Given the first term and the common ratio of a geometric sequence find the seventh term of the sequence. a1=2 and r=6​

Answers

Answer 1

Answer:

93312

Step-by-step explanation:

We can use the geometric sequence formula

a= a1(r)^n-1

Substitute:

a=2(6)n^1

a=2 *6^n* 1/6

a=6^n*1/3

Substitute "7" for n:

a(7)=6^(7)*1/3

a(7)=93,312


Related Questions

brainless will be provided if you answer this question, but please hurry.
Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer is C. ✋✋✋✋✋

Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end?

Answers

Answer:

FV= $70,887.15

Step-by-step explanation:

First, we need to calculate the future value of the $130 deposit for 5 years:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= $130

i= 0.08/12= 0.0067

n= 5*12= 60 months

FV= {130*[(1.0067^60) - 1]} / 0.0067

FV= $9,561.96

Now, using the following formula, the future value of the investment after 25 years:

FV= PV*(1 + i)^n

n= 25*12= 300

FV= 9,561.96*(1.0067^300)

FV= $70,887.15

Can someone please help me with this....im stuck.

Answers

The answer is C hope it helps

Answer:

Step-by-step explanation:

One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).

Width = w

Length IS three more than (added to) 4 times (multiplied by) the width

Length = 4w + 3

Area of a rectangle is the width multiplied by the length.

Equation: w(4w + 3) = 24

Solve.

Multiply out the left side.

4w^2 + 3w = 24

Subtract 24.

4w^2 + 3w -24 =0

This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).

[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]

Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.

A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jace
grabs the ladder at its base and pulls it 7 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 41 ft.) Round to the
nearest tenth of a foot.

Answers

Answer:

44.4

Step-by-step explanation:

yes

Answer:

44.4

Step-by-step explanation:

i tried it nd it worked ;)

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Area = 1/2*(19+4)*4

= 46cm²

Step-by-step explanation:

Hope it helps you!

Answer:

19 + 4 = 23

23 x 4 = 92

92 divided by 2 = 46

Step-by-step explanation:

Formula of a trapezoid:

B1 (base 1) + B2 (base 2) x height x 1/2 (basically dividing by 2)

What is the value of (-2+37) - (-3 - 11i)?

Answers

Answer:

I think it is 38+11i not sure but try it

The ratio of boys to girls in Mr. Smith's class is 3:2. Which statement is correct? Circle all that apply. A For every 3 boys, there are 2 girls. B For every 2 boys, there are 3 girls. С There are exactly 5 students in Mr. Smith's class. D The ratio of the number of boys in the class to the total number of students is 3:5. E The ratio of the number of students in the class to the number of girls is 5 to 2.​

Answers

Answer:

A.

Step-by-step explanation:

The ratio is set as boys to girls in the classroom. For every 3 boys, there are 2 girls in the classroom. This does not mean that there are only 5 people in the class.

Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB

What are the endpoints of segment AB?

select both endpoints

(-2,8)

(-1,4)

(0,0)

(1,4)

(2,0)

(4,0)


[please help, i would appreciate it alot]

Answers

Answer:

Step-by-step explanation:

(-1,4) (1,4) 2,0

The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.

The endpoint of the line segment is given as,

A = 0.5(-2, 8)

A = (-1, 4)

B = 0.5(4, 0)

B = (2, 0)

The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.

What is the cost, in dollars, for 1 box of pasta? (only enter a numerical answer in the box)

One box of pasta costs?

Answers

Answer:

$2.60

Step-by-step explanation:

13.00÷5=2.6

6 is in tens placement

Find the inverse of

g(x)=16+x/4

Give full explanation

Answers

Answer:

x/4 + 16

Step-by-step explanation:

to  add or subtract the expressions expand them to make therir deomanators the same . Multiply 16 times 4/4

since 16 x 4/4 have the same deniomanator add them by adding the numorators

do the multiplications in 16X4 + x

= x/4 + 16

hopes this help!


Please help I’ll give points

Answers

Answer:

<2

Step-by-step explanation:

The measure of <5 is <7 ÷ <1 = <2

A car starts from rest and attains a velocity of 9km/h in 5 seconds . Calculate acceleration and the displacement covered in that time

Answers

Answer:

Acceleration is 0.5 m/s² and the distance covered is 6.25 m.

Step-by-step explanation:

Given that,

Initial speed, u = 0

Final speed, v = 9 km/h = 2.5 m/s

Time, t = 5 seconds

We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity

So,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]

Distance d can be calculated using third equation of motion.

[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]

So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.

Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?

Answers

Answer:

the 3rd option

Step-by-step explanation:

Answer:

the correct answer to this is C, have a wonderful day :)

Step-by-step explanation:

What is the difference between the cost of 15 visits with and without a membership? Show your work swimming

Answers

Question is incomplete :

It costs $4 to go to the swimming pool

The cost of n visits =

Membership at the pool costs $21. Members pay $3 each time. WHAT is The cost for a member to swim including membership fee?

What is the difference between the cost of 15 visits with and without a membership?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Swimming cost = $4

Cost of swimming n Times = cost per swim * number of swims

= $4 * n

= $4n

Membership cost = $21

Cost per swim for members = $3

Swimming cost including membership fee :

21 + 3n ; n = number of visits

For 15 visits ; n = 15

Amount paid :

Members = 21 + 3(15) = 21 + 45 = $66

Non - Member = 4(15) = 60

Difference :

$66 - 60 = 6

Members incur $6 more than non - members

Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?

Answers

Answer:

153 batches

Step-by-step explanation:

PLEASE HELP! Whoever solves it first gets Brainliest!

