Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Answers

Answer 1

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1


Related Questions

Eddie's bedroom is shaped like a rectangle. It has an area of 208 square feet. The width of the room is 13 feet. What is the length?

Answers

Answer:

16

Step-by-step explanation:

Answer:

16 feet is the length.

Step-by-step explanation:

The area of a rectangle is A = L x W

If we know the area then:

208 = L x 13

208/13 = L

L= 16 feet

Find the difference: (6a + 6) - (3x - 2) - (2a + 4)

Answers

Answer:

4 a − 3 x + 4

Step-by-step explanation:

I just simplified everything together to get this answer.

Hope that this helped! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

Auntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?

Answers

Answer:

Step-by-step explanation:

I think the original proce would be  $265

1. Subtract the percentage discount from 100

100 - 20= 80

2. Multiply the final price($245) by 100

245 × 100= 24,500

3. Divide the answer in step 2 by the answer in Step 1

24,500 ÷ 80= $306.25

answer is $306.25

How to check to ensure your answer is correct:

1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.

$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)

2. Subtract the discount in dollars from the "answer"

$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)

OR

1. Multiply the original price by the number you get from step 1 in your problem divided by 100

$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)

Find an equation of the line that bisects the acute angle formed by the graphs of negative 5X plus 7Y +4 equals zero and 7X minus 5Y +6 equals zero

Answers

Answer:

Step-by-step explanation:

x+ y = 0  

and

-2x + 5y + 2 = 0

Step-by-step explanation:

given line

3x+5y+2=0

5x+3y-2=0

solution

when two line bisect each other then line equation of bisector is express as

  1

and here

A1 = 3

B1  = 5

C1 = 2

and

A2 = 5

B2  = 3

C2 = -2

so now put value in equation 1 we get

   

solve it we get

-2x + 5y + 2 = 0   1

and

3x+5y+2 = - ( 5x+3y-2 )

solve it we get

8x + 8y = 0

x + y = 0  2

Answer: D -12x +12y -2 =0

Step-by-step explanation:

Edge 2021

Brianna earns $19,500 per year. Lisa earns $1000 per month. Write a numerical expression that represents how much more Brianna earns per year than Lisa

Answers

Answer:

$19,500 - $1000

Step-by-step explanation:

the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns

$19,500 - $1000 = $18,500

SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM

Answers

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

A bag contains 10 blue counting chips and 10 red counting chips. What is the probability that, without looking, Miguel will pick a blue chip first, which he will keep, and on his second draw Miguel will select a red chip?


1/10


11/21


5/38


5/19

Answers

Answer: 5/19

Step-by-step explanation:

(probability of blue chip)/(total chips) x (probability of red chip)/(new total chips)

10/20 x 10/19 = 100/380

simplify: 5/19

no links please or you will be reported .

Answers

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Use the remainder theorem and synthetic division to find f(k) for the given value of k.

Answers

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

 

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

work out the value of x.​

Answers

Answer:

4.8

Step-by-step explanation:

area of rectangle = lxb = 8x

area of trapezium =  (a+b)h/2 = ( x+13)6 /2 = 3x + 39

Aea of whole figure = 91.8

8x + 3x+ 39 = 91.8

11x = 91.8-39

x= 52.8 /11 = 4.8

I hope im right! !t

girl name are April, may, June, what is the name the mother?​

Answers

mary is the 4th childs nam,e

NEED HELP WITH THIS QUESTION

Answers

52,987


I believe I subtracted the asset sum by liability.

Complete the point-slope equation of the line through (-9,6) and (−7,−8)

y−6=

Answers

Answer:

its 9 :)

Step-by-step explanation:

hkjgh

Which number is equivalent to (6^2)^0

Answers

Answer:

B

Step-by-step explanation:

Anything to the 0 power is 1

The Pacheco family has a monthly income of $ 7,300 . They have monthly fixed expenses of $ 3,280 . In July, they had monthly variable expenses of $ 2,620 . They have annual expenses totaling $ 14,000 . Assuming annual expenses are paid off at an equal rate monthly, what was the Pacheco’s cash flow for July?

Answers

Answer:

Positive 233

Step-by-step explanation:

7300-3280-2620-1167(14000/12)=233.

A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?

Answers

Answer:

5 balls

Step-by-step explanation:

Sorry if it's wrong.

