Find the 12th term of the geometric sequence 2, 10,50,...

Answers

Answer 1

The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.

Geometric sequence:

Important information:

Given geometric sequence is 2, 10,50,...

We need to find the 12 th term.

In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].

The nth term is:

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

Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.

The 12th term is:

[tex]a_{12}=2(5)^{12-1}[/tex]

[tex]a_{12}=2(5)^{11}[/tex]

[tex]a_{12}=97656250[/tex]

Therefore, the 12th term of the geometric sequence is 97656250.

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Answer 2

Answer: 97656250.

Step-by-step explanation:

dm


Related Questions

-8+15+2x=5+6x-6x

News ASAP
My teacher didn’t teach me this

Answers

Answer:

x = -1 you have to combine like terms.

X=-1 is the correct answer. All you have to do is isolate the variable and divide each side by the factors that don’t contain the variable:)

What kind of solution does 3x+5=-2 have?

Answers

Answer:

[tex]x = - \frac{7}{3} [/tex]

step by step:

3x+5=-2

move constant to the right-hand side and change it's sign

3x=-2-5

Calculate the difference

3x=-7

Divided both sides of the equation by 3

1/5+x+2/3=1 PLEASE HELP

Answers

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

Si a un numero "X" le sumo 3 y al resultado lo multiplico por 2, me da 14 ¿cual es ese numero?

Answers

4 porque si le sumas eso al 3 da a 7 y por 2 da a 14

Help please! Answer only if you know the correct answer, thanks.

Answers

Answer:

AB and AC

Step-by-step explanation:

I think I'm not 100 but....

A gas station had two pumps. Pump A dispensed 241,752 gallons. Pump B dispensed 113,916 more gallons than Pump A. About how many gallons did both pumps dispense?

Answers

Answer:

Total gallons= 597,420

Step-by-step explanation:

Giving the following information:

Pump A dispensed 241,752 gallons.

Pump B dispensed 113,916 more gallons than Pump A.

First, we will calculate the number of gallons dispensed by Pump B:

Pump B= Pumb A + 113,916

Pump B= 241,752 + 113,916

Pump B= 355,668 gallons

Now, in total:

Total gallons= 241,752 + 355,668

Total gallons= 597,420

a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.

Answers

Yes! A ton is 2000 pounds and the tow truck can pull 5 tons, so you multiply 5 by 2000. That is 10,000 pounds and is more than 9,000 pounds which is how much the truck weighs. So the tow truck can tow the truck

Hope this helps

(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?​
PLZ HELP WILL GIVE BRANLIST

Answers

Answer:

25

Step-by-step explanation:

so lets write our ratios.

Students that wear glasses to the whole class:

2 : 5

Students that wear glasses to those that dont:

2 : 3

And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be

10 : 15

10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.

Anyone know the answers???

Answers

Answer:

A. -80

B. 60

C. 98

D. -54

Step-by-step explanation:

ez give brainliest pls

A would be -80 b would be 60 c would be 98 and D is -54

PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!

Answers

Answer:

12

Step-by-step explanation:

X x Y =20 So 12 Then 12 - 12 + 12 = 12

what is 2/5 of 110??

Answers

Answer:

44

Step-by-step explanation:

Remember that "of" in math means the same as multiplication.

2/5 * 110 = 44

Answer:

44

Step-by-step explanation:

2/5×110

of in mathmatics means multiplication

Therefore, the answer is 44

you can walk 1 1/2 miles in 1/2 hour. what is your average speed?

Answers

Answer:

3mph

Step-by-step explanation:

Depending how far you're traveling and how fast you traveled. When doing speed you typically do it by hours and the unit will be miles per hour (mph).

1. 1.5 mi=0.5 hr

2. Multiple 0.5 by 2 to get one hour, and do the same to the other side

2(1.5)=2(0.5)

3. 3mi=1hr

4. The answer is 3mph

Plssss helpppp ASAPP
will mark BRAINLIEST!!!

Answers

Answer:

I would say the last one

Step-by-step explanation:

The third works the same way but 46/17 is hard to calculate without a calculator

The answer is : C

Explanation: You can solve the problem using the elimination method, and that is what the question asks for!

