find the sum of the first 7 terms of the geometric sequence : 3,9,27,81,...

(with solution)

PA HELP POOO THANKSSSS

Answers

Answer 1

Answer:

3279

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then

S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279


Related Questions

28 points I really need helppppppp

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19 beacsue x is 2 less than y

6 1/2 divided by 3/4 in simplest form

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Answer:

26/3

Step-by-step explanation:

6 1/2 divided by 3/4 = 13/2 divided by 3/4

[tex]\frac{13}{2} / \frac{3}{4}\\[/tex]

[tex]=\frac{13}{2} * \frac{4}{3}[/tex]

=[tex]\frac{26}{3}[/tex]

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

P and R

Step-by-step explanation:

P and R are similar because R is the same thing as P but 2 times bigger.

Which number sentence is true?

Answers

Answer:

B

Step-by-step explanation:

Edge 2021.

D! -3 1/8 is greater than -81/6= -13.5

hi! can someone please help me with these i’m confused on how to answer it

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Answer:

Step-by-step explanation:

yoo I don't understand this pls help :))

geometry ​

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Answer:

At the bottom of the text.

Step-by-step explanation:

The triangle is isosceles. The measure of the two internal angles J and K are equal; The misure of the external K angle (2) is half a circle minus the internal K (1). The internal angle in R is calculated by difference between 180 and twice the internal K angle (1).

1. 72° as well.

2. 180-70-70 = 40°

3. [tex]m\angle2 = 110 \rightarrow m\angle1 =70[/tex], Same as #2: 40°

4. [tex]x+2x+2x = 180 \rightarrow 5x=180 \righarrow x= 36[/tex]

5. [tex]x +(x+30)+(x+30) = 180 \rightarrow 3x +60 = 180 \rightarrow 3x= 120 \rightarrow x=40[/tex]

Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $9. On Saturday, Rob earned $52 babysitting. How much money did he save?

Answers

52 divided by 13=4
4x9=36
He saved $36

Answer:

$36

Step-by-step explanation:

$13 babysitting, $9 saved.

$52 babysitting, $x saved.

Cross multiply

13/13x=468/13

Divide both sides by 13

x=$36

plss answer it correctly...I need asap​

Answers

Answer:

sorry I cannot understand that

You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left? please answer the question without a link

Answers

Answer:

14

Step-by-step explanation:

First fond 40% of 20

20×40/100 = 8

So now there is a total of 20+8 =28

At the store you spend exactly half

28×50/100 =14

So now you are left with 28-14 =14

100 POINTS IF U GET DIS RIGHT!

Answers

Answer:

[tex]- \frac{3}{5}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

y = (x , y)

m = slope = [tex]-\frac{3}{5}[/tex]

x = (x , y)

b = y-intercept = [tex]- \frac{7}{9}[/tex]

With this given information, your slope will be [tex]-\frac{3}{5}[/tex]

Answer:

-3/5

Step-by-step explanation:

The answer is -3/5 I think

I need helpppp with 1-9

Answers

Hi!! What do you need help with? Solving the problems? Or understanding them? Also 1-9 is a bit blurry, so if you could retake it and repost it, I could solve for them. :). But if you don’t want to, don’t worry.

What is the exponential form of the logarithmic equation?

4=log0.7(0.2401)

Answers

The exponential form of the logarithmic equation 4 = [tex]log_{0.7} (0.2401)[/tex] is

0.7⁴ = 0.2401

4 = [tex]log_{0.7} (0.2401)[/tex]

The exponential form of the logarithmic equation can be represented below:

Using logarithm rules,

logₐ b = x

Can be represented in exponential form as follows:

aˣ = b

Therefore,

4 = [tex]log_{0.7} (0.2401)[/tex]

using the logarithm rule described above can be represented in exponential form as follows:

0.7⁴ = 0.2401

learn more: https://brainly.com/question/14411000?referrer=searchResults

Answer:

0.7⁴ = 0.2401

Step-by-step explanation:

Please help!
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.
.
.
.

