write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3

Answers

Answer 1

Answer:

6, 2, 2/3, 2/9, 2/27, 2/81

Step-by-step explanation:

The nth term of a geometric progression is expressed as;

Tn  = ar^n-1

a is the first term

n is the number of terms

r is the common ratio

Given

a = 6

r = 1/3

when n = 1

T1 = 6(1/3)^1-1

T1 = 6(1/3)^0

T1 = 6

when n = 2

T2= 6(1/3)^2-1

T2= 6(1/3)^1

T2 = 2

when n = 3

T3 = 6(1/3)^3-1

T3= 6(1/3)^2

T3= 6 * 1/9

T3 = 2/3

when n = 4

T4 = 6(1/3)^4-1

T4= 6(1/3)^3

T4= 6 * 1/27

T4 = 2/9

when n = 5

T5 = 6(1/3)^5-1

T5= 6(1/3)^4

T5= 6 * 1/81

T5 = 2/27

when n = 6

T6 = 6(1/3)^6-1

T6= 6(1/3)^5

T6= 6 * 1/243

T6 = 2/81

Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81


Related Questions

The function f(x) is defined below. What is the end behavior of f(x)?

Answers

Answer:

first choice

Step-by-step explanation:

5 x 1 3/45 * 1 3/4
What is the answer?​

Answers

Hopes this helps:

Answer: 9 1/3

nine times a number decreased by four

Answers

Answer: 9x - 4

Step-by-step explanation:

We know that a number must be decreased by four. Let's break it up a little.

Nine times some number. We don't know what nine will be multiplied by, so we will just write a placeholder number: x. This number will be multiplied by nine. So it will turn into 9x.

We must decrease (subtract) from this by four. Subtracting 9x by four can be written as 9x - 4.

The answer for this question is 9x-4

A full body treatment costs £125.00 Today there is a 10% discount, how much do you pay ?


Answers

Step-by-step explanation:

[tex] \frac{10}{100} \times 125 = 12.5 \\ 125 - 12.5 = 112.5[/tex]

112.5 £

112$ is how much you pay

Suppose that the local sales tax rate is 7% and you purchase a car for $14,100

a. How much tax is paid ?
B. What is the car's total cost ?

Answers

I don't understand you're language

Help Asapppppppppppp

Answers

Answer:

(-15,0) and (0,-3)

Step-by-step explanation:

(-15,0) = x- intercept

(0,-3) = y-intercept

What additional information must be known to prove the triangles similar by SAS?

Answers

Answer:

We must know what DF and JK are.

Step-by-step explanation:

SAS similarity is when two sides are proportional and the corresponding angles are congruent.

K and F are congruent (A)

KL and GF seem to have a proportion of 5/6 or 6/5 (S)

We need the other S to prove SAS.

5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 - 11r)

Answers

Answer:

Step-by-step explanation:

5.7 + 2(w+1)  = 2w + 9

5.7 + 2w + 2 = 2w + 9

7.7 = 9, which is impossible, so there is no solution.

:::::

-8(4+9r) = 7(-2-11r)

-32-72r = -14-77r

5r = 18

r = 3.6

Need help with math questions. :) Please help me answer them... I will give brainless

Answers

5.) red: slope is -2 and y-int is 1
Blue: slope is 1/2 and y-int is 3
Green: slope is -2/3 and y-int is -4

Answer:

7.)

a. y = -3x+3

b. y = 3x + 4

c. y = x + 3 (not sure about this one)

8.)

x = 63

y = 6

6.)

left an attachment (not sure about the growth triangle though)

5.)

Red Line - slope = -2

                 y-in = 1

Blue Line - slope = (1/2) or 0.5

                  y-in = 3

Green Line - slope = (-2/3) or 0.667

                    y-in = -4

Step-by-step explanation:

Sorry it took me so long

Multiply.
(3x + 1)(x + 7)

Answers

Answer:

the answer is 3x^2 + 22x + 7

Step-by-step explanation:

Expand the polynomial using the FOIL method.

hoped this helped!

brainly, please?

