The sum to infinity of a geometric series is 4 and the second term is 1. Find the first,third and fourth terms.

Answers

Answer 1

Answer:

2, 0.5 and 0.25.

Step-by-step explanation:

The nth term an = a1r^(n-1)  where a1 = first term and r = the common ratio.

The sum to infinity = a1/(1-r)  for  -1 < r < 1.

So we have:

Second term a2 = 1 = a1(r)(2-1) = a1r and

4 = a1/(1 - r)

From the first equation:

a1 =1/r

So substituting in the second equation:

4 = 1/ r / (1 - r)

4 = 1 / r - r^2

4r - 4r^2 = 1

4r^2 - 4r + 1 = 0

(2r - 1)(2r - 1) = 0

r = 0.5

So the first term  a1 = 1/ r =1/0.5 = 2.

The third = 1*0.5 = 0.5

and the 4th = 0.5*0.5 = 0.25.


Related Questions

cual es la raiz de 28

Answers

Answer:

5.29150262213

Step-by-step explanation:

I hope this answer has helped you

Write and equation for a parabola

Answers

Answer:

(y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2

Step-by-step explanation:

Common memory sense

Abby wants to ride her bicycle more than 70 miles this week. On Monday, Abby rode her bicycle for 25 miles. Abby plants to ride the same number of miles in the next six days. Write an inequality that can be used to determine the number of miles, m, that Abby will ride her bicycle each day to achieve her goal.

Answers

Answer:

25d > 70

Step-by-step explanation:

Abby wants to ride her bicycle more than 70 miles this week.

More than = >

On Monday, Abby rode her bicycle for 25 miles. Abby plants to ride the same number of miles in the next six days.

Let the number of days of week she would ride her bike = d

On Monday = 25 miles

And the rest of the week = The same = 25 miles

The inequality is written as:

25d > 70

Which two expressions are
equivalent?
A. (7.x) - 12 and (x-7) - 12
B. (x + 4) = 10 and x + (4 = 10)
C. 30. (x - 4) and 30 · (4 - x)
D. 18 - (8 + x) and (8 + x - 18)
HELP!!!

Answers

Answer:

B

Step-by-step explanation:

I don't have an explanation but i know its right!!!

What’s the answer???

Answers

can you take a better pic


Correct answer gets marked brainlist!! :)

Answers

Answer:

X=6

Step-by-step explanation:

To find the area of a triangle, you have to divide the multiplication by 2. So first, you would find 6 times what is 18. 3. But since thats the FULL answer, you multiply 3 by 2. 3 times 2 is 6! So x=6!

hope this helped you!

Is 1+4(3x-10)-12x equivalent to -39? Explain.

Answers

Step-by-step explanation:

1. Review a given problem : [tex]1+4(3x-10)-12x[/tex]

2.distributive property:  [tex]4\left(3x-10\right) = 12x-40[/tex]

[tex]=1+12x-40-12x[/tex]

3. Simplify:  [tex]1+12x-40-12x[/tex]

[tex]-39 +12x-12x[/tex]

[tex]=-39[/tex]

1+12x-40-12x= -39
Cancel +12x and -12x since equals 0
1-40= -39
-39= -39
It is equivalent. Good luck.

I need help I'm confused

Answers

Answer:

it's a square so all 4 sides of perimeter equal 12 while every inside line is 6 sqrt/2

Step-by-step explanation:

there's triangles in the square that are symmetrical so each triangle has the same sides so using pythagorean theorem 6sqrt/2 ^2 + 6sqrt/2 ^2 = sqrt/C and C=12

An angle measures 56° less than the measure of its supplementary angle. What is the measure of each angle?​

Answers

Answer:

118, 62

Step-by-step explanation:

We can set a system of equations where x and y are the two angles and x is the larger one

x+y=180

x-y=56

If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.

(PLEASE HELP) Find the difference of

(p+7)−(6p2+13p).

Answers

Answer:

-(6p^2+12p-7)

Step-by-step explanation:

p+7-6p^2-13p

-12p-6p^2+7

-(6p^2+12p-7)

can someome help me ​

Answers

Answer:

KM = 30

Sorry if this is not what you where looking for you did not describe exactly what you wanted

9. Your parents give you $1000 on
your 16" birthday. You put it into a
savings account with 3% annual
interest. How much money will you
have if you don't touch it until you
turn 122
Starting Amount:
Growth Rate
Equation:
Answer:

Answers

Starting amount:30$
Answer:3180

HELP PLEASEEEEE!!!!
Which graph shows the solution to this system of inequalities? y>-1/3x+1 y>2x-3

Answers

Answer:

Graph A.

Step-by-step explanation:

We don't even have to analyze the inequalities. It tells us that y is supposed to be bigger than something and that y is supposed to be bigger than something else. That means that for both lines, the shaded region must be upwards. The only graph that conforms to that is graph A.

The length of a rectangle is 3 cm less than its width what are the dimensions of the rectangle if its area is 270 cm²

Answers

Given:

The length of a rectangle is 3 cm less than its width.

The area of the rectangle is 270 cm².

