Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).

b(n)=

Answers

Answer 1

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

How to determine the explicit formula?

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

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Related Questions

A building has a height of 16 1/4 meters. Each floor in the building has a height of 3 1/4meters.
How many floors are in the building?

Answers

Answer:

5

Step-by-step explanation:

16 1/4 divided 3 1/4

royalred just started production of a new synthetic motor oil they have overhead costs of $21,804.00 a month plus manufacturing costs of $4.99 per quart of oil the oil sells for $7.36 per quart and the company's profit per month can be determined by the function p(x)=2.37x-21,804, where x is the number of quarts of oil sold over which of the following intervals will the company be making a profit
a: 2,962, 10,580
b: 9,201, 18,860
c: 2,932, infinite
d: 9,200, infinite

Answers

Considering the given profit function, it is found that the interval of values of x for which the company makes a profit is:

d: 9,200, infinite.

What is the profit function?

Considering x as he number of quarts of oil sold, the monthly profit function is given by:

p(x) = 2.37x + 21,804.

The company makes a profit if p(x) > 0, hence:

p(x) > 0

2.37x + 21,804 > 0

x > 21,804/2.37

x > 9,200.

Which means that option D is correct.

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What is the area of the quadrilateral

Answers

Answer:

Or you could also find the area of 2 triangles and one rectangle.

Area of a triangle = bh/2

1st triangle = 6 x 2 = 12

12 ÷2 = 6

2nd triangle = 6x2= 12 ÷ 2 = 6

Area of a rectangle

A=bh

b = 4

h= 6

6x4=24

Now add all the areas to find out the area of the shape, so

6+6+24 =

[tex]36 {ft}^{2} [/tex]

a. Find the slope of the line that passes through these points.

The slope is
(Type an integer or a simplified fraction.)

b. Is the slope between (1,4) And (3,12) the same as the slope between (3,12) and (4,16)?
Explain.


O A. Yes. Both slopes are equal to
(Type an integer or a simplified fraction.)

O B. No. The slope between (1,4) and (3,12) is equal to (4,16)

. The slope between (3,12) and
th

Answers

slope formula :  [tex]\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

a.                          coordinates : (3,12) and (4,16)

[tex]\sf \rightarrow \dfrac{16-12}{4-3}[/tex]

[tex]\sf \rightarrow \dfrac{4}{1}[/tex]

[tex]\sf \rightarrow 4[/tex]

b.                          coordinates : (1,4) and (3,12)

[tex]\sf \rightarrow \dfrac{12-4}{3-1}[/tex]

[tex]\sf \rightarrow \dfrac{8}{2}[/tex]

[tex]\sf \rightarrow 4[/tex]

⇒ A. Yes. Both slopes are equal to 4

The mass of an ant is 5 x 10-3 grams. The mass of a bee is 1 x 10-¹ grams. Based on this information, how many ants equal the mass of a bee?​

Answers

20 ants equals to mass of the bee if the mass of an ant is 5 x 10-3 grams and the mass of a bee is 1 x 10-¹ grams.

Ratio and proportion

GIven the following parameters from the question

Mass of an ant = 5 x 10⁻³ grams

Mass of the bee = 1 *  10⁻¹ grams

Find the ratio of both masses

Ratio =  1 x10⁻¹ /5 x 10⁻³/

Ratin = 0.1/0.005
Ratio = 20

This shows that 20 ants equals to mass of the bee

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5 × 1 1/4
Do you know the answer?

Answers

The answer should be 6 1/4 :)
(If you’re looking for a decimal it’s 6.25)

Answer:

6 1/2 (mixed) or 25/4 (improper)

Step-by-step explanation:

Firstly, I made the mixed number an improper fraction; 5/4

Then I did the equation;

5/1 x 5/4 = 25/4

25/4 is 6.25 when divided, then made it a fraction; 6 1/4

Hope this helps!

