find g12 in the sequence -1,-3,-9,-27,....
a. -59,049
b. -177,147
c. 118,098
d. -19,683

Answers

Answer 1

Answer:

b. [tex]a_{12}=-177147[/tex]

Step-by-step explanation:

This is a geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

where n is the index in the sequence and x is the common scale factor.

In the given sequence here, the common factor is 3:

[tex]-3\div-1=3\\-9\div-3=3\\-27\div-9=3[/tex]

That's the factor, and we know the first term is -1, so you can write the equation for this sequence:

[tex]a_n=(-1)(3)^{n-1}[/tex]

Finally, plug in 12 for n and solve:

[tex]a_{12}=(-1)(3)^{12-1}\\a_{12}=(-1)(3)^{11}\\a_{12}=(-1)177147\\a_{12}=-177147[/tex]


Related Questions

What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?

Answers

Answer:

x = -7

Step-by-step explanation:

( 5 x − 15 ) 2 = − 100

10x - 30 = - 100

10x = -70

x = -7

Answer:

x = -7

Step-by-step explanation:

[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]

Sarahi has p number of pencils, if she finds 2 more and then triples her amount she still has less than Damaris
who has 40. Write an inequality for how many pencils Sarahi has.

Answers

Answer:

I believe the inequality would be: p+2x3<40

Step-by-step explanation:

Not exactly sure if it is correct but p (number of pencils Sarahi has) added too the 2 more she finds, and then x3 (when she triples her amount). This is less then (<) what Damaris has (which is 40) so it would be p+2x3<40.

Again not sure if its completely correct, but i hope it helps :,)

make w the subject of the formula

Answers

Answer:

w= [tex]\frac{y+1}{2+a}[/tex]

Step-by-step explanation:

y-aw=2w-1

y+1=2w+aw

y+1=w(2+a)

[tex]\frac{y+1}{2+a}[/tex]=w

Write an equation in slope-intercept form of the line that passes through the points.

Answers

Answer:

y=-2x

Step-by-step explanation:

M= y2-y1/x2-x1

  = 6-0/-3-0

  = 6/-3

 = -2

when X is 0 Y is also so C is 0

This is due tonight please tell me the answer If correct will get brainlest thing

Answers

Answer:

5⁵ is your answer bro mark me brainlist

if f(x)= 3x+1 and g(x)= x^2-6 FIND (f+g)(x)

Answers

Answer:

-x² + 3x + 7

Step-by-step explanation:

• f(x) = 3x + 1

• g(x) = x² - 6

Then,

According to th' question :-

(f - g)(x) = f(x) - g(x)

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

is 8/24 greater or 8/20

Answers

Answer:

8/20

Step-by-step explanation:

the 8s may be the same, but because the denominator 20 is smaller than 24, 8 takes up more of it. another way to check is that 8/24 as a decimal is .33 repeating, but 8/20 as a decimal is 0.4.

0.4 is more than .33 repeating. reaffirming that 8/20 is bigger

What is the slope-intercept equation of the line below?
5
17
5
O A. y= 2x-3
O B. y=-2x+3
V
O C. y= 2x+3
O D. y=-2x-3

Answers

Answer:

Step-by-step explanation:

a

The Kim family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?

Answers

Find the number of eggs in 7 crates:

1 crate = 12 eggs

7 crates = 12 x 7 = 84 eggs

Add the 8 eggs in their fridge:

84 + 8 = 92 eggs

Answer:

93

Step-by-step explanation:

7*12=84

84+9=93

What is the perimeter of â–łJKL? 6 9. 5 11. 5 19.

Answers

The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

P = 2(L + W)

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

Learn about perimeter of shapes here: https://brainly.com/question/303508

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

15

Step-by-step explanation:

7.5*2

Answer:

15 ft

Step-by-step explanation:

1 inch is 2 ft

remember 1 ft is 12 inches so,

1 inch is 24 inches

so 7.5 inch will be 24*7.5 = 180 inches

180 inch / 12 = 15 ft

Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those

Answers

Answer:

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Search for questions & chapters

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Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

Question

Bookmark

You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

verified

Verified by Toppr

Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m

Ryan, Alec and Amani went to ShopRite to buy boxes of fruit. Ryan bought 2 boxes of strawberries, 1 box of apples, and 4 boxes of blueberries for $34. Alec bought 3 boxes of strawberries, 2 boxes of apples, and 2 boxes of blueberries for $35. Amani bought 5 boxes of strawberries, 3 boxes of apples, and 2 boxes of blueberries for $49. How much does an individual box of strawberries, apples, and blueberries cost?

Answers

Answer:

5.

Step-by-step explanation:

First, we need to add all the number of baskets Ryan bought first. The equation should look something like this;

34÷(2+1+3)

Our answer is 4.8571428571. However, to put it in simplest terms, we can just say 4.85.

Now, we just keep changing up the numbers but with the same division we were using for Ryan's price on the fruit.

Alec's: 35÷(3+2+2)=5

Amani's: 49÷(5+3+2)=4.9

Notice how all the answers we get answers related to 5. If we all round the numbers, we actually get 5!

So, I believe your answer is 5. I'm terribly sorry if I'm incorrect. (If I am, I will try to fix it in the comments for you)

wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)

Answers

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

1. Mohamed bought 18 fish for his fish tank. He selected some Guppies and Platies. Mohamed really likes Guppies, so he bought three more than twice the number of Platies.

How many Guppies did Mohamed purchase?

Enter your answer in the box.

