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

help with my math READ IT CARFULLY

Answers

Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28

Srec = 6 . 4 = 24

S= 6,28 + 24 = 30,28

the answer is 30,28

ok done. Thank to me :>

Help me ;-;

Find (2)(‐3)

Answers

-6
Would be your answer

A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

17/3

Step-by-step explanation:

to find out the width, we need to divide the area by the length.

68/12=5.666666667

fraction form: 17/3 (5 2/3)

Liam bought 5 7/8 pounds of steak. He used 2 1/16 pounds of steak for a cookout.

Answers

The pounds of steak remaining after the cookout is 3 13/16 pounds

Given:

Total steaks bought = 5 7/8

Steaks used for cookout = 2 1/16

Total steaks remaining = Total steaks bought - Steaks used for cookout

= 5 7/8 - 2 1/16

= 47/8 - 33/16

= (94-33) / 16

= 61/16

= 3 13/16 pounds

Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds

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equivalent expressions to 3/5x +3

Answers

Step-by-step explanation:

......3(x+5)/5......

Brian had $40 in his savings account in January. He continued to add money to his account and by June, the value of the savings account had increased by 50%. How much money is in Brian's account in June?

Answers

Answer:

Well the answer is

Step-by-step explanation:

GET YO BUTT OFF THIS APP AND ACTUALLY READ A MATHS BOOK

Simplify this expression
4X^2y^3 x 2x^3y^4

Answers

Answer:

8^5^7

Step-by-step explanation:

Multiply the numbers:

4X^2 y^3 x 2x^3 y^4

8^2 ^3 ^3 ^4

Combine Exponents:

8^2 ^3 ^3 ^4

8^5 ^3 ^4

8^5 ^3 ^4

8^5 ^7

Plz help
Find ‘x’ & ‘y’

Answers

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]

[tex] \frac{25}{5} = 5[/tex]

so:

[tex] \frac{x}{4} = 5[/tex]

x=5×4

x=20

and...

[tex] \frac{y}{3} = 5[/tex]

y=3×5

y=15

Two boxes are similar. The longest dimension of the smaller box is 6 inches and its volume is 48 in3. The longest dimension of the larger box is 12 inches. What is the volume of the larger box?

Answers

Answer 34 is the volume of the lager box explanation

Answer:96

Step-by-step explanation:

its math can someone help

Answers

Answer:

$2.5/game

Step-by-step explanation:

To find Slope, Change of rate

find two points on the graph

I selected : (4,14) and (8, 24)

Slope: y2-y1/x2-x1

24-14/8-4

10/4

5/2

=2.5

so the rate of change is $2.5/game

f(x)= 2/(x+3) find domain

Answers

Answer:

x < -3 or x > -3

Due in 5 mins help please!!!

Answers

Answer:

answer B is correct answer!

I think so

Last week, Keegan bought 4 shirts and 9
hats for a total of $108.
Today, Keegan bought 17 shirts and 21 hats
for a total of $321.
Assuming neither item has changed in price,
what is the cost of a shirt in dollars?
to write down notes or work through problems

Answers

Answer:  Shirts are $9 each and hats are $8 each

Step-by-step explanation:

Let S be the price of a Shirt, and H the price of a Hat.

First Week:  4S + 9H = $108

Today:         17S + 21H = $321

We have 2 equations and 2 unknowns (S and H).  Rearrange one of the equations to isolate one of the unknowns.  I'll rearrange the first for S:

4S + 9H = $108

4S  = $108 - 9H

S =  ($108 - 9H)/4

S = 27 - 2.25H

Now use this value of S in the second equation:

17S + 21H = $321

17(($27 - 2.25H) + 21H = $321

Solve for H:

459 -38.25H + 21H = $321

-17.25H = - 138

H = $8

Each hat was $8.

Use this value in the first equation to find S:

4S + 9H = $108

4S + 9*($8) = $108

4S + $72 = $108

S = $9

Each shirt was $9.

==

Check to see if the numbers give the correct results:

4*($9) + 9*($8) = $108

17*($9) + 21*($8) = $321

Both yield the correct amounts. Shirts are $9 each and hats are $8 each.