Answer:

3x^2+22x+7

Step-by-step explanation:

A bag contains 1 dollar, 50 cents and 25 cents coins in the ratio 3:5:7. The total amount is $ 1856.
Find the number of each denomination.​

Answers

Answer:

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

Step-by-step explanation:

The total amount of coins is given by x.

Ratio 3:5:7

[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.

[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.

[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.

The total amount of money is $1856.

This means that:

[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]

Multiplying everything by 15

[tex]3x + 2.5x + 1.75x = 27840[/tex]

[tex]7.25x = 27840[/tex]

[tex]x = \frac{27840}{7.25}[/tex]

[tex]x = 3840[/tex]

Amount of coins of 1 dollar:

[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]

Amount of 50 cent coins:

[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]

Amount of 25 cent coins:

[tex]\frac{7*3840}{15} = 1792[/tex]

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.

a) Write a linear equation to describe the total cost of renting the boat.

b) What is the cost of renting the boat for 5 hours?

Answers

i need points pleaseeeeeeeeee

Answer:

a) y=8x+12

b) $52

Step-by-step explanation:

for a)

the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.

for b)

in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:

y=8x+12

y=8(5)+12

y=40+12

y=52

Solve the system of equations
y equals 5 x plus 4
y equals 7 x plus 6

Answers

Answer:

x = -1 , y = -1

Step-by-step explanation:

We have system of equations and are asked to solve them.

We are looking for x and y, since both equations start with y, we can plug one to the other.

y = 5x + 4

y = 7x + 6

5x + 4 = 7x + 6

Now isolate x byitself to get x :

5x + 4 = 7x + 6

Subtract 4 from both sides :

5x = 7x + 2

Subtract 7x from both sides :

-2x = 2

Divide -2 by both sides :

x = -1

Now that we know what x is, we can substitute it into the equations seapraretly.

y = 5(-1) + 4

y = 7(-1) + 4

y = -5 + 4

y = -7 + 6

-5 + 4

-1

-7 + 6

-1

Therefore, both x and y equal -1

Step-by-step explanation:

5x4=20

7×6=42[tex]5 \times 4 = 20[/tex]

plz help me brainlest for the 1st answer

Answers

The answer is a medium Pizza of 12 inches radius.

The formula for finding the area of a square is pir^2(sorry but my phone won’t let me write pi in its symbol form). If we substitute 3 for pi, then that would the 3r^2. Then we would substitute the potential answer choices until we reach one that is closest to 400 in^2. For the small pizza, that would be 9*9*3, which is also 243 inches square. For the medium pizza, that would be 12*12*3, which is also 432 inches square. Finally, for the large pizza it is 15*15*3, which is 675. Therefore, the medium pizza has an area closest to inches square.

Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks one marble at random, what is the probability that he selects a red marble or a yellow marble?

Answers

Answer:

not simplified: 18/44    

Simplified: 9/22

Step-by-step explanation:

d = (4 x 180) - (3 x 90)

Answers

Answer:

d = (4 x 180) - (3 x 90) = 450

Step-by-step explanation:

d = (4×180) - (3×90)

d = (720) - (270)

d = 720 - 270

d = 450

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

tangent 25 = x/15 rounded to nearest tenth

Answers

Answer:

Value of x = 7.0 units.

Step-by-step explanation:

Given the trigonometric equation

[tex]\tan \left(25^{\circ }\right)=\frac{x}{15}[/tex]

Switch sides

[tex]\frac{x}{15}=\tan \left(25^{\circ \:}\right)[/tex]

Multiply both sides by 15

[tex]\frac{15x}{15}=15\tan \left(25^{\circ \:}\right)[/tex]

Simplify

[tex]x=15\tan \left(25^{\circ \:}\right)[/tex]

∵ tan (25) = 0.46630

Thus,

x = 7.0     (rounded to nearest tenth)

Therefore, value of x = 7.0 units.

y - 4= -8 (x - 1)
linear or nonlinear?

