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

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

Answers

Answer:

The total number of fish caught was 42

Step-by-step explanation:

A wooden cabinet is in the shape of a rectangular prism. Its base area and height are 10/12m2 and 2/3m, respectively. What volume does the cabinet occupy? A. 5/9m3 B. 1 4/5m3 C. 4/5m3 D. 1/3m3

Answers

Answer:

A

Step-by-step explanation:

yan po ang sagot ko sana po makatulong

A number x, rounded to 2 decimal places is 7.42 write down the error interval for x

Answers

Answer:

7.415 ≤ x < 7.425

Step-by-step explanation:

The number x was rounded to 2 decimal places to give 7.42.

Since rounded off to 2 decimal places, the error interval for x is half of 0.01 subtracted from and added to 7.42.

Thus;

7.42 ± (0.01/2)

(7.42 - 0.005),(7.42 + 0.005)

7.415, 7.425

Now, 7.425 will not be included in the internal because approximating it doesn't give 7.42.

Thus,the error interval is;

7.415 ≤ x < 7.425

Which graph represent it Y=-2x+1 y=-2x^+1

Answers

i don’t see a foto

Explanation:

Answer:

theres no graph my dude. consider re-uploading your question

HELP ASAP!!!!!! AND NO LINKS!!! The Utah Bees discounts tickets 30% for students 14 or younger. If adult tickets cost $23, how much will a student ticket cost after being discounted? Round to the nearest cent if necessary.

Answers

Answer:

$6.90

Step-by-step explanation:

30/100 = x/23

100x = 690

x= $6.90

PLS HELP URGENT AND EASY (FIND AREA)

Answers

Answer:

72.26 cm²

total area = 145.49 cm²

small tri = 12.99cm²

large tri = 23.38 cm²

so shaded area = 145.49 -(2x12.99)-(2x23.88)=72.26cm²

The value of the computer decreases 7% every month. What is the
multiplier?

a) 7
b) 1.07
c) 0.93
d) 0.7

Answers

Pretty sure the answer is A

PLZ HELP!!!

What is 9 + 10?

Answers

The answer is 19 lol

Answer:

21.

Step-by-step explanation:

M a t h .

Please answer the five math questions. No links

Answers

Answer:

1. sin and cos  2. complementary  3. sinA = cosB  4. 80°  5. 17

Step-by-step explanation:

1. cofunctions: having the same value at complementary angles

sin θ = cos (90 - θ), or  cos θ = sin(90 - θ)

2. complementary: two angles sum to 90°, supplementary: two angles sum to 180°

one of the angle in a right triangle must be a right angle = 90°

180°(sum of angles of a triangle) - 90° = 90°(the sum of the other two angles) => which is complementary

3. sinA = cosB

4. cos θ = sin(90 - θ)

=> cos 10° = sin(90 - 10°)

=> cos 10° = sin(80°)

5. sin θ = cos (90 - θ)

=> sin 73° = cos (90 - 73°)

=> sin 73° = cos (17°)

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

Can you please help me

Answers

Step-by-step explanation:

there is the answers for this one

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A map is placed on a coordinate grid. on the map, city 1 is located at (35,78) and city 2 is located at the point (47,122). If each unit is equivalent to 1 mile, how far apart are the cities?

A. (82,100)
B. (41,100)
C. (6,22)
D. (12,44)

Answers

Answer:

D

Step-by-step explanation:

Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.

To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.

Keep in mind that these points are only roughly placed on the map.

But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.

To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.

47 - 35 = 12

To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.

122 - 78 = 44

I assume that the answer you should pick is D. (12, 44)

However, that doesn't exactly answer the question... it's worded a little weirdly.

To solve the rest of the equation, do the following:

Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.

a^2 + b^2 = c^2

12^2 + 44^2 = c^2

144 + 1936 = c^2

2080 = c^2

c = [tex]\sqrt{2080}[/tex]

c = 45.61

The answer is 45.61 units.

please help me with this!
NO BOTS!

Answers

Answer:

10x+100

Step-by-step explanation:

(x+10)10

(x)(10)+(10)(10)

10x+100

Answer:

21 :)

Step-by-step explanation:

BECAUSE IT IS 21 OK ;)

Brainiest be marked, if the answer is correct!!!! Please help!!!

Answers

Answer:

f(-3) = 6

Step-by-step explanation:

This question asks one to evaluate the function (f) for input (-3). It is known that the x-axis represents the input, while the y-axis represents the output. Therefore, find (-3) on the x-axis, and then see where the graph of the line is when it meets the value (-3), this value will be the output. In this case, the output is (6).

A casserole recipe calls for 8 ounces of cheese. Adrian wants to use 1/2 of the amount of cheese in his casseroles.

How many pounds of cheese does he need to make 22 casseroles with his revised recipe?

Answers

Answer:

88 Ounces

Step-by-step explanation:

1/2 of 8 is 4. 22 times 4 is 88.

How do you solve this ? ​

Answers

Angles D and E are equal to 80.
Angles B and C are equal to 80.
The shape is equal to 360 degrees.
We have D is 153 to find E subtract 180 from 153 to get 27.
To find C subtract 180 from 97 to get 83.

