What is the 6th term in the sequence below?
4,-8, 16, -32,

Answers

Answer 1

Answer:

−128

Step-by-step explanation:

Answer 2

Assuming the pattern continues...

Answer:

[tex]128[/tex]

Step-by-step explanation:

We see that this is a geometric series with common ratio [tex]-2[/tex].

So, the 6th term is the 4th term times [tex](-2)^2=2^2=4[/tex].

So, the answer is [tex]4(-32)=\boxed{128}[/tex] and we're done!

Note:

The closed form for this geometric series is [tex]4*(-2)^{n-1}[/tex], which means the nth term is always [tex]4*(-2)^{n-1}[/tex].


Related Questions


An image can translate horizontally and vertically at the same time.
O True
O False

Answers

Answer:

False

Step-by-step explanation:

I think this is correct.

Answer:

True

Step-by-step explanation:

Diagonal is the process of moving an image along not only the x-axis but also along the y-axis at the same time.

Abdul drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?

Answers

Answer:

9.9 gallons

Step-by-step explanation:

250 mi/9 gas = 27.7777 miles per gallon of gas

275 mi/ (27.77 mi/gal) = 9.9 gallons

9.9 gallons,,,,,,,,,,,,,,,,,,

which expression is not equavilent to 50x+20?​

Answers

Answer:

First choice 4(15x + 5)

Step-by-step explanation:

Let's check them all (We checked 2)

1)

4(15x + 5)

->

60x + 5

1 does not equal 50x + 20

2)

2(25x + 10)

->

50x + 20

2 does equal 50x + 20

Help ASAP giving brainliest

Answers

Answer:

X >= 1

Step-by-step explanation:

Answer:

x>=1

Step-by-step explanation:

I will give you a simple definition for Closed and Open number lines.

Closed circles in this number line mean INCLUDING 1 and everything greater so X>=1, or row 2 column 1.

Identify the relationship between the pair of angles y and v PLZZZZ THANK YOUUUU

Answers

Answer:

Q1. angle x + angle y = 180°

Q2. angle x = angle y

Find the slope of the line that passes through the following points: 5,10.5 25,12.5

Answers

the slope is 1/10

y2 - y1 / x2 - x1

Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9 for the second and third​ digits, but the last two digits cannot both be 1​ (to avoid confusion with area codes such as​ 911). How many different area codes are possible with these​ rules? That same rule applies to the exchange​ numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those​ rules, how many​ 10-digit phone numbers are​ possible? Given that these rules apply to the United States and Canada and a few​ islands, are there enough possible phone​ numbers? (Assume that the combined population is about​ 400,000,000.)

Answers

Using the fundamental counting theorem, we have that:

648 different area codes are possible with this rule.There are 6,480,000,000 possible 10-digit phone numbers.The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

8 options for the first digit.9 options for the second and third.

Thus:

[tex]8 \times 9 \times 9 = 648[/tex]

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

7 digits, each with 10 options.648 different area codes.

Then

[tex]648 \times 10^7 = 6,480,000,000 [/tex]

There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

A similar problem is given at https://brainly.com/question/24067651

Answer: Number of possible area codes: 792

Amount of​ 10-digit phone numbers: 6,273,640,000

Step-by-step explanation:

The highest common factor (HCF) of two numbers is 6.
The lowest common multiple (LCM) of the same numbers is 60

What are the two numbers?
Please explain every step

Answers

Answer:

12 and 30

Step-by-step explanation:

HCF = 6 = 2×3 means they both have in common a factor of 2 and a factor of 3, but at least one of the numbers has no more than one of each of these factors.

LCM= 60=2²×3×5 means That the combined product of their factors counting only once the ones they have in common is 60.

so they could be 2×2×3 = 12 and 2×3×5 = 30

This I my question any body help

Answers

I believe it’s table 2 I hope it helps

Answer: table 2

Step-by-step explanation:

its because the rest of the tables do not have a pattern that ‘makes sense’ unlike table 2. for table 2, for every one 1 km there’s 10$

What graph shows a proportional relationship between x and y?

