(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

Answers

Answer 1

Answer:

[tex]\frac{2}{81}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence

r = [tex]\frac{-\frac{2}{3} }{2}[/tex] = [tex]\frac{\frac{2}{9} }{-\frac{2}{3} }[/tex] = [tex]\frac{-\frac{2}{27} }{\frac{2}{9} }[/tex] = - [tex]\frac{1}{3}[/tex]

To find a term in the sequence multiply the previous term by - [tex]\frac{1}{3}[/tex] , then

a₅ = - [tex]\frac{1}{3}[/tex] × a₄ = - [tex]\frac{1}{3}[/tex] × - [tex]\frac{2}{27}[/tex] = [tex]\frac{2}{81}[/tex]


Related Questions

solve the inverse for k
2(k-12)-5(k+2)<-9k+4k

Answers

Answer: K< 17
_____________

Write the equation of
the circle with diameter
endpoints of (17,-3) and
(-13, 3).

Answers

The equation of the described circle is:

(x - 2)² + y² = 234

How to write the circle equation?

Remember that the equation for a circle whose center is (a, b) and has a radius R, is:

(x - a)² + (y - b)² = R²

Here the endpoints of the diameter are (17,-3) and (-13, 3), then the center is at:

( [17 - 13]/2, (-3 + 3)/2)

(2, 0)

And the radius is the distance between the center and any of these points:

R = √( (2 - 17)² + (0 + 3)²)

R = √234

Then the equation is:

(x - 2)² + (y - 0)² = √234²

(x - 2)² + y² = 234

LEarn more about circles at:

https://brainly.com/question/1559324

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Can someone help me with this please???...

Answers

Answer:

2×2×2×2× 5

Step-by-step explanation:

use the tree method it helps

Answer:

hey mate this is your answer..

find the diffrence 3/4 - 1/3

Answers

Answer: 0.4

Step-by-step explanation: 3/4 - 1/3 = 5/12

converted to decimal: 5 ÷ 12 = 0.4

Answer:

3 /4 – 1/3 = 5 /12

Step-by-step explanation:

Calculation steps:

3 /4 –1 /3

=3 × 3 /4 × 3–1 × 4/3 × 4

= 9 /12 –4 /12

= 9 – 4 /12

= 5 /12

Which set of ordered pairs represents a function?
{(-8, 1), (5. –7),(-6,9), (-6, -9)}
o{(-2,-3), (2, 1), (2,6), (4,9)}
o{(8,4), (6,4), (9,1),(7-6)}
o{(-4,5),(0,0), (2, -8), (2,0)}

Answers

Answer:

o{(8,4), (6,4), (9,1),(7-6)}

Step-by-step explanation:

Every x value can only have one y value

1. Which situation could be represented by y = 4x + 7?
a student started with $4 and saved $7 per week.
A package costs $7 plus $4 per pound to ship.
A skateboard weighs 4 pounds plus 7 ounces.
A recipe calls for 7 cups of flour and 4 cups of sugar.

2. What is the equation of the line through (5,8) and (2,2)?
y = 2x + 2
y = 2x - 2
y = 5x - 8
y =8x - 5
3. The slope of a line is -1/3 and the y-intercept is 3. What is the equation of this line?

y = 1/3 + 3
y = -1/3 + 3
y = 3x - 3
y = 3x - 1/3

4. What is the equation of the line that has a slope of 2 and goes through (3,7)?

y = 2x + 3
y = 1/2x + 7
y = 2x + 1
y = -2x + 1

5. Sammy is saving up to buy a PS5 plus. He has $40 and will save $60 per week. Which equation represents this situation?
1 point
y = 40x + 60
y + 60x + 40
y = 60x - 40
y = 40x - 60

6. Sammy is saving up to buy a PS5 plus. He has $40 and will save $40 per week. How long will it take Sammy to save the money if the PS5 plus costs $600?
11 weeks
12 weeks
13 weeks
14 weeks

7. Steph made $360 working 30 hours last week. Sam made $195 working 15 hours last week. Who made more per hour?
Steph
Sam

Answers

Answer:

B, A package costs $7 plus $4 per pound to ship. B, y = 2x - 2 B, y = -1/3x + 3 C, y = 2x + 1 B, y = 60x + 40 D, 14 weeks (600 = 40 + 40x)Sam, ($13hr)

i hope this helps, good luck :)

the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?​

Answers

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

[tex]f(t)=a(r)^t[/tex]

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]

One year has 365 days.

Therefore, the amount remaining after one year will be:

[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

[tex]f(t)=Ce^{kt}[/tex]

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

[tex]255=510e^{38k}[/tex]

Solving for k:

[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]

Thus, our function is:

[tex]f(t)=510e^{t\ln(.5)/38}[/tex]

Then after one year or 365 days, the amount remaining will be about:

[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]

A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.

Answers

Answer:

10.99

Step-by-step explanation:

Your pretty much just multiplying the number by 3.14, so 3.5*3.14=10.99. Hope this helps!

Answer:

Answer B 11m

Step-by-step explanation:

6 mi Find the volume for the shape above. Use 3.14 for pi. Round to the nearest whole number.​

Answers

Answer:

Step-by-step explanation: does anyone know? I really need this

What property must be used when solving each step of a one variable linear equation?

Answers

add, subtract, multiply, or divide an equation by a number or an expression as long as we do the same thing to both sides of the equal sign. ...

Apply the distributive property as needed:

Isolate the variable on one side of the equation.

Step-by-step explanation:

Solve the equation for all values of x by completing the square x^2-35=2x​

Answers

Answer:

x = 7, − 5

Step-by-step explanation:

Please do number 19 for me.

