PLEASE ANSWER!!!!! What is the sum of the n terms of the series 4 + 12 + 36 + 108 + . . . ?

Hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio. (4 points)

Sn = −2(2n − 1)
Sn = 2(3n − 1)
cap s sub n equals start fraction n over two end fraction left parenthesis four plus three n right parenthesis
cap s sub n equals start fraction four left parenthesis three to the power of n end power minus one right parenthesis over n minus one end fraction

Answers

Answer 1

Answer:

+tn is 4372.

Step-by-step explanation:


Related Questions

Madeline was out at a restaurant for dinner when the bill came. Her dinner came to $13. After adding in a tip, before tax, she paid $15.34. Find the percent tip.

Answers

Answer:0.351

Step-by-step explanation:

so this is the first question/ discussion i have to do.

Answers

Answer:

arrange 3+4=5

Step-by-step explanation:

because 3 square = 9 and 4 square =16 and their sum is 25 and the square of 5 is 25 . both are same .

Hence proved

If (3,2) —> (2, -3) represents a counter clockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

A. 90°
B. 180°
C. 270°
D. 360°

Answers

360 samsksmsmsk sorry!

what is the slope of a line passing through (-3,-7) and (1,4)

Answers

solution,

slope(m) = y2-y1/ x2-x1

= 4+7/1+3

=11/4

I hope this is correct, the formula can be wrong so pls double check if u have formula.

What is the value of x?

Answers

Answer:

x= 12.33333333333

10.6-10.7 quiz big ideas question 9

Answers

Answer:

-4.7

Step-by-step explanation:

the radio of used cars at a dealership is 7:5. if the dealership has 156 cars on the lot , how many are new ?​

Answers

Answer:

91 used

65 new

Step-by-step explanation:

7 + 5 = 12

156/12 = 13

7(13) = 91

5(13) = 65

help please!
integrate the following:
[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2a) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

Answers

Answer:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration:

[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

notice that you can simplify the integrand

recall that,

[tex] \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1[/tex]

thus substitute:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx[/tex]

remove parentheses:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx[/tex]

[tex]\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

factor out 2:

[tex]\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

we can use algebraic identity i.e

a²-b²=(a+b)(a-b) to factor the denominator

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

reduce fraction:

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx[/tex]

[tex] \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx[/tex]

distribute:

[tex] \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx[/tex]

use sum integration formula:

[tex] \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx[/tex]

recall integration rules:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) [/tex]

and we of course have to add constant of integration

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

1. How many terms are in the expression
4a + a² + 6a²?
A 3
B 4
C 5
D 7

Answers

Answer: A.3

Step-by-step explanation:

there are 3 terms in the expression.

which can be computed ​

Answers

Answer:

ba is the correct answer

Answer:

CA

Step-by-step explanation:

sana makatulong po ❤❤

NO BOTS I WILL REPORT PLS HELP QUICKK PLSSS ILL GIVE EXTRA POINT$ plsss Which points
are solutions to the system of inequalities shown below? Check
all that apply.

Answers

Answer:

I think option (B) is right answer

Andrew picked vegetables from his garden and put them into bags. He put 10 carrots into each of 3 bags, 8 tomatoes into each of 4 bags, and 6 turnips into each of 5 bags. How many vegetables did he pick in all?

A.
24

B.
36

C.
92

D.
108

Answers

10 carrots in 3 bags
8 tomatoes in 4 bags
6 turnips in 5 bags

10*3= 30 carrots
8*4= 32 tomatoes
6*5= 30 turnips

(30*2)+30= 92 vegetables

Answer: C
Here is a fun way to solve your problem!
ANSWER:
C. 92

Write log7(1/49)=-2

Answers

Answer:

[tex]7^{x}[/tex]=[tex]\frac{1}{49}[/tex]

Step-by-step explanation:

The answer is 1/49 hopes this help you

pls help i need it asap

Answers

Answer: y = 4x - 4

Step-by-step explanation:

The line goes through -4 on the y axis meaning its y intercept is -4

and the line goes up by 4 ( that being the slope )


What is the range of the data set 125,
236, 185, 125, 201, and 155?​

Answers

Answer:

111

Step-by-step explanation:

Range is the difference between the highest and the lowest term.

Here highest term is 236 and lowest term is 125.

Range --> 236-125

=111

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A dancer spends one hour and fifteen minutes altogether at her two dancing lessons; Street
Dance and Tap Dance.
The tengths of the classes are at a ratio of 3:2.
How much longer is the Street Dance class than the Tap Dance class?

Answers

Answer:

15min

Step-by-step explanation:

1hr15min=60min+15min=75min

Street dance: Tap Dance =3:2 =3x:2x

Difference:3x-2x=x

3x+2x=75

5x=75

x=15

Kirk drew a scale drawing of a petting zoo. The scale he used was 8 centimeters : 5 meters. The goat pen is 24 centimeters long in the drawing. How long is the actual pen?

Answers

The actual length of the pen is 15 meters

How to determine the actual length of the pen?

The given parameters can be represented using the following ratio

Ratio = 8 centimeters : 5 meters

The scale length of the goat pen is given as

Scale length = 24 centimeters

So, we have

24 centimeters : Actual length = 8 centimeters : 5 meters

Rewrite as

24 : Actual length = 8 : 5 meters

Express as fraction

Actual length/24 = 5 meters/8

Multiply by 8

Actual length = 15 meters

Hence, the actual length of the pen is 15 meters

Read more about scale drawing at:

https://brainly.com/question/22298974

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‏‏‎ ‎‎‎‎‎‎‎‎‎‎‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer:

2x + 2x + x - 8 = 4 (x + 2)

x = 16

Step-by-step explanation:

Because that's a square, the perimeter would be 4s where s is the measure of the side:

2x + 2x + x - 8 = 4 (x + 2)

To solve, refer below:

2x + 2x + x - 8 = 4x + 8

5x - 8 = 4x + 8

5x = 4x + 8 + 8

x = 16

Pls can anybody help??