MARK ME AS BRAINLIEST ANSWER

x + 3x-1 + 2x+1 what is the perimeter

Answers

Answer:

To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.

Step-by-step explanation:

5) William sold half of his comic book collection then purchased 10
more. He now has 24 comic books. How many books did William
begin with?

Answers

Answer:

14

Step-by-step explanation:

If he has a total of 24

and he just purchased 10

24-10= 14

The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals

Answers

Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer:

(x+1)(x+2)(x-3)

Step-by-step explanation:

24 = -3(2а — 15) — а

Answers

Answer:

a=3

Step-by-step explanation:

24= -3(2a-15)-a -->given

24=-6a+45-a -->distribute the -3

24=-7a+45 -->combine like terms

-21=-7a -->subtract 45 from both sides

3=a -->divide both sides by -7

SHOW YOUR WORK
20x4.17

Answers

20x4.17
Answer = 83.4

Answer:

83.40

Step-by-step explanation

_______________2 0________

×     4 1 7

________________________

+     1 4 0

+     2 0  

+   8 0

___________________________    

=  8 3. 4 0

The domain for the equation y = 3x + 14 is listed below. Find the range for the given domain.
D:{-5,0,4}
R:

Answers

Answer:

R:{-1,14,26}

Step-by-step explanation:

The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:

Given: y=3x+14

When x=-5:

y=3(-5)+14

y=-15+14

y=-1 (this is the first point of the range)

When x=0:

y=3(0)+14

y=0+14

y=14 (this is the second point of the range)

When x=4:

y=3(4)+14

y=12+14

y=26 (this is the last point of the range)

Therefore, our range is R:{-1,14,26}

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

We have,

To find the range for the given domain of {-5, 0, 4} in the equation

y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.

When x = -5:

y = 3(-5) + 14

y = -15 + 14

y = -1

When x = 0:

y = 3(0) + 14

y = 0 + 14

y = 14

When x = 4:

y = 3(4) + 14

y = 12 + 14

y = 26

Therefore,

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

Learn more about functions here:

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what difficulty did you encounter in determining polynomials?​

Answers

Answer:

I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.

The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.

(-1)(-11) please solve!!

Answers

Answer:

A positive 11

Step-by-step explanation:

11 is your answer

AB = 3x + 5, AC = 9x - 13

Solve for x . I’ll give brainliest to the first person who answers:)

Answers

Answer:

x = 2

Step-by-step explanation:

I assumed that you wanted me to set them equal to each other, so that is what I did. I wasn't given any other number to go by so hopefully this is correct.

1) What would be another way to name plane M?
(picture attached)

A. plane KJH
B. plane J
C.plane HJG
D.plane GJN

Answers

The correct answer is C plane HJG

Find the product of the two binomials below
(x-8) (x+4)

Answers

Multiply it out
x^2 + 4x -8x -32
Combine like terms
x^2 -4x - 32
X2 - 4x - 32

That’s your answer, hope this helps! Also, the 2 is supposed to be up on the right by the x.

HELP URGENT‼️‼️

Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?

Answers

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

Answer:3

Step-by-step explanation:

Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?

A. -12/13
B. -5/13
C. 5/12
D. 12/13

Answers

Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

Answer:

A

Step-by-step explanation:

Ed2021

To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.

What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP

Answers

Answer: 0.31

Step-by-step explanation:

Simple division.

Answer

the Answer is 12

Step-by-step explanation:

Sal needs 3 quarts of blue paint and 2 quarts of white paint to paint his room. How many quarts of blue paint will he need to paint his parent's room, if he needs 6 quarts of white paint?

Answers

Answer:

9 quarts of blue paint

Step-by-step explanation:

the ration is 3:2

2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well

⎧ ​ y=4x(x−2) x+y=2 ​ One of the solutions to this system is (2,0)(2,0)left parenthesis, 2, comma, 0, right parenthesis. Find the other solution. Your answer must be exact. ((left parenthesis ,,comma ))

Answers

7.5 is the answer to your very long problem

I NEED HELP PLEASE 10 points

Answers

Answer:

b.y=1/2x-3

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I took the assignment

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