4. White Mountain National Forest covers more than 780,000 acres. One-seventh of the forest is reserved as
wilderness. Approximately how many acres are in the wilderness area?
A. 400,000
B. 320,000
C. 260,000
D. 110,000

Answers

Answer:

D.

Step-by-step explanation:

If you trying to find 1/7 of a number, divide by 7.

780,000/7 = 111428

It says approximately so it won't be the exact answer

A park has a large pond and a small pond as shown.
large pond
small pond
• Each pond is in the shape of a circle.
• The radius of the large pond is 4 times the radius of the small pond.
Based on this information, which of the following statements is TRUE?
O A The area of the large pond is 16 times the area of the small pond.
OB. The area of the large pond is 4 times the area of the small pond.
C. The area of the large pond is 2 times the area of the small pond.
Type here to search
O
RI

Answers

Answer:

A The area of the large pond is 16 times the area of the small pond.

Step-by-step explanation:

Small pond for theradius to

statements.

In this case

•- A : 41T -7 you can I'm using 2.

Large Pond '

A- = ITCH.

2)Z pi . (t)

"

a- it 82 530 Divide

A = 64 IT we are looking

for " how many

times

larger.

"

A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. 6 ft Show your work. K к 8 ft Solution:​

Answers

Answer:

73.12 ft²

Step-by-step explanation:

area = (8 x 6) + [(1/2)(3.14)(4²)] = 73.12 ft²

Lena has $87.39 in her bank account. She deposits $5.25 on Wednesday. On Friday she withdraws $15.
What is the balance in her account? $
Do not include any symbols or words with your answer

Answers

87.39 + 5.25 - 15

$77.64

Nana has 3/6 of a cherry pie left. If she gives her six grandchildren an equal piece, how much will each child get?

Answers

answer: 1/12 or 0.083

a 15 foot ladder leans against a wall and makes an angle of 65 degrees with the ground. what is the horizontal distance from the wall to the base of the ladder o the nearest tenth of a foot

Answers

Answer: 6.3

Step-by-step explanation:

Help me please! Write the measure of angles a, b, c, d, e, f, and g for the figure below.
I need help and answers. NO LINKS PLEASE! Thank you! I'll give 10 points and brainliest.

Answers

Answer:

a=55

b=55

c=125

d=125

e=55

f=55

g=125

Step-by-step explanation:

Answer:

∠a = 55°, ∠b = 55°, ∠c = 125°, ∠d = 125°, ∠e = 55°, ∠f = 55°, ∠g = 125°

Step-by-step explanation:

straight lines form 180°:

125° + ∠a = 180°

=> ∠a = 55°

verticle angles are congruent:

∠c = 125°

∠b ≅ ∠a => ∠b = 55°

When two line are parallel:

same side interior angles are congruent:

∠g ≅ ∠c => ∠g = 125°

∠e ≅ ∠a => ∠e = 55°

∠d = 125°

∠ f ≅ ∠b => ∠f = 55°

Ruth uses healthy credit to finance $2,200 for a hearing aid how much would she have to pay each month to pay back the loan in exactly 1 year

Answers

Answer:

$183.3

Step-by-step explanation:

Ruth uses healthy credit to finance $2,200 for a hearing aid how much would she have to pay each month to pay back the loan in exactly 1 year

Ruth took a loan of $2,200

1 year = 12 months

Hence, the amount she would be paying monthly is calculated as:

$2,200/12 months

= $2,200/12

= $183.33333333

Approximately = $183.3

Therefore, Ruth would be paying $183.3 monthly.

please help!!
thank you !!​

Answers

Remember, triangles add up to 180 degrees.

180-(96+67)=17.

A is 17 degrees.

Hope this helped!

Brody just got hired for a new job and will make \$37,000$37,000 in his first year. Brody was told that he can expect to get raises of \$2,000$2,000 every year going forward. How much money in salary would Brody make in his 29th year working at this job?

Answers

Answer:

93000

Step-by-step explanation:

a29 = 93000

what fraction is equivalent to 6/10 and has a denominator of 100

Answers

Answer:

The correct answer is 60/100.

Step-by-step explanation:

6 x 10 is 60 so all you have to do is add 100 as the denominator so that's why I got 60/100 Thank you!

A fraction is a way to describe a part of a whole. The fraction is equivalent to 6/10 and has a denominator of 100 is 6/10.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The fraction is equivalent to 6/10 and has a denominator of 100 will be,

6/10

Multiply both the numerator and the denominator by 10.

= 6/10 × 10/10

= 60/100

Hence, The fraction is equivalent to 6/10 and has a denominator of 100 is 6/10.

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ2

determine the equation that is represented by the table below. x 3 4 5 6 y -3 0 3 6 can some one answer please

Answers

could you maybe be more specific as to what this is talking about ?

HELP ME FASTTTTTTT !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

50 degrees ( Vertically opposite)

Hope it helps

Step-by-step explanation:

The Munn Sugar Processing Plant is able to process 10 tons of sugar
per month. Assuming that this process stays steady, is this example
linear or exponential?

Answers

Answer:

Its Linear

Step-by-step explanation:

Linear!

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