Write an explicit and recursive rule for the geometric sequence -5, 10, -20, 40… and use it to find the 12th

Answers

Answer 1

Answer:

See solutions below

Step-by-step explanation:

Given the sequence -5, 10, -20, 40...

The nth term of the GP is expressed as;

Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

From the sequence, a = -5

r = 10/-5 = -20/10 = -2

Substitute

Tn = -5(-2)^n-1

This gives the explicit formula

For recursive;

a1 = -5

a2 = 10 = -2(-5) = -2a1

a3 = -20 = -2(10) = -2a2

From the shown sequence, we can see that;

an = -2an-1

This gives the recursive formula

Get the 12th term;

Using the explicit formula

T12 = -5(-2)^12-1

T12 = -5(-2)^11

T12 = -5(-2048)

T12 = 10240

Hence the 12th term is 10240


Related Questions

125 rounded to the nearest tenth

Answers

130 is rounded to the nearest TENS

how many minutes would it take rachel to jog 3 miles if she jogs 1/15 mile every minute

Answers

Answer:

3 mi * 15 min/mi = 45 min

Step-by-step explanation:


Helpppp I’m marking brainliest

Answers

Answer:

y=x+6

tell me if its right

Answer:  y = x + 6

Step-by-step explanation:

Place the circles in order from the circle with the largest area to the circle with the smallest area.

Answers

Answer:

explain how like uh 0Oo. done

Step-by-step explanation:


[tex] - \sqrt{49 {x}^{2} } [/tex]
simplify expression

Answers

Step-by-step explanation:

Given

[tex] - \sqrt{49 {x}^{2} } \\ = - \sqrt{ {7}^{2} {x}^{2} } \\ = - 7x[/tex]

Hope it will help :)

Use the algebra tiles to help you solve the equation 4x -5=3

Answers

Answer:

x=2

Step-by-step explanation:

Ted and Mary ordered meals costing a total of $30, including tax. They left an 18% tip. How much did they spend in all?

A $48.00

B $39.00

C $36.40

D $35.40

Answers

Answer:

D $35.40

Step-by-step explanation:

We need to find 18% of $30 and then add it to the $30 total.

To find a percent of a number, change the percent to a decimal by moving the decimal point two places to the left. Then multiply it by the number.

18% of $30 =

= 18% * $30

= 0.18 * $30

= $5.40

The tip was $5.40. Now we add the tip to the total.

$30 + $5.40 = $35.40

Answer: D $35.40

Classifying polynomial expression.

Answers

The answer are on paper.

Does anyone know composite functions?

Answers

Download Socratic , 9 times out of 10 you’ll get all the answers you’re looking for unlike on this app

An equation of the line tangent to the graph of f(x)= (4x^2-8x+3)^4 at the point where x=1 is:

A.y-81=384(x-1)

B.x=1

C.y=1

D.y-1=3.37497(x-1)

E.y=5(x-1)

Answers

the answer would be the letter D

plz i need help hurry
and how do you mark brainliest

Answers

Answer:7 times 3.14=21.98

Step-by-step explanation:click the crown at the bottom of my answer

Answer:

43.98

Step-by-step explanation:

arc length =2* pie * r

2x3(5-4)/6.2
Algebra

Answers

6/6.2 OR 0.627

Step-by-step explanation:

[tex] \frac{2 \times 3(5 - 4)}{6.2} [/tex]

6(1)/6.2 = 6/6.2 OR 0.627

How would I go about solving this problem?

Answers

I started by finding the area of the walls. The 8x10 walls are 80 and there are 2 so 160. And the other walls are 15x8 so 120 and there are 2 so 240. I added 160 and 240 to get 400. Then you need to subtract the window and the door because you aren’t painting them. You end up getting 340

Please help me with my homework problem

Answers

Answer:

y-axis

Step-by-step explanation:

points are (x,y)

since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.

reflection just means it rotates 180 degrees (out of the paper, not around)

A pair of boots normally sales for $89.00,it is on sale for $50 what’s the sale percent?

Answers

Answer:

Your answer

43.8 %

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Please help!!

What is the value of Avogado's number?

Answers

Answer:

It will be C because I have it in my notes lol

Step-by-step explanation:

Hope this Helped

Math has me dead. Looks simple but it really isnt that easy.

Answers

Answer:

I am pretty sure the answer is A. I really hope this helps

Step-by-step explanation:

I dont have time to explain it im sorry my next class starts in 3 mins

Answer:A

Step-by-step explanation:

what’s the answer ???

Answers

Answer:1/4

Step-by-step explanation:

Answer:

answer is

1

blank will have 1.

plz mark my answer as brainlist plzzzz if you find it useful.

help me guysssssssssssssssss :D

Answers

Answer:

Slope=3

Step-by-step explanation:

m=y2-y1/x2-x1

m=19-10/6-3

m=3

Answer: The answer is C which is "m = 3"

Step-by-step explanation: To find the slope, the formula is change of y / change of x. The change of y in the graph is 9, and the change of x is 3. 9 divided by 3 is 3. Therefore, the option "m=3" is the correct answer.

keusisdnrnsusjdhhrnrksysskrkridbebrb thank you​

Answers

Answer:

ur welcome

Step-by-step explanation:

A right circular cylinder is 3m high and the circumference of its base is 22m. Find its curved surface area.​

Answers

Answer:

height of cylinder =3m

circumference =22m

curved surface area=2×pi×radius×height

curved surface area =22m×3m

curved surface area =66m²

7 (4.3 + p)
note p=5.7

Answers

Answer:

70

Step-by-step explanation:

Replace p with 5.7.

