Find the seventh term of the
geometric sequence, given the
first term and common ratio.
a_=1 and r=-2/3
[?]

Answers

Answer 1

Answer:

[tex]T_7 = \frac{64}{729}[/tex]

Step-by-step explanation:

Given

[tex]a =1[/tex]

[tex]r = \frac{2}{3}[/tex]

Required

Determine the 7th term

The nth term of a gp is:

[tex]T_n = a * r^{n-1[/tex]

So, we have:

[tex]T_7 = 1 * \frac{2}{3}^{7-1[/tex]

[tex]T_7 = 1 * \frac{2}{3}^{6[/tex]

[tex]T_7 = 1 * \frac{2^6}{3^6}[/tex]

[tex]T_7 = 1 * \frac{64}{729}[/tex]

[tex]T_7 = \frac{64}{729}[/tex]


Related Questions

Why do we have to do school

Answers

To learn math reading writing and pe.

Help please thank uuuu

Answers

Answer:

B. x = 7; AB = 9, AC = 12

Step-by-step explanation:

12/4 = (x + 2)/(x - 4) (similar triangles theorem)

3 = (x + 2)/(x - 4)

Cross multiply

3(x - 4) = (x + 2)

3x - 12 = x + 2

Collect like terms

3x - x = 12 + 2

2x = 14

x = 14/2

x = 7

✔️AB = x + 2 = 7 + 2

AB = 9

✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)

AC = 9 + 3

AC = 12

please help
a) Complete the table for the graph of y = 0.98 for values of x from 0 to 5
(2)
0
1
3
X
2
4
5
y
(1
b) Which of the following could be the graph of y = 0.94 ?
B.
A
C
Total marks
C C​

Answers

Answer:

Either B or C but i'll have to say B if I had to choose.

Step-by-step explanation:

[tex] {0.9}^{0} = 1[/tex]

[tex] {0.9}^{1} = 0.9[/tex]

[tex]0.9 ^{2} = 0.81[/tex]

[tex] {0.9}^{3} = 0.729[/tex]

[tex] {0.9}^{4} = 0.6561[/tex]

[tex] {0.9}^{5 } = 0.59049[/tex]

As we can tell it decreases slowly.

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

The answer is B.

Answer:

b) A = π ([tex]5^{2}[/tex])

Step-by-step explanation:

area = π [tex]r^{2}[/tex]

diamter

⇒ 10

radius is half of the diameter

⇒ 10 ÷ 2 = 5

area = 3.14 × [tex]5^{2}[/tex]

What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0

Answers

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

A piece of wood is 3 1/2 feet long how many total inches long is it?

Answers

Answer:

42 inches

Step-by-step explanation:

1 foot is 12 inches

12 times 3=36

12 divided by 2=6

36+6=42

9(p-4)=-18 what does p equals ?​

Answers

Answer:

2

Step-by-step explanation:

(2) what is being cooked in a preserve cooker?​

Answers

Did you mean pressure cooker?

Answer:

Rice and other items are being cooked in pressure cookers

I hope it helps you

Find the errors and correct the following mathematical sentences.​

Answers

something is wrong with 4th one.

I solved it as 5x.

please hurry.-. and if u can give all answers to the lesson

Answers

I think that You add all the ages and then divide by how many people you have so
100:10 = 10 is the mean age I guess?

Find the identical expression for the following plz show work

Answers

THAT IS A VIRUS DO NOT GO TO IT DONT GO TO ANY LINK THEY ALL ARD VIRUSES

Find the value of x.
please explain how you got it :)

Answers

Answer:

x=65°

Step-by-step explanation:

Next to x would be 70. (180-110=70).

Since this is an equilateral triangle, the other angle is also 70.

180-70-70=40, so the third angle is 40.

Since this is a right angle, the other angle is 50 (90-40=50).

Since that is 50, and this is an equilateral triangle, the other two angles have to be the same.

180-50=130

130÷2=65

2) The number of rose blooms in Betty's garden is 24 more than the number of blooms in May's garden. There
are at least 135 rose blooms in Betty's garden. How many blooms are possible in May’s garden?

Answers

Answer:

There are at least 111 rose blooms in May's Garden.

Step-by-step explanation:

135-24 is 111 and Betty doesn't have a maximum of rose blooms so that means she can have an infinite amount but it also means that may can't have less than 111.

Please let me know if I am incorrect

Math. Find Mid point and fx​

Answers

Answer: Option B.

Step-by-step explanation:

When we have an interval with lower bound m and upper bound M, such that:

m ≤ x ≤ M

The mid-point is:

(m + M)/2

in this case, we have:

m = 22

M = 27

then the mid-point is:

(22 + 27)/2 = 24.5

and we know that f = 7, then:

f*x = f times the mid-point = 7*24.5 = 171.5

The correct option is B.

MY TEAS GONE COLD I WONDERJNV WHY I GOT OUTTA BED ALONE HELP PLEASE

Answers

Answer:

54

Step-by-step explanation:

2/3(7-16)^2

2/3(-9)^2

2/3*81

54

jessica wondered if elementary school students tend to write more when they are given

Answers

full question plsAnswer:

Step-by-step explanation:

Need help please in number 5

Answers

Answer:

HL  (Hypotenuse-Leg)

x = 13

Step-by-step explanation:

hypotenuse GJ is shared by both triangles.