If you know the answer your a genius at math^

Answers

Answer: I think its B

Step-by-step explanation: hoped this helped :)

Please help ! Please help! I will heart you !

Answers

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Answer:

65 degrees

Step-by-step explanation:

180-115=65 degrees

The line that 115 degrees is on is equal to 180.

I need work shown as well

Answers

Answer:

Step-by-step explanation:

the area of the squared is 5 * 5 = 25

the area of the triangle is 1/2*base*height = 1/2*2*5= 5

the area of the circle is  [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625

now add the pieces up for the total

25+5+19.625 = 49.625 [tex]in^{2}[/tex]

:)

First, find the area of the semi-circle.

A= pi*radius squared

Find your radius. The diameter is 5, half of that is 2.5

Input into the formula

A= pi*2.5^2

  =3.14*6.25

  =19.625 in^2

You can round that to about 19.6 inches.

Find the area of the square

A=s^2

 = 5^2

 = 25 in^2

Find the area of the triangle.

A= b*h/2

 = 2*5/2

 = 10/2

 = 5 in^2

Add it all up.

19.6+ 25 + 5= 49.6

∴ 49.6 in²

Best of luck!

determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 5,15,45,...

Answers

Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

solve the system of equations -3x+2y=-3 and -x-y=-11 by combining the equations

Answers

Answer:

-4x, 1y, -14

Step-by-step explanation:

Hope this helps :)

help screenshot below

Answers

Answer: Isosceles Acute

Hope this helped! :)))

Wilson Swartz rents a car for 5 days at $51.29 a day and has unlimited miles. Wilson drives 198 miles and spends $29.90 on gasoline. The CDW fee is $15.50 per day. What is the total cost? What is the cost per mile?

Answers

Answer:

Total cost=333.95

Cost per mile=6.622

Step-by-step explanation:

5x51.29=256.45

5x15.50-77.50

256.45+77.50=333.95

Solve for x.
Question 4 options:

A)

8

B)

–8

C)

9

D)

–9

Answers

Answer:

x = -9

Step-by-step explanation:

Given:

BC = x + 19

ST = x + 29

Required:

Value of x

Solution:

Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side

Thus:

BC = ½(ST)

Substitute

x + 19 = ½(x + 29)

Multiply both sides by 2

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

2.
Lisa is 1.50m tall. Sean is 35cm shorter. How tall is Sean
in metres?

Answers

Answer:

Sean is 1.15m

Step-by-step explanation:

35cm = 0.35m

Lisa is 1.5m tall and Sean is 0.35m shorter

1.5m - 0.35m = 1.15m

Sean is 1.15m

Find the total surface area. Round to the nearest hundredth if necessary.

Answers

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

solve (x – 5)^2 = 17

Answers

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsMultiple Roots

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

[Equality Property] Square root both sides:                                                    x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides:                                    x = 5 ± √17

HELP ME OUTT PLSS BXJXID

Answers

Answer:

d

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The probability of picking a brown pencil greater than the probability as NOT picking a brown pencil because there more brown pencils than purple so there is a higher chance you will get a brown than NOT get a brown.

Find the probability of drawing a 10 from a standard deck
of 52 cards,

Answers

Answer:

4/52 or 1/13 (simplified)

Step-by-step explanation:

There are 4 "10's" in a pack.

This means you have the chance to pick 4 10's.

So out of 52 cards, you can get 4.

4/52 -> Which can be simplified to 1/13.

This is the probability of getting a 10 (once) in a standard deck of cards.

The probability of drawing a 10 from a standard deck of 52 cards is 1/13.

Number of 10's in a standard deck of 52 cards  =4

Total cards =52

What is probability?

Probability is the measurement of the possibilities of events.

P(event) =Favorable outcomes/ Total possible outcomes

Here, Favorable outcomes =4

Total possible outcomes =52

P(10) =4/52

P(10) =1/13

So, the probability of drawing a 10 from a standard deck of 52 cards =1/13

Thus, the probability of drawing a 10 from a standard deck of 52 cards is 1/13

To get more about probability visit:

https://brainly.com/question/24756209

1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
create the dollhouse bed. Her bed is 36 inches wide and 60 inches long. If she wants
to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
Explain how you got your answer.
*Use the term SCALE FACTOR in your explanation.


PLS ANSWER QUICKLY !!!

Answers

The answer to the question is Ashby
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