Write a rule for the nth term of the geometric sequence for which a1=11 and a4=88

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given a₁ = 11 and a₄ = 88 , then

11 r³ = 88 ( divide both sides by 8 )

r³ = 8 ( take cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2 , then the nth term is

[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]


Related Questions

WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

40π m² and 125.6 m²

Step-by-step explanation:

the area (A)  of the sidewalk is calculated as

A = outer area - inner area

(a)

A   = πr₁² - πr₂² ( r₁ is radius of outer circle and r₂ the radius of inner circle )

A  = π × 11² - π × 9²

  = 121π - 81π

 = 40π m²

(b)

A = 40 × 3.14 = 125.6 m²

Which polynomial expression represents a sum of cubes? (6 – s)(s2 6s 36) (6 s)(s2 – 6s – 36) (6 s)(s2 – 6s 36) (6 s)(s2 6s 36)

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The polynomial expression that represents the sum of cubes is (s+6)(s²-6s+36).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The sum of the cubes of a polynomial expression can be written as,

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

Therefore, we need to find the polynomial expression which looks similar to the above expression,

[tex]s^3+6^3=(s+6)(s^2-6s+36)[/tex]

Thus, the polynomial expression that represents the sum of cubes is [tex](s+6)(s^2-6s+36)[/tex].

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

(6 + s)(s2 – 6s + 36)

Step-by-step explanation:

2022

Nicole's Pie Shop recently sold 26 pies, of which 13 were chocolate cream pies. Considering this data, how many of the next 54 pies sold should you expect to be chocolate cream pies

Answers

Answer:

27

Step-by-step explanation:

Based on the given conditions, formulate: 54×13÷26 

Cross out the common factor:54/2

Cross out the common factor:27

Get the result:27

Answer: 27

Complete the statement using <, >, or =.

36% of 150 ____ 27% of 200

Answers

Answer: =

Step-by-step explanation: 54 =54


3/100 ×150=54


2/100 ×200=54

pleaseee help meeeeeeee​

Answers

90° = x + 2x + (x+10)
80° = 4x
20° = x

Luis trabaja en Canadá por cada 15 dólares que gana envía 8 a su

Familia que vive en Zacatecas. La semana pasada ganó 300 dólares¿Cuanto

Dinero enviará a su familia?

Answers

Usando proporciones, hay que Luis enviará 160 dólares a su familia.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, la regla de tres es dada por:

15 dólares - 8 envíados

300 dólares - n envíados

Aplicando multiplicación cruzada:

15n = 300 x 8

n = (300 x 8)/15

n = 160

Luis enviará 160 dólares a su familia.

Puede-se aprender mas a cerca de proporciones es brainly.com/question/26425852

WILL GIVE BRAINLIEST, THANKS AND 5 STARS!
PLEASE HELP ME!
QUESTION IN SCREENSHOT
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

Answers

Answer:

4 and -1

Step-by-step explanation:

Roots are the X values of the quadratic equation, or where it crosses the x axis

Answer:

a, f

Step-by-step explanation:

What is the slope of the line that passes through (-4, 5) and (2, -3)?
NEED ASAP WILL MARK BRAINLIST

Answers

Answer: A

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:5\right),\:\left(x_2,\:y_2\right)=\left(2,\:-3\right)[/tex]

[tex]m=\frac{-3-5}{2-\left(-4\right)}[/tex]

[tex]\bold{m=-\frac{4}{3}}[/tex]

Answer:

A) -4/3

Step-by-step explanation:

The formula for the slope of a line is  [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Plugging in the given values, we have:

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

Solving:

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

[tex]\frac{-8}{6}[/tex]

[tex]-\frac{4}{3}[/tex]

hope this helps!

The crew is taking 180 ounces of oranges and 220 ounces of apples. How many pounds of fruit are they taking in all?

Answers

$25, divide each amount by 16, then add together

Please can you help me with this and the answer is not 6.4

Answers

Answer: Find details in the picture. The answer is 4.9

Step-by-step explanation:

5 0

·
5 –3

= how do i do this

Answers

50x-15? i don’t understand

Please answer asap and show all work giving points for it ! :)

Answers

Answer:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 6% per year compounded 1 times per year over 10 years is $4,477.12.