Mohamed purchased ____ Guppies for his fish tank.


2. The admission fee at the movies is $2.70 for children and $5.25 for adults. On a certain day, a total of 125 people entered the theater and $434.40 was collected.

How many adults were are the movies?

Enter your answer in the box.

There were ____ adults at the movies.


3. At the checkout counter a customer purchased a total of 20 cans of cat and dog food. The canned cat food cost $1.23 per can and the dog food cost $2.74 per can. Before taxes the cost for the cat and dog food was $41.21.

How many cans of dog food were purchased?

Enter your answer in the box.

There were ____ cans of dog food purchased.


4. There are a total of 25 deer in the front pasture. There are five more does than quadruple the number of bucks.

How many bucks are in the front pasture?

Enter your answer in the box.

There are ____ bucks in the front pasture.

Answers

Answer:

Step-by-step explanation:

1. 13

2. 38

3. 11

4. 4

Drag the numbers below to put them in order from least to greatest:

-9 -12 -4
–4 20 -1 -6

Answers

Answer:

-12, -6, -4, -1, 9, 20

Step-by-step explanation:

9, -12, -4, 20 -1, -6

putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).

The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.

Given data: -9, -12, -4, 20, -6, -1

Starting from the smallest number:

-12 is the smallest number.

Next is -9, which is larger than -12 but smaller than -6.

Then comes -6, larger than -9 but smaller than -4.

After that, we have two occurrences of -4.

Following that is -1, greater than -4.

Finally, the largest number is 20.

So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.

Learn more about ascending order here:

https://brainly.com/question/31946606

#SPJ12

The cost of 3 kg of apples and 6 kg of oranges is Rs 300. If the cost of 1 kg of oranges is Rs 30, find the cost of 8 kg of apples.​

Answers

Answer:

Cost of 1 = 30

So cost of 8kg apples=8*30

=240

Step-by-step explanation:

18. Layla conducted a science experiment. She ended up with 19 millimeters of the solution, But she thought she would end up with 16 millimeters. What was her percent error? Round to the nearest tenth.
A.-23.1%
B-15.8%
C.-17.4%
D-84.2%
PLEASE HELP ME!!!

Answers

Answer:

I'm pretty sure it's B. 15.8%

Step-by-step explanation:

It's closest to 3 and there is a difference of 3 between 19 and 16

Can someone help me with this? Its fairly easy but i genuinely dont remember

Answers

Supplementary angels

Dado P(x) = x2– kx + 2, hallar el valor de k para que P( – 2)=8

Answers

K =1 see attached picture

f(x) = -2x - 1; Find f (x - 4)

Answers

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.

Answers

Answer:

1.29s = 11.61

s = 9

Step-by-step explanation:

1.29s = 11.61

s = 11.61/1.29

s = 9

Answer:

The correct answer is Ari's work

Step-by-step explanation:

right on edge

Welcome!^^

Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8

Answers

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].

If we were to replace w with 4 and calculate, we will find the answer:

[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]

[tex]10*4+8=40+8=48[/tex]

Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print

Answers

Answer:

Step-by-step explanation:

1. 7$ for Each Shirt  2$ is for the Print $2.50 is the cost of back

1. (7x2x2.50) ---All Multiplication

2. Answer  35.00

Breakdown

$7.00 Mulltiplied by 2 which gives you $14.00

Then you multiply it by $2.50

Which Gives you $35.00

If 333 + 555 = 999
And 123 + 456 = 488
And 505 + 213 = 809
Then, 344 + 732 = ???

Answers

Answer:

1076

Step-by-step explanation:

Is the answer for the last one is 298?

(2/3)³ in simplist form

Answers

2/3 * 2/3 * 2/3
I think

Answer:

[tex]\frac{8}{27}[/tex]

Step-by-step explanation:

2³ = 2 × 2 × 2 = 8

3³ = 3 × 3 × 3 = 27

( [tex]\frac{2}{3}[/tex] )³

= [tex]\frac{2^3}{3^3}[/tex]

= [tex]\frac{8}{27}[/tex]

A sphere has a volume of V=324 in3. Find its surface area.

Answers

Answer:

A≈228.13in²

Step-by-step explanation:

Using the formulas

A=4πr2

V=4

3πr3

Solving forA

A=π⅓(6V)⅔=π⅓·(6·324)⅔≈228.12916in²

that's the answer

Answer:

A≈228.13in²

Step-by-step explanation:

.............

✌️❤️✌️

i need help on all of this please

Answers

Answer:

Step-by-step explanation: the answer is 69-123

A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

A total of 225 tickets were sold to adults for the school play.

How many tickets were sold to adults?

In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:

x + y = 379

x + 71 = y

Where:

x - Tickets sold to students.y - Tickets sold to adults.

Now we proceed to solve the system of linear equations:

x + (x + 71) = 379

2 · x = 308

x = 154

And the number of tickets sold to adults is:

y = x + 71

y = 154 + 71

y = 225

To learn more on systems of linear equations: https://brainly.com/question/21292369

#SPJ1

Help...? Thanks! No links

Answers

Answer: C) Move it 3 places to the left

Explanation:

We're dividing the number [tex]34.62[/tex] by [tex]10^3[/tex], which is the same as dividing by 1000.

The exponent 3 tells us how many spots to move the decimal point. We move to the left because the number gets smaller. If we multiplied by [tex]10^3[/tex], then we'd move the decimal point 3 spots to the right.

So, [tex]34.62 \div 10^3 = 34.62 \div 1000 = 0.03462[/tex]

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