Answers

Answer:

There mistake was on step three because 5 x 5 is 25 and the answer he got was 80.

Step-by-step explanation:


Find the ordered pair that is a member of both -2x + 6y = 34 and
2x + 2y = 14 or indicate if it does not exist or there are infinite
possibilities.

Answers

Answer:

(1, 6) is the solution

Step-by-step explanation:

-2x + 6y = 34

2x + 2y = 14;     divide by 2

x + y = 7;        subtract x

y = 7 - x

let's substitute y with 7 - x in first equation

-2x + 6*(7 - x) = 34;    expand multiplication

-2x + 6*7 - 6*x = 34;    group

-8x + 42 = 34;         subtract 42

-8x = 34 - 42 = -8;      divide by -8

x = 1

y = 7 - 1 = 6

It is the only solution, as we've arrived at exact numbers.

Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .

Answers

Trapezoid because it’s the only shape that has only one pair of parallel lines

Please help I beg like right now and explain peae

Answers

Answer and Step-by-step explanation:

When we take a look at the graph, we can see that at around 1 gallon, which would be halfway between 0 and 2, the line is underneath $5.

That means we can eliminate any number that is or above $5.

That leaves us with answer choices A and C.

Let's go to a point that is easily readable. Point (4, 15) is readable, and we can use this to find the price per gallon.

Divide 15 by 4. We get 3.75 as the result.

This means that the answer choice is:

C. The cost of gas is $3.75 per gallon.

#teamtrees #PAW (Plant And Water)

Help would be gradually appreciated

Answers

Answer:

area is 60.75 m^2

Step-by-step explanation:


PLSZSZ HELPPPP

The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?

Answers

Answer: -16

Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:

-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.

Help ASAP!! Geometry -

Find the volume of the solid. (FSSS!) Round answers to the nearest hundredth.

Answers

Answer:

x = 9.27 cm

Volume = 289.2 cm³

Step-by-step explanation:

SA = Surface Area

SA = 229.2 cm²

P = Perimeter of Base

P = 3(6)

P = 18 cm

H = Height of Solid

H = x

A = Area of Base(Equilateral Triangle)

A = 6²√3 / 4

A = 36√3 / 4

A = 9√3

A = 9(1.732)

A = 31.176

A = 31.2 cm²

SA = Surface Area

SA = PH + 2A

229.2 = 18x + 2(31.2)

229.2 = 18x + 62.4

229.2 - 62.4 = 18x

166.8 = 18x

9.266 = x

9.27 = x

x = 9.27 cm

V = Volume

V = AH

V = 31.2(9.27)

V = 289.224

V = 289.2 cm³

hi amazing people please help i’ll give brainliest thanks!

Answers

Answer:

I dont think so: False

Step-by-step explanation:

If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.

Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?

Answers

the answer is “a-10”
have a great dayyy!!! :)

which expressions is equivalent to 4(2x+3y)​

Answers

Answer: 8x+12y

Step-by-step explanation:

Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:

The distributive property dictates that a(b+c) = ab+ac.

Thus,

4(2x+3y)

8x+12y

Hope it helps :)

Answer:

8x+12y

Step-by-step explanation:

Multiply both numbers times the number is outside the parenthesis

Find the length of the third side. If necessary, round to the nearest tenth.
13
20
help please !

Answers

Answer: D, 15.2

Step-by-step explanation:

use formula a^2 + b^2 = c^2

a^2 + 13^2 = 20^2

a^2 + 169 = 400

       - 169   -169

a^2 = 231

sqrt   sqrt

a = sqrt(231)

a = 15.198 = 15.2

If the sales tax rate is 7 1/4 percent and Jessica paid $1.45 in sales tax for a
sweater, what was the price of the sweater?

Answers

Answer:

$20

Step-by-step explanation:

Find the price of the sweater by dividing 1.45 by 0.0725

1.45/0.0725

= 20

So, the sweater was $20

Jenna bought some rope for a project. The rope cost $3.50 per meter. She bought 432 centimeters of ropehow much did jenn pay for the rope

Answers

Answer:

1 meter= 100 cm

432cm/100=4.32 cm

$3.50*4.32=$15.12

the total cost is: $15.12

Step-by-step explanation:

Answer:

15.12

Step-by-step explanation:

samantha gathered the following information on a given day at the dog park

Answers

Answer:

Ok

Step-by-step explanation:

The table completely to represent Samantha's data is

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

Number of dogs playing=3232

Number of puppies=1515

Now,

We can calculate the number of dogs that have long hair by using the information that there are 66 more dogs that have long hair than dogs that do not have long hair. We know that there are 1111 dogs that have long hair and 1717 dogs that are not puppies. So, the number of dogs that do not have long hair is 1717 - 66 = 1651.

We can also check that the total number of dogs is equal to the sum of the number of puppies and the number of not puppies. 1515 + 1717 = 3232.

Therefore, the table will be;

Dogs Puppies  Not Puppies Long Hair Not Long Hair

3232 1515    1717                  1111                 606

Learn more about two-way table here:

https://brainly.com/question/26788374

#SPJ3

The complete question is;

Samantha gathered the following information on a given day at the dog park.

• There are 3232 dogs playing at the dog park.

• 1515 of the dogs are puppies.

• 1111 of the dogs are not puppies and have long hair.

• There are 66 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha's data.

(I’ll give brainliest)Find the area of the circle below leave your answer in terms of Pi

Answers

Answer:

I think it's 20 i'm not so sure if you get it wrong than i'm sorry

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