The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence.

Answers

Answer 1

Answer:

± 60

Step-by-step explanation:

aₙ = a₁ * rⁿ⁻¹

a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶     (1)

a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴     (2)

(1)/(2): 30/120 = 1/4 = r²

r = ± 1/2   or ± 0.5

a₁ = a₇/r⁶ = 30/0.5⁶ = 1920

a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60

Answer 2

The possible values of the 6th term of the sequence ± 60.

The 5th term in a geometric sequence is 120.

The 7th term is 30

We have to determine the 6th term of the sequence.

What is the formula for the nth term of the sequence?

[tex]a_n = a* r^n[/tex]

a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶  ......   (1)

a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴   ...  (2)

(1)/(2): 30/120 = 1/4 = r²

r = ± 1/2   or ± 0.5

a₁ = a₇/r⁶ = 30/0.5⁶ = 1920

a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60.

To learn more about the geometric sequence visit:

https://brainly.com/question/1509142

#SPJ2


Related Questions

A 54 inch pipe is cut up into 2 pieces . One piece is two times the length of the other

Answers

Small = 18 in
Large = 36 in
Please give me Brainliest

Convert degrees to radians
Show all the work
2. 45
3. 90

Answers

Answer:

[tex]\frac{\pi }{4}[/tex] and [tex]\frac{\pi }{2}[/tex]

Step-by-step explanation:

To convert from degrees to radians

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then

(2)

radian measure = 45 × [tex]\frac{\pi }{180}[/tex] ( cancel 45 and 180 )

                          = [tex]\frac{\pi }{4}[/tex]

(3)

radian measure = 90 × [tex]\frac{\pi }{180}[/tex] ( cancel 90 and 180 )

                           = [tex]\frac{\pi }{2}[/tex]

Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table
Can someone help me please
No links :/ .

Answers

Answer: y=x+3.5
The function of the original equation (the data table) is y=1/2x+3.5
So 1/2 times 2 is 1 and the y intercept (the initial value) is the same! I hope I helped

Please help me with the right Awnser

Answers

Answer:

40 m2

Step-by-step explanation:

96m² is your Answer:

Solution given:

base[b]=12m

height[h]=8m

we have

Area of parallelogram=b×h=12×8=96m²

What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.

Answers

583939485933094939392....../

find total surface area of cylinder is R = 7 cm and H = 10 cm​

Answers

Step-by-step explanation:

Given radius , r = 7cm

and height , h = 10cm

Surface Area of Cylinder

[tex] = 2\pi {r}^{2} + 2\pi \: rh \\ = 2\pi( {7}^{2} ) + 2\pi(7)(10) \\ = 2\pi(49) + 2\pi(70) \\ = 98\pi + 140\pi \\ = 238\pi {cm}^{2} [/tex]

I will leave it in terms of pi as i am not sure how you want to leave your answer as.

A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total

Answers

Answer:

79762

Step-by-step explanation:

Total number of employees in one country=26,700

Let X= Total number of the company's employees in all countries

31.6% of ( Total number of the company's employees in all countries)=26,700

=[( 31.6/100) × X)] =26,700

Making X subject of the formula we have

X= [(26,700)/( 33.6/100)]

= [26800/0.336]

= 79762 ( approximately)

Hence, Total number of the company's employees in all countries is 79762

3x+4=20 solve the following question

Answers

Answer:

5.33

Step-by-step explanation:

3x=20-4

3x=16

x=5.33

Answer:

x = 16/3

Step-by-step explanation:

3x+4=20

3x = 20 - 4

3x = 16

x = 16/3

Please Help! Geometry

Answers

Answer:

x =14, y = 38

Step-by-step explanation:

Quadrilateral JKLM is inscribed in a circle, so it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

[tex]5x \degree + 110 \degree = 180 \degree \\ \\ 5x \degree = 180 \degree - 110 \degree\\ \\ 5x \degree = 70 \degree\\ \\ x = \frac{70}{5} \\ \\ x = 14 \\ \\ 2y \degree + 104 \degree = 180 \degree \\ \\ 2y \degree = 180 \degree - 104 \degree\\ \\ 2y \degree = 76 \degree \\ \\ y = \frac{76}{2} \\ \\ y = 38[/tex]

HELP PLS ASAP PLS PLS DUE SOON

Answers

Answer:

blank 1: 63 degrees

heart if it helped!

Your help will be much appreciated. 30 points + brainliest.

find exact value of each of the following using half angle formulas​

Answers

Answer:

gimme a sec

Step-by-step explanation:

Answer:

a.   -.259

b. 3.732

c. -.259

d. 3.72972972973

Step-by-step explanation:

What is the solution to the system of equations above?

Answers

Answer:

(-2,-2)

Step-by-step explanation:

the x is -2

also the y is -2

Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.

Answers

Answer:

if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)

f(x) = 2x⁴ - 3x³ + 4x - 3f(6) = 2×6⁴ - 3×6³ + 4×6 - 3f(6) = 2592 - 638 + 24 - 3f(6) = 2616 - 641f(6) = 1975

f(6) is not equal to 0

then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3

Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.

Answers

Answer:

Question: Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.

Answer:

SA = 2lw+2lh+2hw

SA = 2 X 12 X 5 + 2 X 12 X 8 + 2 X 8 X 5

SA = 392

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Please thank me on my profile if you found my answer here helpful!

identify the equation whose vertical graph is a vertical line.

a) y=2x-1
b) y=2
c) x=2​

Answers

Answer:

c

Step-by-step explanation:

Natalie was wrapping a gift for a birthday party
and she measured and found she had 3 1/6 yards of
ribbon. After finishing she had 1 3/4 yards of ribbon
remaining. How much ribbon did she use?