Nick and Sally run on the 100m straight track,Nicks's speed is 3m/s,Sally's soeed is 2m/s.If they both start from two sides of the track, running towards each other continuously.Then they would meet each other ... times after 10 minutes

Answers

They would meet 30 times after 10 minutes.

Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:  

30 x 20 + 2 x 20 = 60 + 40 = 100 10 minutes = 600 seconds 600/20 = X 30 = X

Therefore, they would meet 30 times after 10 minutes.

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What is the equation of the line that passes through the point (-4,6) and has an undefined slope?

Answers

answer: x=-4

Explanation: it is undefined so it will be x=…

if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc

Answers

Step-by-step explanation:

a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²

HENCE PROVED

-b²-c²=2bc

Step-by-step explanation:

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

you buy 5 pounds for 35 how much dose one pound cost

Answers

Answer: 35 divided by 5 = 7.

Step-by-step explanation: therefore one pound is $7

Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?

Answers

Answer:

120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799

Which polynomials are listed with their correct additive inverse? Check all that apply. X2 3x â€"" 2; â€""x2 â€"" 3x 2 â€""y7 â€"" 10; â€""y7 10 6z5 6z5 â€"" 6z4; (â€""6z5) (â€""6z5) 6z4 x â€"" 1; 1 â€"" x (â€""5x2) (â€""2x) (â€""10); 5x2 â€"" 2x 10.

Answers

Given to us:

[tex](a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10[/tex]

Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.

(a)

[tex]x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\[/tex] on solving this we will get zero.

hence, this is an additive inverse.

(b)

[tex]-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)[/tex]  on solving this we will not be getting zero.

hence, this is not an additive inverse.

(c)

[tex]6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}[/tex]  on solving this we will get zero.

hence, this is an additive inverse.

(d)

[tex]x-1;\ -x+1\\x-1+( -x+1)[/tex]    on solving this we will get zero.

hence, this is an additive inverse.

(e)

[tex]-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10[/tex]  on solving this we will not be getting zero.

hence, this is not an additive inverse.

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my Christmas present to you​

Answers

Answer:

ty

Step-by-step explanation:

how do I find the volume of this shape?​

Answers

Answer:

length times witdth times height

4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?

Answers

Answer:

You can! It's just a matter of personal choice.

Step-by-step explanation:

How to factor 10n^2 +n -3
and 2d^2=8de+6e^2

Answers

Answer:

(5+-1) (2+2

Step-by-step explanation:

Find the difference between 7/10 and 1/5

Answers

Answer:

Its d 5/10

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

what is the measure of angle W?

Answers

Answer:

really to easy

so

x=35

w=81

t=70

c=151

Step-by-step explanation:

Kendricks Kennel has 2 spots for cats for every 7 spots for dongs. If he has a total of 144 spots for both cats and dogs, how many more spots does he have for dogs than cats

Answers

i got 80 as 7-2=5 and 144/9=16 and 16x5=80

You need 12 dozen cookies for a bake sale. The original recipe makes 48 cookies (4 dozen). How much of each ingredient will you need?

To make a mixed number, type the whole number, then a space, then the fraction part. Example: Two and one-fourth would be 2 1/4.

Only type whole numbers, fractions or mixed numbers in the boxes below (NO DECIMALS). If it does not exactly match the answer I typed in, it will be marked incorrect. Use the / key by the right-side shift button as the fraction bar.

Ingredients Original Recipe Your Amount

All purpose flour 214 cups

cups

Baking Soda 1 teaspoon

teaspoon

Salt 12 teaspoon

teaspoon

Butter, softened 1 cup

cup

Granulated sugar 34 cup


cup

Brown Sugar 34 cup

cup

Egg(s) 1

Vanilla 1 teaspoon

teaspoon

Semisweet Chocolate Chips 2 cups

cups

What is the constant of proportionality for this situation?

Answers

Answer:

So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups

describe the transformation​

Answers

Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.

g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.

pls help me on this im stuck

Answers

Answer:

44 or B

Step-by-step explanation:

Look at comments above

44cm is the correct answer

In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?

Answers

Answer:

  60

Step-by-step explanation:

We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...

  red : blue : yellow = 14 : 15 : 6

Multiplying this by 4 will give 24 yellow chairs:

  4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.

60 chairs are blue.

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