Answers

I believe it would have to be the second graph as a proportional relationship has to make a straight line that passes through the origin

Answer:

second graph

Step-by-step explanation:

the line running at same rate

1. 5 + x = -2



2. 8m = 48

Solve this problems giving brainliest


Answers

Answer: 1. x=-7 2. m=6

Step-by-step explanation:

1. 5 + x=-2

to get the x by itself, you need to subtract 5 from both sides

5-5 +x = -2-5

there for 0 + x = -7 which means x=-7

2. to get 8m to just m, you need to divide 8m by 8. and what you do to one side of the equation, you need to do to the other. therefore 8m/8=48/8 and 48/8=6. therefore m=6

Answer:

1. 5+x=-2

x=-2-5

x= -7

2. 8m=48

m= 48/8

m= 6

Please Mark BRAINLIEST as promised!

For Exercises 8 and 9, find the lengths of all three sides of the triangle.

Answers

9514 1404 393

Answer:

  8. GH = 49; HJ = 35; JG = 35

  9. KL = 26, LM = 26, MK = 20

Step-by-step explanation:

8. The sides opposite the marked angles are congruent.

  JG = JH

  3x +8 = 35

  3x = 27 . . . . . . . subtract 8

  x = 9 . . . . . . . divide by 3

We already know JG and JH, so we only need to find GH:

  GH = 6x -5 = 6(9) -5 = 54 -5 = 49

Then the side lengths are ...

  GH = 49, HJ = 35, JG = 35

__

9. This, too, is an isosceles triangle.

  LK = LM

  26 = 2y+8

  18 = 2y . . . . . . . subtract 8

  y = 9 . . . . . . . divide by 2

  KM = 3(9) -7 = 27 -7 = 20

Then the side lengths are ...

  KL = 26, LM = 26, MK = 20

Can someone pleas help me with this

Answers

The answer will most likely be DNE(does not exist) because negative numbers do not have real square roots. If you are looking for an answer with imaginary numbers just reply to this answer.

I NEED HELP FAST PLEASE!!!!!!!!!!!!

Smith was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 850 points. The number of​ two-point field goals that Lindsey made was 57 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 41 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Lindsey Smith made during the 2006 regular season.

Answers

Answer:

the answer of this question is 4000

Step-by-step explanation:

it's because if u add it up you will get the answer hope this helps

Please help asap! Correct answer gets brainliest

Answers

Answer:

4

Step-by-step explanation:

She blocked 15 shots and missed 4

So divide 15 by 4. The Answer is 3.75, which is nearly 4.

4 times 4 is 16.

A boutique sold $127.50 worth of purses. How many purses did they sell?
$7.50

Answers

Answer:

They sold 17 purses

Step-by-step explanation:

Jamel plans to take a cruise that leaves out of New Orleans and needs to rent a car to see the sights as well as travel to and from the airport. The cost of renting a car is S50 plus $0.75 per mile for every mile over 40 miles driven. If Jamel's total cost for renting the car is $122.75, use the composition of functions to find how many miles Jamel drove the car on his vacation?

Answers

Jamel drove 137 miles on his vacation. If you take $122.75 and subtract 50 than it is it is 72.75. The you divide 0.75 to the 72.75 and you get 97. You add the 40 miles free of charge to the 97 to get 137 miles.

Ethan, Caleb, and Jayden went to a bakery to buy desserts. Ethan bought 2 cupcakes, 2
brownies and a pie for $20. Caleb bought 4 cupcakes, 4 brownies and a pie for $44, Jayden
bought 5 cupcakes and 6 brownies for $40. Write a system of equations to represent is
situation. Convert the system to a matrix and find the cost of 1 cupcake, 1 brownie, and 1
pie to the nearest cent.

Answers

Answer:

x = 32

y = -20 and

z = -4

Step-by-step explanation:

Cupcakes = X

Brownies = Y

Pies = Z

Ethan = 2x+2y+z = 20

Caleb = 4x+4y+z = 44

Jayden = 5x+6y = 40

-1(2x+2y+z=20) =

(-2x - 2y - z = -40) + (4x+4y+z=44)

= 5x + 6y = 40

-3(2x+2y=24 =

(-6 - 6y = -72) + (5x + 6y = 40)

= - x = - 32

= x = 32

5 (32) + 6y = 40

= 160 + 6y = 40

6y = 40 - 160

y = 120/6

y = - 20

2(32) + 2(-20) + z = 20

64 - 40 + z = 20

z = 20 - 24

z = -4


1. The ratio of red marbles to blue marbles
in a bag is 2 to 5. If there are 60 more
blue marbles than red marbles in the
bag, how many marbles are there all
together?

