1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maria [59]
2 years ago
13

Find the 8th term of the geometric sequence shown below. 6x,18x^4,54x^7 please help

Mathematics
1 answer:
mafiozo [28]2 years ago
7 0

The 8th term of the geometric sequence is 13122x^22

<h3>Explicit form of a geometric sequence</h3>

The explicit form of a geometric sequence is expressed according to the equation;

Tn = ar^n-1

where

r is the common ratio

a is the first term

n is the number of terms

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

a = 6x

n = 8

Substitute to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = 13122x^22

Hence the 8th term of the geometric sequence is 13122x^22

Learn more on geometric sequence here: brainly.com/question/24643676

#SPJ1

You might be interested in
an airplane has 64 rows of seats with 3 seats in the left section 4 seats in the middle middle section and 2 seats in the right
NemiM [27]
Go 3+4+2 to determine for 1 row and then multiply that by 64 so 576
7 0
4 years ago
The diagram shows a scale drawing of a playground the scale of the drawing is 1:500 work out the perimeter of the real playgroun
liraira [26]

Answer:

Check Explanation

Step-by-step explanation:

The complete question plus diagram is presented in the attached image to this solution.

From the attached image, the dimensions of the playground drawn will be a bit variable now as zooming and some editing might have tampered with the original intended dimensions to be measured.

But still, let us assume that on measuring the rectangular playground shown, we obtain approximately that the length is 4.5 cm and the breadth is 2 cm.

The scale to convert to real life is 1;500 indicating that

1 cm on the drawing = 500 cm lenght units of the real playground.

So,

4.5 cm on the drawing = 4.5 × 500 = 2250 cm of the playground

2 cm on the drawing = 2 × 500 = 1000 cm of the playground.

Hence, the real life dimensions of the playground is 2250 cm by 1000 cm.

In meters, that is 2.25 m by 1 m

The perimeter of a rectangular figure is given as

Perimeter = 2(Length + Breadth)

= 2(2.25 + 1)

= 6.5 m

Hope this Helps!!!

5 0
3 years ago
What is the slope of the line that passes through the points<br> (1, -3) and (4, 2)?
Vitek1552 [10]

in this situation it would be the last one or d.

6 0
3 years ago
How do you do this equation: 9|5x+8|=54
Sergio [31]

Answer (2 answers):

x = -2/5,  x = -14/5

Step-by-step explanation:

First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.

9|5x+8|=54

|5x+8| = 54/9

|5x+8| = 6

Remember how absolute values turn everything positive? For example

|-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.

|5x+8| = 6     and     |-(5x+8)| = 6

now solve the first equation.

(Just remove the absolute value sign and solve it normally)

5x+8 = 6

5x = -2

x = -2/5

Now solve the other equation

-(5x+8) = 6

-5x - 8 = 6

-5x = 14

x = -14/5

3 0
3 years ago
Can someone help me with the questions in the picture?
Tpy6a [65]

Answer:

9. Perpendicular

10. neither

11. Perpendicular

12. neither

Step-by-step explanation:

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

Slope Intercept Form: y = mx + b

* M is the slope

* B is the y intercept

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

Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)

Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - \frac{1}{3} )

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

9. Perpendicular: The slopes are reciprocal of each other and one of them is negative

10. Neither: The lines are not perpendicular because the slopes are both negative

11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.

12. Neither: The slopes of both equations need to be the same to be parallel

  • Put both equations into y=mx+b
  • y = 1/2x -2 AND y = -1/2x -2
4 0
3 years ago
Other questions:
  • jordan has a marble collection. 4/12 of the marbles are red. 2/4 are green. what fraction of her total marbles are red and green
    13·1 answer
  • use the rules for multiplication by powers of 10 to calculate 20 × 100. a. 200 b. 20 c. 2,000 d. 20,000
    7·2 answers
  • 25 POINTS FOR EASY QUESTION
    5·1 answer
  • What are repeating decimals
    14·1 answer
  • If the track makes 30 miles in 25 minutes, find the time it will need to cover 25 miles
    5·1 answer
  • May someone help? show my work too
    15·1 answer
  • Help please! 15 points!
    6·1 answer
  • State if the triangles in each pair are similar if so state if you know they are similar (please show work if possible)
    13·1 answer
  • What are all of the steps to get 7(3x-1)-(x+5)
    9·2 answers
  • ABCD is a parallelogram. What is the measure of ∠ACD?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!