Answers

Answer:

9

Step-by-step explanation:

To calculate the value of x we must first understand the total value of all angles in a triangle.

Sum of all angles in a triangle = 180 degrees

That said, we need to write an equation for the total number of degrees in the triangle and solve for x

This will be as follows:

(13x+2)+(5x-7)+(3x-4)=180

The we combine the like terms. This will be as follows:

(13x+5x+3x)+(2-7-4)=180

Simplify further to get

21x-9=180

Simplify further by collecting all like terms on one side of the equal. This will entail the addition of 9 on each side of the equal sign as follows:

21x-9+9=180+9

you will find 21x=189

Simplify further by dividing both sides of the equal sign by 21 to solve for x

21x/21=189/21

Therefore x=9

please help me out yall!!​

Answers

Answer:

c

Step-by-step explanation:

The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax

Answers

Before tax price - $34.72
After tax price - $38.19

what multiplication fact can you double to find 4 x 7?

Answers

Answer:

2 x 7

Step-by-step explanation:

4 x 7 = 28

Since you want doubled, we have to half to find start.

28/2 = 14

Only solid equation that equals 14 is 2 x 7

And since 4 is a double of 2, the answer checks out

The multiplication fact that can be doubled to find 4 x 7 is

2 x 7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 7 = 28

Now,

The multiplication of 2 x 7 = 14.

If 2 x 7 is double we get,

2 x (2 x 7) = 2 x 14 = 28

Thus,

The multiplication fact is 2 x 7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Simplify 3 (x - 5) by distributing.​

Answers

Answer:

3x - 5

Step-by-step explanation:

If (8^2)P = 8^4, what is the value of p?

Answers

Answer:

The answer is 2

First, we simplify it to 64^p = 4096.

Then, take the log of both sides:

p = log (4096) / log (64)

p = 2

Please mark brainliest i need 1 more

Step-by-step explanation:

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = 27x3, y = 0, x = 1; about x = 2.

Answers

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

[tex]g(x)[/tex] - Lower bound function[tex]f(x)[/tex] - Upper bound function[tex]a[/tex] - Upper bound[tex]b[/tex] - Lower bound

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

In an attempt to predict a single response variable y, three models are estimated. The standard error of the estimate for Model 1 equals 10, for Model 2 equals 100, and for Model 3 equals 1000. According to the standard error of the estimate, which model provides the best fit

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Ummm 133/2 it the square root of 69 so the absolute value is 42. 0

please helpppppppppoppo

Answers

Step-by-step explanation:

360_90_110=1602a+3a=160a=32°

find the square root of 121.

Answers

Answer:

The answer is 11 your welcome

Answer:

11

Step-by-step explanation:

3/10y - 2/5 i need to find the coefficient and i dont know how

Answers

[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]

-8(-6x+w-4) distributive property

Answers

Answer:

48x-8w+32

Step-by-step explanation:

Multiply -8 to every factor in the equation

(-8)(-6x) +(-8)w (-8)(-4)

48x -8w +32

Hope this helps :)

I NEED THIS ASAP!!

Compare -7 and 5. Which statement is not true?

O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.​

Answers

A. is true b. is true C. is false D. is true

The bookstore sold coloring books for $4. They are on sale for $1. Find the percent decrease.​

Answers

Step-by-step explanation:

4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%

Help please I rlly don’t understand

Answers

a) 2

b) 93

that's the answer

Find an equation for this line?

Answers

Answer:

y = -20/5 or -4/1 + 20 for the equation

60 millions barrels and 34% gas and 29% diesel how many barrels are there total

Answers

Answer:

31800000

Step-by-step explanation:

10495 divide 530 x 48939 - 283 + 38920 =?

Answers

Answer:

1007721.54

Step-by-step explanation:

You first divide 10495 divide 530 which equals 19.8. Then you multply it by 48939 and get 969084.53. Then you add 38637 to 969084.53. Coulda just used a caculator.

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