The length of a rectangle is 3 times its width. What is the width of the rectangle if the area is 48 square centimeters?



A. 4
B. 9
C. 12
D. 16

Answers

D.16 is correct 48 divided by 3 is 16

Answer:

D

Step-by-step explanation:

Thanks

what is the difference between the greatest and least amounts of rain falls? Iready

Answers

Answer:

[tex]1\frac{7}{8}inches[/tex]

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

[tex]2-\frac{1}{8} =\frac{16-1}{8} =\frac{15}{8} =1\frac{7}{8}[/tex]

Therefore, the difference between the greatest and least amount of rainfall is [tex]1\frac{7}{8}inches[/tex]

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

Simplify the expression.

Answers

Answer:

1/81

Step-by-step explanation:

9 to the power of 7 is 4782969

and 9 to the power of 9 it 387420489

and when u divide it u get 1/81 I beleve

Answer:

1/81 or 0.01 that is rounded to the nearest hundredth

Step-by-step explanation:

Your welcome

Find the equation of the line.
Use exact numbers.
y=y=y, equals
x+x+x, plus

Answers

Answer:

y=x-5

Step-by-step explanation:

How do you differentiate y=x^(e^x) ?

Answers

We are given the function to differentiate:

[tex]{\quad \qquad \sf \rightarrow y=x^{e^x}}[/tex]

Do take natural log on both sides, then we will be having

[tex]{:\implies \quad \sf ln(y)=ln(x^{e^{x}})}[/tex]

[tex]{:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}[/tex]

Now, differentiate both sides by using so called chain rule and the product rule

[tex]{:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}[/tex]

Hence, Option B) is correct

Product rule of differentiation:

[tex]{\boxed{\bf{\dfrac{d}{dx}(uv)=u\dfrac{dv}{dx}+v\dfrac{du}{dx}}}}[/tex]

Where, u and v are functions of x

kim and darren left campus traveling in opposite directions. if kim drove 35mph and darren drove 30mph, how far were they after 1 1/2 hours?

Answers

Answer:

Kim 52.5 miles, Darren 45 miles

Step-by-step explanation:

Kim drove 35 mph:

    35 mph x 1.5 hours = 52.5 miles

Darren drove 30 mph:

    30 mph x 1.5 hours = 45 miles

Solve for x √4x-3=5 check extraneous or not​

Answers

Answer:

ok i ned time

Step-by-step explanation:

4 divided by 1/3 is 12 becuase

Answers

Answer:

12

Step-by-step explanation:

When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1

So:

4÷1/3 would become 4×3/1

4×3/1 is the same as 4×3

So:

4×3=12

That's why the answer is 12.

Solve for X. Please help me!

Answers

Answer:

145°

Step-by-step explanation:

based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.

13 - (19,500 - (672 x 29)] = ​

Answers

Answer:

1

Step-by-step explanation:

im know it ive dine the problem 10 times

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 7c – 4c2 – 3c 4 –4c2 4c 6 –7c2 10c 6 –4c2 4c 8 –7c2 7c 6

Answers

The simplified and standard form of the considered polynomial is -4c^2 -4c + 6

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.


The given polynomial is:

[tex]2 + 7c - 4c^2 - 3c + 4[/tex]

Simplifying it gives:

[tex]2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2[/tex]

Writing it in the order of increasing to decreasing powers:

[tex]6 -4c -4c^2 = -4c^2 -4c + 6[/tex]

Thus, the simplified and standard form of the considered polynomial is [tex]-4c^2 -4c + 6[/tex]

Learn more about standard form of a polynomial here:

https://brainly.com/question/15313798

Try your best be a super star

Answers

Answer: Thanks! Same to you, hope you have a good life.

Step-by-step explanation:

You too, I guess! Thanks for the points.

How to multiply 70.94 by 3.2 and get 227.008

Answers

Answer:

solution

Step-by-step explanation:

so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.