Answers

The answer would be it ~linear~

Hope this helps

Have a great day/night!
It’s linear because it going at a constant rate

-8.5n = 17
pls help me

Answers

I believe the answer is n= -2

A square has sides of 10x. Write and simply an expression for the perimeter square

Answers

10X x 4= 40x
.........................
=40x

Answer:

4(10x) = 40x

Step-by-step explanation:

Assuming you meant that each side has 10x, and not the sum of each side is 10x. Since each side has 10x, and every square has equal sides of 4, we can utilize parenthesis.

4 = number of sides

10x = given length of each side

4(10x) = 40x

Same as saying 4 × 10x = 40x.

Sumita buys a set of earphones for £12.17. She pays with £15. How much change does she get? Give your answer in £.

Answers

She will get $8.01. Hope this helped.

Find both the area and the perimeter of the semi circle

Answers

Answer/Step-by-step explanation:

Area of a semicircle = ½πr²

Perimeter of a semicircle = πr + d

7. d = 14 m

r = ½ of d = 7 m

Area = ½*π*7² = ½*π*49

✅Area = 76.97 m² (nearest hundredth)

Perimeter = π*7 + 14

✅Perimeter = 35.99 m (nearest hundredth)

8. d = 35 in.

r = ½ of d = 17.5 in.

Area = ½*π*17.5² = ½*π*306.25

✅Area = 481.06 in.² (nearest hundredth)

Perimeter = π*17.5 + 35

✅Perimeter = 89.98 in (nearest hundredth)

Aliyah's school is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 14 student tickets for a total of $220. The school took in $188 on the second day by selling 11 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket? Write answer as an ordered pair.

Answers

Answer:

Step-by-step explanation:

a and s are the numbers of adult and student tickets, respectively.

9a + 14s = 220

11a + 7s = 188 Multiply by -2 and add to first equation.

-22a - 14s = -376

9a + 14s = 220

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

-13a = -156

a = 12

9(12) + 14s = 220

14s = 112

s = 8

Adult tickets cost $12. Student tickets cost $8.

Clare bought a photo for 19 cents and paid with a $1 bill. How much change should she receive? ASAP

Answers

81 cents. :))))))))((()

Use the distributive property to rewrite the expression in factor form. 18h - 33

Answers

Answer:

you have to factor 3 out of 18h-33 so you get 3(6h-11)

Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below arc summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage?

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]

[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]

Using formula:

[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]

[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]

          [tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]

[tex]\to Sp = 4.0716[/tex]

Calculating the value of standard error:

[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]

          [tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]

Calculating the value of test statistic:

Formula:

[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]

      [tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]

Calculating the value of Degree of freedom:

[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]

Because the P-value is a 2-tailed test = 0.0018

Thus they reject H0, because of P-value < 0.05,

Yeah, certain data show clearly that the means are different.

Nigel has 138 fluid ounces of lemonade. How many 6-fluid-ounce serving of lemonade can he make​

Answers

Answer:

23, because 138 divided by 6 is 23

He can make 23 servings.

1. Set up a proportion and use it to solve for X.
16
12
X

Answers

x/12 = 12/16
x/12 = 3/4
4x = 36
x = 9

Check: 9/12 = 3/4 :)

Which of the following are factorable? Select the two correct answers. (2 points)
O Z2 – 21 – 15
22 +51 +2
22 – 51 +3
O2? +61 + 8

Answers

Answer:

First and last

Step-by-step explanation:

Find the what will multiple to the last number and add to the second number.

reatest to Smallest which is correct?



1. 50 16 5 -64


2. 16 5 50 -64


3. 5 16 -64 50


4. -64 50 16 5

Answers

Answer:

1. 50 16 5 - 64

Step-by-step explanation:

have a nice day

50, 16, 5, -64
Minus numbers are always the smallest for example;
-10 is smaller than -70 because it is closer to positive numbers eg: 1,2,3 eg
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