Answers

Answer:

84

Step-by-step explanation:

Cross multiply to solve for the red marbles

Let x = the number of red marbles

2/5 = x/60

Cross multiply

2(60)/5 = x

x = 24 which is the number of red marbles.

60 blue plus 24 red = 84 total marbles.

Solve.
Ms. Holmstrom set up a math problem to find out how much money her class spends for lunches at the cafeteria for over a 2-day period. On Monday, 14 students bought lunches in the cafeteria, and 16 students bought lunches on Thursday. If lunches cost $2.50 each, how much money has Ms. Holmstrom's class spent?

Answers

Answer:

They have spent $75

16+14 = 30

30 x 2.50 = 75

Step-by-step explanation:

What is the measure of the supplement of each angle 117º

Answers

Answer:

The supplementary angle of 117° :

= 180° – 117°

= 63°

solve the inequality. 1/4w ≥ 4​

Answers

the inequality would be 16

Answer:

16

Step-by-step explanation:

A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?

Answers

Step-by-step explanation:

Let +a+ = liters of 40% solution needed

Let +b+ = liters of 25% solution needed

+.4a+ = liters of HN03 in 40% solution

+.25b+ = liters of HN03 in 25% solution

------------------------------------

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(2) +a+%2B+b+=+57+

-----------------

(1) +.4a+%2B+.25b+=+.26%2A57+

(1) +.4a+%2B+.25b+=+14.82+

(1) +40a+%2B+25b+=+1482+

Multiply both sides of (2) by +25+

and subtract (2) from (1)

(1) +40a+%2B+25b+=+1482+

(2) +-25a+-+25b+=+-1425+

+15a+=+57+

+a+=+3.8+

and, since

(2) +a+%2B+b+=+57+

(2) +3.8+%2B+b+=+57+

(2) +b+=+53.2+

3.8 liters of 40% solution are needed

53.2 liters of 25% solution are needed

check:

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+

(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+

(1) +14.82+=+.26%2A57+

(1) +14.82+=+14.82+

think you should got the answer

A truss or staircase frame from the custom steel products cost $2.25 for each rod plus $50for shipping and handling

Answers

The equation that can be used to represent the cost paid for the staircase frame is 50 + 2.25x

Based on the information given, let the number of rods be represented by x.

Fixed cost = $50

Variable cost = $2.25 × x = 2.25x

Therefore, the equation to calculate the total cost will be:

= Fixed cost + Variable cost

= 50 + 2.25x

Therefore, the equation to represent the fact that the staircase frame cost $2.25 for each rod plus $50 for shipping and handling is 50 + 2.25x

Read related link on:

https://brainly.com/question/25219532

Solve for the value of v.
(56+6)
(40+3)

Answers

Answer:

2666 if you multiply the sum of the parenthesis

but if you add them then the answer is 105

Step-by-step explanation:

56+6=62

40+3=43

62•43= 2666

which is bigger 0.8253 or 0.82?
will give brainliest!!!​

Answers

Answer:

0.8253

Step-by-step explanation:

because there are numbers after, 0.8253 is bigger. 0.82 doesn't have any numbers after to make it slightly bigger.

Emily made fruit punch for a party. She used 2/6 of a cup of grape juice. 3/6 of a cup of strawberry juice. and 4/6 of a cup of pop. How much fruit punch did she make?​

Answers

Answer:

She made 1 1/2 cup of fruit punch.

Step-by-step explanation:

2/6 + 3/6 + 4/6 = 9/6

= 1 3/6 = 1 1/2

she made 9 /18 if u need it simplified it is 1/2

the larger of two numbers is nine more then four times the smaller number the sum of the two numbers is sixty-nine find the tow numbers

Answers

Answer:

i do not know

Step-by-step explanation:

please give the answers, thank you! :D​

Answers

Answer:

1.

a. False

2.

a.True

Step-by-step explanation:

Under his cell phone plan, Brandon pays a flat cost of $61 per month and $4 per
gigabyte. He wants to keep his bill under $75 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Brandon can
use while staying within his budget.
Inequality:
g=

Answers

Answer:

61 + 4x = 75

Step-by-step explanation:

75 - 61 = 14

14 / 4 = 3.5

He can only use 3 gigabytes.

Answer:

[tex]61 + 4g < 75 \\ 4g < 75 - 61 \\ 4g < 14 \\ g < 3.5[/tex]

The answer is g is less than 3.5 GB per month

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