31. (05.08 MC)
What is the equation for a geometric sequence with a first term of 3 and a second term of -9?

Answers

Answer 1

Answer:

[tex]a_n=3(-3)^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termr is the common ratio

Given:

[tex]a_1=3[/tex][tex]a_2=-9[/tex]

To find the common ratio r, divide consecutive terms:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{-9}{3}=-3[/tex]

Therefore, the equation is:

[tex]a_n=3(-3)^{n-1}[/tex]


Related Questions

Solve with substitution.

-3y = x
-8x + 2y = 26

Answers

Using substitution
x=-3
y=1

What is the formula that relates circumference and radius?
O A. C+ 2 = 21
O B. C = 277 Dr O C. C= 2ter O D. C= 20/1

HELP QUICK!!!!

Answers

Answer:

C = 2πr

Step-by-step explanation:

The circumference of a circle is calculated by the formula here,

C is the circumference of the circle.

r is the radius of the circle.

π is 22/7 or 3.14.

In the given options π is not missing.

Therefore the formula that relates circumference and radius is C = 2πr.

Answer:

C=2πr

Step-by-step explanation:

C =2πr is the formula to calculate circumference of a circle

Where

C=Circumferencer is radiusπ has Approx value 3.141

Hhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.

Answer: A

Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph

If B is 60% more than A, then A is
A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B

Answers

Answer:

37.5% less than B

Step-by-step explanation:

It is given that B is 60% more than A.

A (160%) = BA = B / (160%)A = B / (8/5)A = 5B/8A = 0.625BA = (62.5%) B

Since A is 62.5% of B, it is 37.5% less than B.

Answer:

A. 37.5% less than B

Step-by-step explanation:

We can write an equation to model this:

B being 60% more than A means that:

B=0.6A+1A

B=1.6A

Let's isolate A.

A=B/1.6

Multiply the top and bottom by 10 to get whole numbers

A=10B/16

Simplify

A=5B/8

5/8 = 62.5%

A=0.625B

Therefore, A is 62.5% of B

This means that A is 37.5% less than B.

Look at the image below. Find the area of the parallelogram.

Answers

Answer:120square unit

Step-by-step explanation:khan

What is the square root of A=121 ft2

Answers

The result of the square root of the equation A = 121 ft² is √A = 11 ft

What are square roots?

Square roots are numbers multiplied by itself to give another number

How to determine the square root?

The equation is given as:

A = 121 ft²

Take the square root of both sides

√A = √121 ft²

Evaluate the square root

√A = 11 ft

Hence, the square root of the equation A = 121 ft² is √A = 11 ft

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Which number line shows the N equality n <= -1?

Answers

Number line equality to -5< =< -1

Write an equation in slope-intercept form for the relationship in the table.

Answers

The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.

What is the Slope-intercept Form?

The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:

m = slope = change in y / change in xb = y-intercept.

Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5

Slope (m) = 1

Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):

y - 42 = 1(x - 37)

y - 42 = x - 37

y = x - 37 + 42

y = x + 5

Equation for the relationship in the table is: y = x + 5

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What does this add to 3/11 x 3 1/4

Answers

Answer:

0.

Step-by-step explanation:

Maya has savings of $40,000. She invests in a bond mutual fund that pays 5% interest each year. Ignoring compounding, what are Maya's total savings after 20 years?

Answers

Answer:50,000 x 0.04 x 20=40,000

The total saving after 20 years 50,000+40,000=90,000$

Which graph represents a circle whose equation is (x+3)² + (y-1)² = 4?

Answers

Answer:

A

Step-by-step explanation:

Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2

(x0, y0) is the centrer is short for radius

The given equation is: (x + 3)^2 + (y - 1)^2 = 4

=> (x - (-3))^2 + (y - 1)^2 = 2^2

Coordinates of the centre: (-3, 1)Radius: 2

Therefore, the answer is A.

The strip below is cut into 9 equal bars.
Shade 2/3 of this strip.

Answers

Answer:

Shade 6 bars.

Step-by-step explanation:

You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:

[tex]9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3} = \frac{18}{3} = 6[/tex]

You will shade 6 of the 9 bars given.

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Given that 5 cos (x+8.5)° - 1 = 0
0° ≤x≤ 90, calculate correct to the nearest degree, the value of x.​

Answers

Answer:

  x = 70

Step-by-step explanation:

To solve for x, use inverse operations to undo the operations performed on x.

