Took the the on USA Test prep

If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.

What is the probability?

The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.

It is given that, the length=20, the width=10, and the radius of half circle=10.

Calculate the area of the rectangle.

Knows the area of the rectangle is the product of length and width.

So,

[tex]\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\[/tex]

Calculate the area of the half-circle.

Knows the area of the half-circle[tex]=\frac{\pi r^{2} }{2}[/tex].

So,

[tex]& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\[/tex]

Calculate the probability that it will be in the blue region.

Knows the formula for the probability, [tex]\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]

So,

[tex]& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\[/tex]

Thus, the correct answer is an option (D). i.e., 79%.

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If you borrow $200 for 12 years at
an annual interest rate of 2%, how
much will you pay altogether

Answers

16.66 is the answer major guess tho
Answer: If you borrow $200 for 12 years at an annual interest rate of 2%, then we have to pay $248 altogether.

Step-by-step explanation:

What is the Percentage?

percentage, a relative value indicating the hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert  2% to a decimal number by dividing by 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for the year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have to pay $248 altogether.

Hope I Helped!

Please answer the question above

Answers

Answer: 15.4 m

Step-by-step explanation:

The area of a parallelgoram is:

A = bh,

where b is the base and h is the height.

We know that the base is 7.7 meters, and the height is 2 meters, so we can substitute:

A = 7.7 (2)

A = 15.4 m

Hope this helps! :)

The functions f(x) = 2x2 + 2 and g(x) = 2x+1 + 2 are graphed on the coordinate plane as shown.
32
24
16
8+000
0
1
2
For what values of x is g(x) > f(x)?
O A 0 < x < 2 and x > 4
OB. 2 C. X > 4
OD. X > 2

Answers

Answer:

Step-by-step explanation:

Given the functions f(x) = 2x^2 + 2 and g(x) = 2^x+1 + 2

If g(x) > f(x)

2^(x+1) + 2  > 2x^2 + 2

2^x*2 + 2 >2x^2 + 2

2^x*2 >2x^2

2^x > x^2

2^x - x^2 > 0

g(x) > f(x) over the interval 0 < x < 2 and x > 4.

What is a function?

A function is an expression that shows the relationship between two or more numbers and variables.

Given the function:

f(x) = 2x² + 2 and g(x) = 2ˣ ⁺ ¹ + 2

From the graph:

We can see that g(x) > f(x) over the interval 0 < x < 2 and x > 4.

Find out more on function at: https://brainly.com/question/25638609

pls help me:) pweassssssssse:{

Answers

Answer:

LCM = 24

Step-by-step explanation:

8 = 2 x 2 x 2

12 = 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 = 24

Hope that helps! :)

<3 Cin Aphrodite...

Answer:

24!

Step-by-step explanation:

8 = 2 x 2 x 2

12 = 2 x 2 x 3

2 x 2 x 2 x 3 = 24

Hope this helps : )

Bob flipped a coin and got "heads" 9 times in a row! What is the probability that the next flip will be a "head?"

Answers

Answer:

50/50 chance

Step-by-step explanation:

The data set below has 6 values.
Find the mean absolute deviation for the data set.
8, 16, 15, 7, 18, 14

Answers

I got s= 4.472136 or 4.47

"Use the Pyhthagorean Theorem to find the missing side of the right triangle" Please help!

Answers

Answer:

9

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 40^2 = 41^2

a^2 + 1600 = 1681

a^2 = 1681 - 1600

a^2 = 81

a = 9

Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v

Answers

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

CAN YOU PLEASE PLEASE HELP ME PLEASEEEE

Answers

he slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 4 .

Step-by-step explanation:

can i have brainliest

Answer:

y = - [tex]\frac{1}{4}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = - 1 + c ⇒ c = 8 + 1 = 9

y = - [tex]\frac{1}{4}[/tex] x + 9 ← equation of perpendicular line

]

I need help on this question please

Answers

Answer:

D

Step-by-step explanation:

2(3v - 8)
please help xxxxxxxxxxxxxxxxxxxxxxxxxx

Answers

Answer: 6 v − 16

Step-by-step explanation:

What is the axis of symmtry

Answers

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Step-by-step explanation:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

The middle of a parabola

4(8x+6)-2=22
Please help​

Answers

Answer:

x=0

Step-by-step explanation:

Answer:

0/32

Step-by-step explanation:

4(8x+6)-2=22

32x+24-2=22

32x+22=22

32x=22-22

32x=0

x= 0/32

complete the similarity statement for the similar figures then find the scale factor
help me plz

Answers

Answer:

RQS and Scale factor is 2/3.

Step-by-step explanation:

Scale factor is 2/3. 6 divided by 4 = .66 or 4/6 simplified 2/3

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