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then,

[tex]\text{Length}=x-3[/tex]

Area of a rectangle is:

[tex]\text{Area}=\text{Length}\times \text{width}[/tex]

[tex]270=(x-3)(x)[/tex]

[tex]270=x^2-3x[/tex]

[tex]0=x^2-3x-270[/tex]

Splitting the middle term, we get

[tex]x^2-18x+15x-270=0[/tex]

[tex]x(x-18)+15(x-18)=0[/tex]

[tex](x-18)(x+15)=0[/tex]

[tex]x=18,-15[/tex]

Width of the rectangle cannot be negative. So, the only value of x is 18.

[tex]Width=18[/tex]

[tex]Length=18-3[/tex]

[tex]Length=15[/tex]

Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.

What is the sum of 39 + 5 + 768 + 3668?

Answers

Answer:

4480

Step-by-step explanation:

Answer:

4,480

Step-by-step explanation:

39+5=44

44+768=812

812+3668=4,480

Hope this helps :)

Need help plzzzzz helpppp 20 points and if right I will mark brainlest

Answers

Answer:

Hi! Okay so i tried to find all the x and y intercepts that matched with (-4,7) and the closest one is C I'm not 100% sure its correct but its the only one that makes the most sense, its coordonated are (-8,4) i'm so sorry if u get it wrong

Step-by-step explanation:

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☆Don't worry i wont ask for brainliest this time☆

Have a nice day!!!!!!!

- Brooklynn Deka

Mock Starr help thanks

Answers

IuibAuihiuhiugtdtrdkkknswer:

Step-by-step explanation:

At the beginning of 5th grade, Stephen was 48 inches tall. At the beginning of 8th grade he was 65 inches tall.
What is the percent of increase of Stephen's height?
A. 17.00%
B. 26. 15%
C. 35.42%
D. 73.85%

Answers

Answer:

35.42%

Step-by-step explanation:

Answer:

C. 35.42%

Step-by-step explanation:

65 - 48 = 17

Since he grew 17 inches, you must figure out what percentage 17 is of 48.

17/48 = 1/100 (represents decimal)

Cross multiply: 17 ⋅ 100 = 1700 and 48 ⋅ 1 = 48

Divide: 1700/ 48

= 35.41666666666667

Round to the nearest hundredth:

= 35.42

What is the median of the first half of the data? (first quartile)

Answers

Answer:

$273

Step-by-step explanation:

1. Find the first half of the list (There are 8 numbers in the list, so the first four)

2. List them from least to greatest ($196, $248, $298, $379)

3. find the middle of the numbers ($248, $298)

4. Since there are 2, we find the mean of the 2 numbers ($273)

5. So the answer is $273

Fill in the missing operator where the blank is.
18 _ (-20)= -2

Answers

The answer is positive 1

Answer:

26

Step-by-step explanation:

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HELP! What is the greatest common factor of 20a2b2 and 50b3?

Answers

Answer: 10b^2
Good luck.
Someone said it but good luck

You start at (3, 0). You move right 1 unit and left 2 units. Where do you end?​

Answers

Answer:

2,0

Step-by-step explanation:

What is the definition of similarity? *
A. If two figures have the same angles, then they are similar.
B. If two figures have proportional side lengths, then they are similar.
C. If there is a sequence of transformations taking one figure to another, then they are similar.
D. If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.​

Answers

Answer:

D) If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.

using the graph, determine the equation of the axis of symmetry

Answers

Answer:

The axis of symmetry is x=1

Answer:

x = 1

Step-by-step explanation:

The diameter of a circle is 4 cm. Find its area to the nearest tenth.

Answers

Pretty sure it’s 40 yep

Answer:

10 cm²

Step-by-step explanation:

The radius of this circle is half the diameter hence is 2cm

Area of a circle is pi multiplied by the squared radius, i.e

Area = πr²

= 22/7 × 2 × 2

= 12.57 cm²

The nearest 10th is 10

Algebraically, find the roots of x² - 4x - 5=0,​

Answers

x = 5 and x = -1

Solve using quadratic formula


I have 5 paper clips, 8 push-pins and 12 erasers in my bag. Assuming that the odds for selecting paper clips, push-pins and erasers is the same, what is the probability that the item I pull out of the bag is NOT an eraser?

Answers

Answer:

the probability is 13/25

Step-by-step explanation:

5+8 = 13 and there are 12 erasers, 12 + 13 = 25. you have a 13/25 chance of not picking an eraser.

Examine the diagram, where points B, C, D, and Elie on circle A. Angle BCD measures 57°. В. C A 570 D 2019 Strong Mind. Created using GeoGebra. What is mZBED?​

Answers

Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.

∠BCD and ∠BED are subtended by the same arc BD.

Therefore, based on the inscribed angle theorem, we have:

m∠BCD = m∠BED = 57°.

m∠BED = 57°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/3538263

#SPJ2

A cabin in the shape of a regular hexagonal pyramid has a slant height of 10 feet and a base edge length of 15 feet. Paint for the cabin costs $0.50 per square foot. How much does it cost to paint the lateral faces of the cabin?​

Answers

Answer:

if noblepenguin sees this, your a horrible mod. stop deleting my answers

Step-by-step explanation:

answer number 2 pls

Answers

Answer:

H

Step-by-step explanation:

Given

4(15 - 7) ← apply the distributive law

= 15(4) - 7(4) → H

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