Answers

angles in triangle add to 180 degrees
20x=180
x=9
Angle ABC is the top one
8x9=72

Answer:

[tex]x = 9[/tex]

[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]

[tex]plzz \: \: mark \: as \: brainliest[/tex]

Which of the following is a monomial?
A. 20x11 - 3x
B. 11X-9
C. 20x11

Answer: A

Answers

Answer: the answer is c : 20x^11

Step-by-step explanation:

The nth term of a sequence is given by 3n + 7.
Write down the fifth term of this sequence.
I

Answers

3n+7=10,13,16,19,22
Fifth term in the sequence = 22
Answer:
22

Explanation:
n = 5
3 x 5 = 15
15 + 7 = 22

¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?​

Answers

se necesitan 8 envases

denada

The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?

Answers

Answer: 45

Step-by-step explanation:

3(-2m + 5) -6(-4m - 2) =

-6m + 15 + 24m + 12=

18m + 27

18= a 27= b 27 + 18= 45

The value of the expression a + b is 45.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we can simplify the expression using the distributive property:

3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12

Combining like terms, we get:

18m + 27

So, a = 18 and b = 27, which means:

a + b = 18 + 27 = 45

Therefore,

The value of a + b is 45.

Learn more about expressions here:

https://brainly.com/question/3118662

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Im a bit stuck on this problem

Answers

Answer:

f I I tough luck if it's if I've if it's if you've paid down let of us if just it ubos skits enough of others

Step-by-step explanation:

digital shall will also sorry soap sorry s goo form enough wish all so do all kelan kaso kaka kalakalorry root sorry for

milk truck delivers 376 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n​, the number of gallons of milk the milk truck delivers in 1 day. pls help!

Answers

Answer:

376*12=n

My logic:

there are 12 items in a dozen. so 376 dozens times 12 will result in the total milk delivered in a day.

HELP ME JUST ANSWER PLZ IM SUFFERING I WILL GIVE YOU BRAINLYEST OR WHATEVER

Answers

Answer:

534.07in squared is what I got for the surface area

Step-by-step explanation:

solve the equation log2 x - 1/2 * log2 (x + 1) = 1

Answers

Answer:

0

Step-by-step explanation:

I NEED HELP PLZ MY SMART PPL

Answers

Answer:

its 60

Step-by-step explanation:

if its right caan i get a brainliest

Answer:

60

Step-by-step explanation:

To get the area of a right triangle (a triangle with an angle of 90 [represented by the box in the corner]) you have the formula of

Area = (a*b) divided by 2

a = one side of the triangle

b = another side of the triangle

Neither side are the hypotenuse.

Choose the number line that represents the equation, 2/6 + 3/6 + 2/6 = 7/6​

Answers

Answer:

B

Step-by-step explanation:

I hope this helped, please do tell me if the answer is wrong I will fix it with explanation check!

Pass a brotha some help :(

Answers

Answer and Step-by-step explanation:

Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.

10y - 50 + 6y + 12

Now, combine like terms.

16y - 38

#teamtrees #PAW (Plant and Water)

Can someone help ? I dont understand this

Answers

Answer:

4854

Step-by-step explanation:

2=434344=3

[46664792)

Answer:

31°

Step-by-step explanation:

The angle 59° will be equal to the angle c in triangle ABC.

Angle B will be 90°

Angle A + Angle B + Angle C = 180° (ASP)

Angle A + 90° + 59 ° = 180 °

Angle A = 180° - 90° - 59°

Angle A = 31°

Angle A = x

31° = x

(HELP FAST PLEASE)
Three identical cell phones weigh 18.7 ounces. What is the combined weight of two cell phones that are also identical to the three cell phones mentioned in the first sentence?

Answers

Answer:

Two of them, actually.) ... It weighs 4.87 ounces — less than a third of a pound. ... In the photo shown above, Philip Shenon, a Times reporter, sits with ... Phil and I carried the satphone from Frankfurt — it was housed in two 65-pound suitcases. ... Modern mobile satellite data units weigh a total of about three

Step-by-step explanation:

thats all i know

idrk an easy way to solve this lol

Answers

Answer:

math math math ;D

Step-by-step explanation:

afdgdfgdagf

5. Triangle ADE is enlarged to form triangle

Answers

Answer: the scale factor would be 2

Step-by-step explanation:

If you add all lengths for triangle ABC you can see that triangle ADE x 2 will give you the lengths for ABC

Pls help me, I'll give brainliest

Answers

Your answer is 2x^2y^4 (the third option)

First take and rewrite the equation
(8x^6y^12)^1/3
Use power to power rule by multiplying and you will get 2x^2y^4

Hope this helps
The answer is C. Please like :)

The price of a watch was increased by 20% to £198
What was the price before the increase?

Answers

20/100*198 it is simple
198/1.2=165
Hope it helps

i need help :/

('_')​

Answers

Answer:

Z=20 Degrees

Step-by-step explanation:

We know that all of the angles of a triangle add up to 180, so:

65+55+ Angle A = 180

Simplify:

120+ Angle A = 180

Subtract 120 from both sides:

Angle A = 60

If you look at the bottom you can see that the 15 turns into 5, meaning it is being divided by 3, so:

60/3=20

Z=20 Degrees

Answer:

Angle E is 60 degrees

Step-by-step explanation:

So z is an angle.

That would be point E.

This triangle was dilatated so we can match it up with the larger one. In a dilation, angle measures do not change. So matching up the points E would be equal to A, which of course it the only one with an angle measure not given.  

All you have to do is add up the two angle measures and subtract that by 180 (total of all angles combined).

So 65+55=120

180-120=60

Angle A is 60

Which makes angle E 60 as well

Hope that helps!

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