2x+5=12 pleas and thank you :D

Answers

2x+5=12
12-5=2x
2x=7
X=3.5

Answer:

x= 7/2

Step-by-step explanation:

move the constant 2x+5=12 to make it 2x=12-5.

subtract 12-5= 7

2x=7 divide both sides

x=7/2

i did try my best hope this helps :)

ILL GIVE BRAINLIST THING IF YOU HELP PLEASE QUICK

Answers

Answer:

B and C are wrong

B: 7.89 x 10^-4

C: 3.15 x 10^2

Step-by-step explanation:

B is not written correctly. The purpose of scientific notation is to get rid of the decimal places with 0s. So instead of 0.789, it should be 7.89 x 10^-4

C is wrong, it should be 3.15 x 10^2



log2 (10x+5) - log2 5 =5
PLEASE SOLVE AND SHOW WORK
THANKS A TON

Answers

Answer:

[tex]\sf x =15.5[/tex]

Step-by-step explanation:

[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=5[/tex]

[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=log_2 (32)[/tex]

[tex]\sf log_2\left\dfrac{(10x+5)}{5} =log_2 (32)[/tex]

[tex]\sf 2x+1 =32[/tex]

[tex]\sf 2x+1 -1=32-1[/tex]

[tex]\sf 2x =31[/tex]

[tex]\sf x =15.5[/tex]

Answer:

Step-by-step explanation:

[tex]log_{a}[/tex] [tex]x_{1}[/tex] - [tex]log_{a}[/tex] [tex]x_{2}[/tex] = [tex]log_{a}[/tex] [tex]\frac{x_{1} }{x_{2} }[/tex]

[tex]log_{a}[/tex] x = b ⇒ [tex]a^{b}[/tex] = x

~~~~~~~~~~~~~~

[tex]log_{2} (10x+5)[/tex] - [tex]log_{2} 5[/tex] = 5

[tex]log_{2} \frac{10x+5}{5}[/tex] = 5

[tex]\frac{10x+5}{5}[/tex] = [tex]2^{5}[/tex]

10x + 5 = 32 × 5

2x + 1 = 32

x = 15.5

Evaluate 2-(-4) + (-g) where y= 7.

Answers

Answer:

-1

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

answer "Less than"

Step-by-step explanation:

a) 1 2/3 = 5/3 = 1.666 ...

b) 1 5/6 = 11/6 = 1.833 ...

a < b

Answer:

1 5/6 > 1 2/3

Step-by-step explanation:

=>        1 5/6 = (1*6)+5/6

=>        1 5/6 = 6+5/6

=>        1 5/6 = 11/6

so like that, 1 2/3 = 5/3

now the denominators should be the same

for that,

5*2/3*2 = 10/6

11/6 and 10/6

=>          11/6 > 10/6

=>          1 5/6 > 1 2/3

Someone Help me please

Answers

The answer is 35 degrees

1 doller bill and a 10 doller bill and for quarters makes what?

Answers

12 dollars.

1+10=11
Then 4 quarters is $1 so you then add a dollar to get
$12

Answer:

12$

Step-by-step explanation:

1 plus 10 from the singular dollar bill and the 10 dollar bill now we have 11 then we add one because there are 4 quarters which are 1 dollar that is why we have 12 dollars

Find the values of x and y
x=
and
y=

Answers

Answer:

x = 61

y = 29

Step-by-step explanation:

The angle with the measure of 58 degrees and the angle represented by 2x are supplementary because they form a straight line.

2x + 58 = 180 subtract 58 from both sides

2x = 122 divide both sides by 2

x = 61

The angle represented by 2x and the angle represented by 58 are corresponding and their measure is equal to each other

2y = 58 divide both sides by 2

y = 29

Emily and Chris are going to the city to visit a friend t They live 65 miles from the city. They have gone 42 miles already. How many more miles do they have to travel​

Answers

Answer:

They have 23 miles left to travel.

Step-by-step explanation:

If they have 65 miles total to travel and they've already gone 42 miles, 65-42=23

Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.
a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)

Answers

Answer:

d.) (4,6)

Step-by-step explanation:

(-y,x) is the formula for a 90 counter-clockwise rotation.

So, it's (4,6)

show work please and no links

Answers

Answer:

man it’s one in the morning and your picture is blurry a f

Step-by-step explanation:

Your pictures are blurry and one of them is upside down

What is the absolute deviation of 30 in this data set?

{26, 35, 27, 30, 22}

2
3
5
8​

Answers

Answer:

The answer is 2

Step-by-step explanation:

I took the k12 test. Hope this helps!

The correct answer is 2

What is mean absolute deviation?The mean absolute deviation  is a measure of variability that indicates the average distance between observations and their mean.

How to calculate the MAD (Mean absolute deviation)?Take the sum of the absolute value Divide the sum of the absolute value by  the total number of values in the data set. Substract the mean after dividing the sum of the absolute value by  the total number of values in the data set.

Now ,  taking the data {26,35,27,30,22}

Adding the data

26+35+27+30+22 = 140

Now , Divide 140 by the total number of values in data set is 5

Therefore,  140/5 = 28

The mean is 28

Now substract the mean from the absolute deviation of 30

that is  30-28 = 2

Hence , The absolute deviation of 30 is data set is 2.

Learn about the absolute deviation below

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#SPJ2

ILL GIVE BRAINLIEST. ANSWER ASAP

Answers

Answer:

283 m^2

Step-by-step explanation:

To find the area of a circle, you need to times pi, in this case 3.14, by the radius,9.5 here, squared.

A= π (r^2)

What are the solution(s) for the quadratic equation?

Y=x^2-2x+1

Answers

[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1[/tex]

Please help me with this

Answers

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.

why am I still in ambitious?! I have over a thousand points and 5 brainlest and you only need about 250 points and 5 brainlest?! what is going on ????

Answers

Answer:

has the app crashed, if not i dont know

Solve 4g - 5 ≤ 11 for g.

Answers

Answer:

g ≤ 4

Step-by-step explanation:

4g - 5 ≤ 11

Add 5 on both sides,

4g ≤ 11 + 5

4g ≤ 16

Divide 4 on both sides,

g ≤ 4

Just need help, can't remember how to solve it.

Answers

This should help I even showed my work

what is the answer i need help

Answers

Answer:

[tex]588mm^3[/tex]

Step-by-step explanation:

Each side of the blue pyramid is 3 times the size of the red pyramid.

Instead of just dividing by 3 for the volume we must divide by 9 instead because we're working in cubes.

geometry help me please

Answers

Answer:

2448

Step-by-step explanation:

because 12×12=144×17=2448

HELP!:

x^2 + 6x + 9 = ?

This is a factorizing question!! I need help, quickly!

Answers

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

Answer:

x=-3 x=-3

Step-by-step explanation:

You have the equation x^2+6x+9=0. So we are tying to find two terms that add to 6 but multiply to 9. Those numbers are 3 and 3. So now we have x^2+3x+3x+9=0. Then factor it to get (x+3) and (x+3) then to isolate x do x+3=0, x=-3 (move 3 to the other side to get x=-3).

HELP SOMEONE please review the image :D

Answers

The correct answer is 0.5 because 0.5^2 is (0.5)(0.5)=0.25, 0.25 < 0.5 therefore the answer is 0.5 because it is not TRUE

Proving the Sum of the Interior Angle Measures of a Triangle Is 180°

Answers

Answer:

okay that is great.......?

answer:

the full answers for it

Step-by-step explanation:

Write an equivalent expression.
- 2(8+79)
Choose the correct answer below.
OA. -2(8 + 7g) = - 16 + 7g
OB. – 2(8 + 7g) = 7g - 16
OC. – 2(8 + 7g) = - 2 - 14g
OD. -2(8 +79) = - 16 - 14g
-
-


Please help

Answers

Answer:

D

Step-by-step explanation:

You just have to expand and you'll get the answer.

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