∠H and ∠K are right angles so they are right triangles.

leg HG = leg KG

so HL theorem

x + 5 = 8

x = 13

RHS Theorem

(Right angle, hypotenuse and side theorem)

By this theorem GK = GH ,

=> x + 5 = 8

=> x = 8-5

=> x = 3

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Solve for b.
5b – 8 = 4 – b
b = [?]
Enter

Answers

raiz ( 8 sobre 5 , o )dominio es b e r rango y e r intercepcion vertical (0,-8)

I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. I’m in 7th grade so can someone make it easy to read like at the explaining part thanks.

Answers

So since our first example is X/4=-12 the first step would be to multiply 4 to both sides meaning you would multiply 4 by the division of 4 so it cancels out because they’re opposite operations do the same to the -12, so -12x4=-36 x=-36 the other example would be the same multiply 2 to both sides so on the left it would cancel out and on the right it would be -16 which is the answer to x
Hope this could help at least a little

I’m so confused can someone help me?

Answers

Answer:

Step-by-step explanation:

7. 15/10 = 24/18

  900 ≠ 240

not similar

8. 4/6 = 9/15

54 ≠ 60

not similar

9. x/24 = 9/40

x= 5.4

10. 8.7/x = 6/16

    6x = 139.2

    x = 23.2

     x = 18.7

11. 24/9 = x/45

   9x = 1080

    x = 120 feet

A bag contains 3 red marbles, 8 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be green?

Answers

Answer:

There would be a 44.4% chance of drawing all blue marbles

Step-by-step explanation:

7+3+8=(total marbles) (8=the amount that are blue in the total 8/18=44.4%

Please help me how do I solve and draw the problem ?

Answers

Answer:

Side of the rhombus is 12 cm. Let d1 = 2x cm , so d2 = 2x+6 cm

Now, 12^2 = x^2 + (x+3)^2 = 2x^2 + 6x+9 = 144, or

2x^2 + 6x-135=0, or

x^2+3x-67.5 = 0

x1 = [-3 +(9+270)^0.5]/2

= [-3+279^0.5]/2

= [-3+16.70329309]/2 = 6.851646544 cm [x2 will be negative and so inadmissible]

So d1 = 2x6.851646544 = 13.70329309 cm and d2 = 19.70329309 cm.

So the area of the rhombus is 13.70329309x19.70329309/2 = 135 sq cm.

helppppp me please this twi ​

Answers

Answer:

4.) 7 : 4 = 36[g] : x [g]

    7 * x [g] = 4 * 36 [g]

    7 * x [g] = 144 [g]

    x [g] = 144 [g] / 7

    x [g]  ≈ 20, 57 [g]

5.) 3:2   250

3x + 2x =250

5x=250

x=50

3x=3*50=150

2x=2*50=100

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/hr and its coarseness is such that it forms a pile in the shape of an inverted right cone whose height is three times its base radius. How fast is the height of the pile increasing when the pile has a height of 10 ft

Answers

Answer:

0.43 ft/hr

Step-by-step explanation:

dv/dt = 15ft³/hr

Height = 10ft

We are required to get dh/dt

h = 3r

r = h/3

Formula for volume = 1/3πr²h

We put value of h

1/3π(h/3)²h

= 1/3π(h²/9)h

= 1/3πh³/9

= πh³/29

dv/dt = 1/27π.3h²dh/dt

= dv/dt = πh²/9dh/dt

Remember dv/dt = 15

When we put this in we get

dh/dt = 15x9/3.142x10²

= 135/314.2

= 0.43 ft³/hr

Please check the attachment I added also to add you.

HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS​

Answers

Number one: if line segments SR & RT are perpendicular line segment Tu and US are perpendicular and angle STR is congruent to angle TSU, then triangle TRS is congruent to triangle SUT
Number two: if line segment AC is congruent to line segment CB and line segment CB bisects line segment AB, then < a is congruent to < B

What is the area of this?

I need step by step

Answers

Answer:

Driveway Area = 218 square feetGarden Area = 230 square feetTotal Area = 448 square feet

See diagram below.

====================================================

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

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

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

quick answer please!!​

Answers

Answer:

I think the last one is correct

the last one is the correct answer

Which function could be represented by the graph on the
coordinate plane?

Answers

Answer:

where is the graph?

Step-by-step explanation:

Among the senior class at a high school, 55% of Ms. Keating’s students plan on majoring in a branch of STEM, while 49% of Ms. Lewis’s students plan on majoring in a branch of STEM. Suppose Ms. Keating chooses 25 of her students at random and Ms. Lewis chooses 23 of her students at random. Since nKpK, nK (1 – pK) and nLpL, nL (1 – pL) are all greater than 10, the Normal condition is met. Let K = the proportion of Ms. Keating’s students from the sample who plan on majoring in a branch of STEM, and let L = the proportion of Ms. Lewis’s students from the sample who plan on majoring in a branch of STEM. What is the probability that the proportion of students who plan on majoring in a branch of STEM is greater for Ms. Keating?

Find the z-table here.

Answers

Answer:

0.662

Step-by-step explanation:

Edge

Which expression correctly represents 10 times the difference of a number and six

Answers

Answer:

10(6 - x) or 10(x - 6)

Step-by-step explanation:

Let the number be x.

Answer: 10(6 - x) or 10(x - 6)

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