Answers

Answer:

B. <

Brainlist Pls!

Look at the example pics below:

Plz help with this math

Answers

Answer:

[tex]\frac{n^4p+n^2}{p^3} \\[/tex]

Step-by-step explanation:

We are given the equation [tex]\frac{n^4}{p^2} + \frac{n^2}{p^3}[/tex]

To solve we need to first find the LCM of the denominators, which would be [tex]p^3[/tex].

[tex]\frac{n^4p}{p^3} + \frac{n^2}{p^3}[/tex]

Now combine the fractions to get the final answer :

[tex]\frac{n^4p+n^2}{p^3} \\[/tex]

An oatmeal container has a diameter of 20 cm and can hold 1570 cm3 of oatmeal. What is the height of the container of oatmeal

Answers

Answer:

5 cm approx

Step-by-step explanation:

Given data

Diameter= 20cm

radius= 10cm

Volume= 1570cm^3

We know that the expression for the volume of the container/cylinder is

V= πr^2h

1570= 3.142*10^2*h

1570=3.142*100*h

1570=314.2h

h= 1570/314.2

h=4.99 cm

Hence the height is 5 cm approx

How old is mrs. Kim if 400 reduced by 2 times her age is 244?

Answers

Answer:

78

Step-by-step explanation:

[tex]400-224=156\\156/2=78[/tex]

Mrs. Kim is 78 years old

Step-by-step explanation:

400-2x=244

 400-244=156

  156=2x

   x=78

   

please show work
Max has a collection of 99 dimes and pennies worth $4.41. How many pennies does he have?

Answers

Answer:

61 pennies

Step-by-step explanation:

d + p = 99

0.1d + 0.01p = 4.41

d = 99 - p

0.1(99 - p) + 0.01p = 4.41

9.9 - 0.1p + 0.01p = 4.41

-0.09p = -5.49

p = 61

Answer: 61 pennies

Which type of interest can be described as interest that is earned on the principal amount only

Answers

Answer : Simple interest . This is only paid on the principal amount

Simple interest is the type of interest that is earned on the principal amount only.

What is Interest?

Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.

Simple interest is one of the type of interest.

Simple interest is defined as the interest obtained over the principal amount on a certain rate.

Suppose that, a certain transaction has an annual interest rate of 2% for a period of 10 years.

If the principal amount is P, then in simple interest, interest will be a fixed amount, that is, 2% of P, in the whole period.

In compound interest, the interest will be compounded each of the year or month or quarterly depending on the criterion.

Hence the type of interest described here is simple interest.

Learn more about Simple Interest here :

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The following table of values represents a...

A) Linear Function

B) Quadratic Function

C) Exponential Function

D) Rational Function

Answers

Answer:

C:  Exponential function

Step-by-step explanation:

This is an exponential function.  While the terms decrease steadily, they do not decrease by subtraction of any common difference.  Definitely not a linear function (y = mx + b) or a quadratic (ax^2 + bx + c) either.

Damian invested $8,400 in an account paying an interest rate of 2% compounded
daily. Brayden invested $8,400 in an account paying an interest rate of 2%
compounded annually. After 8 years, how much more money would Damian have in
his account than Brayden, to the nearest dollar?

Answers

Answer:

$332

Step-by-step explanation:

Consider the net of a prism below. Describe the prism that the net models.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the net of the prism is not shown.

However, I will give a general explanation on how to determine the net of the three popular prisms.

(1) Rectangular prism.

It is made up of 6 rectangles

(2) Triangular prism

It consists of 3 rectangles and 2 triangles

(3) Square prism

It is made up of 6 squares

See attachment for the net of each prism

I need help no links please and thank you

Answers

Answer:

I say its b

Step-by-step explanation:

Angelo rode his bike around the trail that was 1/4 of a mile long. He rode his bike around the trail 8 times. Angelo says he rode a total of 8/4 miles. Terresa says he is wrong and that he actually rode 2 miles. Who is correct? Use your words to explain how you know?

Answers

Answer:

They both are correct

Step-by-step explanation:

It is given that :

The length of the trail is = 1/4 of a mile

Angelo rode his bike around the trail = 8 times

So Angelo said that he rode his bike around the trail for = 8/4 miles

Terresa says Angelo actually rode his bike = 2 miles

They both are correct as 8/4 mile is equal to 2 miles in the simplified form.

So both of them are correct.

what is the length of RU?

Answers

Answer:

Length of RU is 20 units.

Step-by-step explanation:

In ΔRSt and ΔRUT,

ST ≅ TU [Given]

RT ≅ RT [Reflexive property]

∠RTS ≅ ∠RTU [Both the angles are the right angles]

ΔRTS ≅ ΔRTU [By SAS property of congruence]

Therefore, RS ≅ RU [By CPCTC (corresponding parts of the congruent triangles are congruent]

8x = 6x + 5

8x - 6x = 5

2x = 5

x = 2.5

Length of RU = (6x + 5)

                      = 6(2.5) + 5

                      = 15 + 5

                      = 20

Length of RU is 20 units.

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