7 (4.3 + p) = 7 (4.3 + 5.7)

                = 7 (10)

                = 70

Answer:

4.3 + 5.7 = 10

7 * 10 = 70

Hence, 70 is the answer

Hope it helps

Please mark me as the brainliest

Thank you

40 is what % of a
Plz help

Answers

Answer:

Step-by-step explanation: To calculate the percentage, multiply this fraction by 100 and add a percent sign. 100 * numerator / denominator = percentage . In our example it's 100 * 2/5 = 100 * 0.4 = 40 .

A triangle has side lengths of 11 cm and 7cm. Which could be the value of the third side, 19cm or 17 cm

Answers

Answer:

use the Pythagoras theorem..you will got the solution

Answer:

The answer is 17

Step-by-step explanation:

Help please......... ​

Answers

It’s b. hope I helped!

Your friend's house is 6 miles south and 14.4 miles east of the bank. How far is your friend's house from the bank?

Answers

Answer: 15.6 miles

Step-by-step explanation:

If you draw it out it makes a triangle which you can then use the pythagorean theorem to find the actual distance between the house and the bank. Your equation should be sqroot of 6^2+14.4^2 which equals 15.6 miles. Hope this helps. :)

360 miles in 6 hours unit rate

Answers

Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

Ayako claims that there are centers of dilations through which a dilation of line n by a factor leaves n changed. Determine whether each point below represents a center of dilation that supports ayako's claim

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. The points are not given, but I can explain it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the enlargement or reduction in the size of an object by a factor k. If a line AB is dilated by a factor k, with a center of dilation on the line AB, if the new line formed is A'B', then A'B' would lie on the same line AB irrespective of the dilating factor.

Dilation of a line segment is to smaller or larger a line with a specific scale factor. The line n when dilated with the center of dilation on the line, it will bring no change on the original line.

Given information

The line which is dilated is n.

Dilation

Dilation of a line segment is to smaller or larger a line with a specific scale factor. If this scale factor is more than 1 then the line segment will larger otherwise smaller.

In the given problem a line n is dilated with the a scale factor that leaves the changed of n.

If the entire line is dilated and the point of this line passes through center of dilation then the change will be nothing. If dilated from the center of dilation the scale factor does not matter.

To find center of dilation which supports Ayako's claim the point below which represents the center of dilation are not given in the problem.

Hence, The line n when dilated with the center of dilation on the line, it will bring no change on the original line.

Learn more about the center of dilation here;

https://brainly.com/question/25300368

Please answer please.

Answers

Answer:

Triangles are not similar.

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles are equal in measure.

2). Corresponding sides of the similar triangles are proportional.

From the given triangles,

- Corresponding angles of the given triangles are not equal in measure.

- Ratios of the corresponding sides,

 [tex]\frac{KM}{XY}=\frac{CM}{RY}= \frac{KC}{XR}[/tex]

[tex]\frac{53}{53}= \frac{54}{53}= \frac{64}{53}[/tex]

But these ratios are not equal.

Therefore, both the triangles are not similar.

what value of x makes the equation 0.75(x+20)=2+0.5(x−2) true?

Answers

Answer:

x= -56..................

Other Questions
plzzz answer with explnation!!!the value of acceleration due to gravity (g) will be maximum at:a) 1/2 of the radius of earthb) 1/4 of the radius of earthc) 1/8 of the radius of earth y=x/3+2.Its a benchmark pls help Identify ONE way in which Enlightenment ideas changed political thought in Europe in the period after 1750. What type of genotype does a person with a recessive genetic disorder have? Name 4 state the US added from 1791-1803 Spanish home work please hep I need help my brain is too small to answer this A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow? How did Ronald McNair change the face of science? hii please help ill give brainliest if you give a correct answer! If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartonsand 18 juice boxes, what is the value of x? A tractor pulls a 1,000 kg wagon with a force of 4,000N. What is the wagons acceleration in m/s2? * what is a collection of numbers and mathematical operations Faulty parallel 1. She hates to study, to work, and going to school, but she loves partying.Corrected:2.On her first day at work, Thelma wore a new dress, shoes, hat, and her favorite briefcase.Corrected: A cation with a +4 charge has 26 neutrons and 18 electrons. What is the identity of the element? Evaluate the model of translation. What does it show to be the result of translation? A) formation of a protein B) formation of a ribosome synthesis of a carbohydrate D) translation of mRNA's code This episode was not so much about Odysseus as it was about Argus. What quality does Argus demonstrate that the Greeks would value enough to dedicate an Episode to? Explain. 11. Explain Supergiantsare cool yet luminous___because(Circle thecorrect answer.)a. they produce moreenergyb. they are farther fromEarthc. they are unusually large b) Cul es la relacin entre el diametro y el radio? Q2. Match the event with the most appropriate probability word: If amultiple of 8 is chosen at random it will also be a multiple of 2.LikelyImpossibleCertainEvensUnlikelyOther: