Write an explicate formula for this sequence -2, 6, -18, 54

Answers

Answer 1

Answer:

7 =121 and t underscore 15 =193

Step-by-step explanation:

Answer 2

Answer:

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = - 3 , then

[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]


Related Questions

please help! odfpfpsdfsdlfsdfnlkfn pleaseeeeee

Answers

Answer:

x = 13

Step-by-step explanation:

Since the two given angles are vertical angles, we know (5x) = 65.

Divide both sides by 5 : 5x = 65    and we get x = 13

                                             5

please help me didn’t show up

Answers

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

Write an equation in standard form for the line that passes through (4, 4) and has a x-intercept of 3?

PLEASE HELP AS SOON AS POSSIBLE 4/19/2021

Answers

Answer:

y=4(x-3)

Step-by-step explanation:

if x=3, subtract 3 from each side to get x-3=0

point (4, 4). That is, when x=4, y=4.

Plug those in and solve for a.  

y=a(x-3)

4=a(4-3)

4=a(1)

4=a

 Thus,  

y=4(x-3)

solve for x
20
33
14

Answers

Step-by-step explanation:

by basic proportionality therom

x/33=14/20

20×x=14×33

20x=462

x=462/20

x=23.1

The value of x from the triangle is x = 22.1

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangle be ABC and ADE

The triangles ΔABC ≅ ΔADE

Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

So , the ratio of the sides will be

AD / AB = AE / AC

Substituting the values in the equation , we get

14 / 20 = x / 33

Multiply by 33 on both sides of the equation , we get

The value of x = ( 14 x 33 ) / 20

The value of x = 462 / 20

The value of x = 23.1

Therefore , the value of x is 23.1

Hence , The value of x from the triangle is x = 22.1

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Which speeds are equal to 1/2 mile per hour? Mark all that apply.
5/6 mile/5/12 hour
1/4 mile / 1/2 hour
1/10 hour / 1/5 mile
3/8 mile / 3/4 hour
2/3 hour / 1/3 mile
4/5 mile / 4/10 hour
/

Answers

answer :

3/8 mile / 3/4 hour

Solve this equation
√x - 7= √x - 7​

Answers

Answer:

Search on mathaway

Step-by-step explanation:

Just use photomath lollll

Please Help Me!
The table lists the steps to construct a tangent to circle P through point T. Drag the steps so they are in order.

Answers

Answer:

The answer is already in the correct formation, there is nothing to change.

Answer:

 the person above is right.

Triangle DEF is translated five units up. If point D has coordinates (-3, -5) what are the coordinates of D'?

A.
(-3, 0)

B.
(2, -5)

C.
(-3, -10)

D.
(2, -10)

Answers

Answer:

A

Step-by-step explanation:

A translation of 5 units up means adding 5 to the y- coordinate

Then

D (- 3, - 5 ) → D' (- 3, - 5 + 5 ) → D' (- 3, 0 ) → A

Pls help. Due in 5 mintues pls.

Answers

It would be 18 days because you would have to look at the factors of 6 and 9. 6 times 3 is 18 and 9 times 2 is 18. Both have 18 in common in the first 2/3 numbers. Hopefully this makes sense.

If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36

18

9

64

Answers

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36

Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3,4,1, -2,-8,7
Approximately what was the average low temperature for the week?

Answers

-14 add all divide by the amount of numbers to find average

Answer:

-8

Step-by-step explanation:

-7+-3+4+1+-2+-8+7=-8divided by7=-1

two cords.
AD=92 and BC=140
What does m

Answers

Do you have a visual I can go based off of?

Factor the following trinomial:

Answers

Answer:

D

Step-by-step explanation:

Given

n² - n - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the n- term (- 1)

The factors are - 7 and + 6 , since

- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then

n² - n - 42 = (n - 7)(n + 6) ← in factored form

Solution :-

Given,

n^2 - n - 42

We need to factorise it.

So let's start !!

Two factors are -7 and 6.

Therefore,

n^2 - 7n + 6n - 42 n (n - 7) + 6 (n - 7) (n - 7) (n + 6)

Darion buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensitve per pound?

Answers

Answer:

Dried Apricots

Step-by-step explanation:

Divide dollars per pound to find amount per pound and then compare.

FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED

Answers

Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.

Answers

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

[tex]Scale = Length : Width[/tex]

For the painting,

[tex]Scale = 20: 16[/tex]

For the frame,

[tex]Scale = 15: w[/tex]

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

[tex]15 : w = 20 : 16[/tex]

Express as fraction

[tex]\frac{w}{15} = \frac{16}{20}[/tex]

[tex]\frac{w}{15} = 0.8[/tex]

Make w the subject

[tex]w = 15 * 0.8[/tex]

[tex]w = 12[/tex]

The width of the frame must be 12 inches i.e. 15in by 12in frame

2 / 7 - x = 5/4 what is the value of 'x'​

Answers

Answer:

27/28

Step-by-step explanation:

2/7 - x =5/4

-2/7      -2/7

    x=27/28

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?

Answers

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]

This means that the length of each piece of cloth is (1/12) of a yard long.

Answer:

1/12 trust,

because yes. >3

2022 / 2023

please help


dgfhkcgfkgnglhgdh

Answers

A. There are 14 hard candies in total and 45 foods all together therefore the answer is 14/45

HELLP I need this question

Answers

Answer:5^15

Step-by-step explanation: I am Smart :>

Answer:

[tex]5^{15}[/tex]

Step-by-step explanation:

[tex]\frac{(5^3)^9}{5^{12}} \\\\\frac{5^{27}}{5^{12}} \\\\5^{15}[/tex]

3 x 9 = 27

27 - 12 = 15

How long is a string reaching from the top of a 13-ft pole to a point on the 3 points ground that is 7 ft from the base of the pole?

Answers

Answer:

14.76 ft

Step-by-step explanation:

L²= 13² + 7²

L² = 169 + 49 = 218

L = √218 = 14.76 ft

Answer:

14.8

Step-by-step explanation:

We use the Pythagoras theorem because the string and the pole are making a right angle triangle

7^2+13^2=c^2

49+169=c^2

218=c^2

14.8=c

Identify fractions greater than 3/5

Answers

not sure on the options but any fraction that when you divide is greater than .6 ( divided 3/5) would work!

La suma de tres ángulos iguales es igual a 254° 25´ 54” ¿Cuánto mide cada uno de ellos?
La suma de dos ángulos es igual a 76° 35´. Si uno de ellos mide 27° 43´36”. ¿Cuánto mide el otro?
Porfa y gracias

Answers

Answer:

ugxitskydkydmyydktdlydoyzlyzittxltzljxkg

PLEASE HELP I don't understand this stuff yet. Brainliest give away!

Answers

Answer: I think the answer is B

Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.

Answer:

c bc he should use the median cause it is in the affect the mean

Step-by-step explanation:

Guided Practice


Write an equation of the direct variation that includes the point (–8, 10).


A.
y= −4/5x


B.
y= 5/4x


C.
y= −5/4x

Answers

Answer:

C.

y= −5/4x

Step-by-step explanation:

Write an equation of the direct variation that includes the given point. (-8, 10)

1

first divide y by x to find the constant

2

Then write the equation using that constant. The constant can be written as a fraction or a decimal.

RESULT

Please Help! ~ Math ~ You will get +10 points! ~ Multiple Chouce ~ 1 Problem!

In a basketball game, Sarah scored 4 points more than twice the number of points Jamie scored. Jamie scored 3 ponts. How many points did Sarah score?

A. 1 Point
B. 7 Points
C. 10 Points
D. 12 Points-

Answers

Sarah: 3x2 is 6+4 is 10 so C :)

Answer:

10

Step-by-step explanation:

If Jamie scored 3, and sarah scored twice that much, multiple 3 by two

3x2=6

Sarah also scored 4 more points then twice of his points.

6+4=10

Your answer is ten points

Please help I have been stuck for a while now

Answers

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

The relationship between the number of pounds (lb) of trail mix and the price
in dollars is shown in the graph. What is the unit price of trail mix?


A. 1 lb/$8
B. $8/1 lb
C. $1/8 lb
D. $16/2 lb

pls answer quickly since this is a quiz :)) picture included above

Answers

i think it should be B, let me know if it’s right

A landing pad for a helicopter is in the shape of a circle with a radius of
7 meters. Which of the following is
closest to the area of the landing pad?
A. 44 square meters
B. 154 square meters
C. 205 square meters
D. 308 square meters

PLEASE NO LINKS!

Answers

Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

Oliver uses 30 fruits to make a large batch of pineapple-orange juice. He uses 5 oranges for every 1 pineapple. He gets 2.5 fl oz of juice from each orange and 20 fl oz of juice from each pineapple​

Answers

Answer:

isnt like 40 the answer (im sorry if im wrong 3rd grader)

Step-by-step explanation:

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