190x+700=1,460. Solving this equation, we get x

Answers

Answer:

x = 4

Step-by-step explanation:

Given: 190x + 700 = 1,460

1. Subtract 700 from both sides:

190x + 700 - 700 = 1,460 - 700

190x = 760

2. Divide both sides by 190 to isolate x:

190x ÷ 190 = 760 ÷ 190

x = 4

Learn more about equations here:
brainly.com/question/26229877

Use the slope formula to calculate the slope of a line that passes through points (2, 5) and (3, 8)

Answers

Answer:

m=3

Step-by-step explanation:

In a class of 90 students, the ratio of boys and girls is 4:5 Find the number of boys and girls​

Answers

Step-by-step explanation:

Number of students in class = 90

ratio of boys and girls = 4:5

sum of ratios = 9

Number of boys = 4/9 × 90

= 360/9

= 40

Number of girls = 5/9 × 90

= 450/9

= 50

Hope it helpz~

Rotate the following figure 90 degrees clockwise about the origin (0,0)

Answers

Step-by-step explanation:

The rule for a 90-degree clockwise rotation about the origin (0,0) is:

(x,y) -----> (y,-x)

Simply apply this and you'll get your answer.

Hope this helps :)

3) Jane organized this stem and leaf plot to display recent temperatures. How many days of temperatures are displayed? A) 8 B) 9 C) 10 D) 12

Answers

The stem and leaf plot is an illustration of graphs and charts.

The number of days of temperatures displayed on the stem and leaf plot is 10

How to determine the number of days displayed?

The stem and leaf plot is given as:

Stem            Leaf

4                   9

5                   2  4   4  6  8

6                   0   1

7                   2   3

To determine the number of days, we simply count the number of leaves on the plot.

The leaves on the plot are:

Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3

The number of leaves is:

Count = 10

Hence, the number of days of temperatures displayed on the stem and leaf plot is 10

Read more about stem and leaf plot at:

https://brainly.com/question/12276901

Other Questions
A 15,000 kg railroad freight car travels on a level track at a speed of 2.5 m/s. It collides and couples with a 25,000 kg second car, initially at rest and with brakes released. What is the speed of the two cars coupled together after collision PLEASE HELPPP!!!!!WILL GIVE BRAINLIEST AND 50 POINTS(NO LINKS PLEASE)Buses 1, 2, and 3 make one trip each day, and they are the only ones that riders A,B,C,D,E,F, and G take to work.Neither E nor G takes bus 1 on a day when B doesG does not take bus 2 on a day when D does.When A and F take the same bus, it's always on bus 3 C always takes bus 3 Traveling together to work, B, C, and G could take which of the same buses on a given day?A. 1 onlyB. 2 onlyC. 3 onlyD. 2 and 3 onlyE. 1, 2, and 3 What was Linda's slowest time in the 50-meter freestyle?secondsSubmit How many triangles are inside a decagon? What was the purpose of the Bill of Rights?a.to give rights to the individual over the governmentc.to ensure that freedom would be equal for all peopleb.create protection for the individual from the federal governmentd.creates a sense of community between the public and government Find the center, vertices, and foci of the ellipse with the given equation. (x+4)2/400 + (y+3)2/144 = 1 For four characteristics that all languages have in common are A 24-year-old accountant believes angels have instructed him to embezzle from his company and give the money to the poor. He believes the doctor who prescribed medication is under orders from demons to poison him. The most likely diagnosis for this man is. Can anyone help with this What are the fractions 7 1/2 multiplied by 1/16 Discuss the importance of a balanced diet. The circumference of a dinner plate is 19.4 cm. What is its radius ? Pls help thankssssss Decide whether each of these are a positive or negative effect of globalizationLocal economies and local cultures can havedifficulty adjusting to outside pressuresCorporations can move jobs from one country toanother. For the country that the jobs leave. globalization has impacted themAllows poor countries to develop more quicklymaking life better for the people thereThe connection of different economies aroundthe world results in less conflicts in the worldAn Increase in competition can cause prices todrop worldwide. The environmental regulations are lower in somedeveloping countries1. Positive2. Negative (PLS HELP, if you send a file i'm reporting you) HELPP PWEASEEE BRAINLIESTT FOR THE FIRST what is A reaction in which energy is absorbed called? as urban development takes place , the drainage density of the surrounding natural environment will increase. Explain why this is the case A prepared speech delivered without notes, or with minimal notes is called a(n) __________________ speech. a. impromptu b. manuscript c. memorized d. extemporaneous "Forward, the Light Brigade!" and explain how it supports the theme of heroism. PLS I BEG HELP