Answers

Answer:

1 5/12 yds

Step-by-step explanation:

3 1/6 - 1 3/4 = 38/12 - 21/12 = 17/12 = 1 5/12 yds

If all shoppers get 10% off their purchase today, what is the equation can be used to calculate the portion of the original price?

Answers

Answer:

Step-by-step explanation:

Let the original cost be x

The shoppers get 10% of the original price

Therefore the equation to find final cost =

Discount: 10x/100

Final Cost: 90x/100

Mark brainliest for further answers :)

questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!

Answers

Answer:

9: one solution

10: 121

Step-by-step explanation:

Hope that helped!! maybe brainliest?

edit: so sorry 9 is actually two solutions not one

Help me pls ASAP find A

Answers

Answer:

the answer is (3,2) because it show it

The following data points represent the number of holes that moths ate in each of Grandma Marion's
dresses.
7,8,8, 5, 7,8
Using this data, create a frequency table.
Number of holes
Number of dresses
5
6
7
8

Answers

Answer:

1, 0, 2, 3

Step-by-step explanation:

Answer:

1, 0, 2, 3

Step-by-step explanation:

Cuantas cifras se emplean para numerar las 48 paginas de una revista?

Answers

Answer:

Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.

Step-by-step explanation:

Mas de 16 páginas de una revista

Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.

Answers

Answer:

Is that simultaneous equation

You can ask if something is not clear or you don't understand

The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=x-1 ...(1)

2x+y=8...(2)

By using substitution method we solve the value of x and y.

Substitute y value in equation (2)

2x+x-1=8

Combine the like terms

3x-1=8

Add 1 on both sides

3x=9

Divide both sides by 3

x=3

Now plug in x value in y equation.

y=3-1

y=2

Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Phill thinks he had merited the angles blew correctly. Triangle placed on top of a straight line, 50 * at the top left of the triangle, 90 at the bottom left of the triangle, 40* at the bottom right

Answers

No he is wrong because if it were 150° on the right side it would be 30° on the other side

3/4-1/5 please i give branliest

Answers

Answer:

0.55

Step-by-step explanation:

Answer:

11/20

(Result in decimals: 0.55)

Step-by-step explanation:

3/4 -  1/5

=  

3 × 5         1 × 4

____  -     ____

4 × 5        5 × 4

=  

15/20 –4/20

=  

15 – 4

_____

  20

=  

11/ 20

Hope I helped!!!!! Maybe Brainliest

Can someone help me with this bell work, it is due at 2:15. It is attached!

Answers

Reverse image search it and try to find the answer key unless it was made by your teacher .
i wrote it on paper.....

help please i’m confused

Answers

Answer:

7/10 pi (radians)

Step-by-step explanation:

The formula for sector area is (angle * r^2)/2

140pi = angle*r^2/2

multiply both sides by 2

280pi = angle * r^2

r = 20 cm (substitute)

280pi = angle * (20)^2

280pi = angle * 400

Divide both sides by 400

7/10 pi = angle

A bank offers the following loans:

Bank A Bank B
$105,000
30-year fixed
5.875%
1.25 discount points
M = $621.11
$105,000
30-year fixed
6%
0 discount points
M = $629.53

What is the break-even point for the loans? (4 points)
about 7 years
about 10 years
about 13 years
about 16 years

Answers

Answer:

It is bank A and bank B

about 10 years

someone please please help with this I would really appreciate it !

Answers

Answer:

I think this is how the response is meant to be, do you need workings to solve AB aswell?

help this is khan academy

Answers

Answer:

20

Answer:

20

Step by step:

v = l × w × h

v = 2 × 2× 5

v = 4 × 5

v = 20

the volume in cm³, of a cube of edge is 3cm is

Answers

Answer:

27 cm^3

Step-by-step explanation:

edge of cube = a = 3cm  

Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3

sorry if im wrong plz  dont report

(hope this helps can i plz have brainlist :D hehe)

Other Questions
If I invest $1,000 at an 8.5% interest rate, how much money will I earn over 6 years? Find the degree of the polynomial 3x + x +3. What structural units make up ionic solids?O A. MoleculesB. Nonmetal atomsO C. Metal atomsO D. lons what inspired prithvi narayan shah for unification of Nepal Tell whether the following binomial is a factor of the polynomial binomial- (x+8)Polynomial- x^5-8x^4+8x-64Please help :) Ez hw for my lil sis what i 4 13/20 as a decimal? what are the positive aspects of using first person narrative Company X tried selling widgets at various prices to see how much profit they wouldmake. The following table shows the widget selling price, x, and the total profitearned at that price, y. Write a quadratic regression equation for this set of data,rounding all coefficients to the nearest tenth. Using this equation, find the profit, tothe nearest dollar, for a selling price of 24.25 dollars. define compulsory in your own words and give an example A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-interceptform? Unlike 2D characters, 3D figures havelines and shapesdepth and texturecolor and shadowspace and background Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.x + y - z = -22x - y + 3z = 9x - 4y - 2z = 1 Pls help meee Im stuck and no one will helppp Solve this pleaseWhat do I writ's in each category? Are these triangles similar? If yes, write a similarity statement. Which sentence below is a "run-on sentence?The field is too wet and soggy the soccer team's game will be rescheduled.Tina's pants are too long they will have to be hemmed by a tailor.The crowd went wild when Jake hit the ball out the park and ran the bases to homeplate.The bird flew around the yard, squawked at our family eating on the deck, and dove atthe dog 3 Write in simplest form. 9 ___________________ is the nationalist movement of the Jewish people that supports the re-establishment of and support for a Jewish state in the territory defined as the historic land of Israel.Group of answer choicesAnti-SemitismzionismApartheidSegregation Find the value of x. Round to thenearest tenth.336