__

  5cos(x +8.5)° -1 = 0 . . . . given

  5cos(x +8.5)° = 1 . . . . . . add 1

  cos(x +8.5)° = 1/5 . . . . . divide by 5

  x° +8.5° = arccos(1/5) . . . . take the inverse cosine

  x° = arccos(1/5) -8.5° ≈ 70° . . . . evaluate the expression

The value of x is 70.

If a 714-mile trip takes 17 hours, the average speed is?

Answers

Answer:

42 mph

Step-by-step explanation:

brainliest/crown please :)

Graph the function y = x+2+5. Which point lies on the graph?

A-
(-2,5)

B-
(3,6)

C-
(7,6)

D-
(0,5)

Answers

Answer:

A

Step-by-step explanation:

Given equation :

y = x + 2 + 5y = x + 7

Evaluating the options

A (-2, 5)

5 = -2 + 75 = 5Correct!

GIVING BRAINLIEST
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
A. 0
B. 1
C. 2
D. 4
E. infinitely many

Answers

Answer:

Hey!

Your Answer Would Be Option E!

Infinitely Many.

This Is Because:

Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!

Step-by-step explanation:

The art club had an election to select a president.


​75\%75% of the 6060 members of the club voted in the election.

​How many members voted?

Answers

Answer:

45

Step-by-step explanation:

Subtract 60 from 75% and multiply the answer.

Calculate no.between 2 and 2.5

Answers

Answer:

√5 is the answer

Which table of values was used to create the scatterplot below? A graph titled Fundraiser Amounts has Day of Fund Drive on the x-axis and Money Raised (dollars) on the y-axis. Points are at (1, 200), (2, 300), (3, 200), (4, 400), (5, 300). A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 400, 200, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 300, 400. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 200, 300, 400, 300.

Answers

The table of values used to create the scatterplot below is:

Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300

Which table of values was used to create the scatterplot below?

The graphs x axis represents the Day of Fund Drive and  y axis represents Money Raised.

The ordered pairs from the plot are:

(1, 200), (2, 300), (3, 200), (4, 400), (5, 300)

Therefore, the table of values used to create the scatterplot below will be:

Day of Fund Drive      Money raised (dollars)

1                                           200

2                                          300

3                                          200

4                                          400

5                                          300

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Answer:

C.

Step-by-step explanation:

Edge 2023

Ethan bought some bags of marbles. The number of bags he bought was 11 less than the number of marbles in each bag. Ethan bought 26 marbles in all. How many marbles were in each bag?

Answers

Answer:

13?

Step-by-step explanation:

idrk best guess. 26 divided by 2= 13.   11-13 + 2

Does this app offer tutoring for college algebra?

Answers

u could try the tutoring section of this app. it’s called brainly tutor

13 - 6(2 − 6)² +8 evaluate

Answers

Step-by-step explanation:

______________________

13 - 6 ( 2 - 6 )² + 8

= Solution

= 13 - 6 (- 4 ) ² + 8

Now...remove the negative number...because negative number raise to even powers are positive...

= 13 - 6 × 4² + 8

= 13 - 96 + 8

= 13 + 8 - 96

= 21 - 96

= - 75

Hence the answer is - 75....

[tex]..[/tex]

______________________

Select the correct answer.
Solve for x.
x-2x-24 = 0

Answers

Answer:

x = -24

Please mark brainliest :)

Answer

-24

Step-by-step explanation:

Ibehdhdsxydithdkydlgsits

Answers

160

Step-by-step explanation:

Due to the kite being a 2D Object you can just add the numbers of each side up to get to the answer 160. If I'm wrong then I'm sorry I hope this helped though!

ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)

Answers

Answer:

267.95 cubic meters

Explanation:

volume of sphere: (4/3)π(radius)³

Here given:

radius: 4 meter

Volume:

(4/3)π(radius)³

insert values

(4/3)(3.14)(4)³

simplify

(4/3)(3.14)(64)

final answer

267.95 cm³

Answer:

V = 267.95

Step-by-step explanation:

The equation to find the volume of a sphere is:

V = [tex]\frac{4}{3} \pi r^{3}[/tex]

r = radius

In the diagram of the question it shows that the radius is 4 m. Plug this into the equation:

[tex]V=\frac{4}{3} (3.14) (4)^{3}[/tex]

Use a calculator to find the answer and then round to two decimal points:

V = 267.95

Hope this helps!!

If you have 2 cups and need 2tbsp how many servings can I get from the 2 cups

Answers

Answer:

16 servings

Step-by-step explanation:

there are 16 tablespoons in one cup so 16+16 is 32. then you divide that by 2 or you get 16 servings

Factor: 2n2 - 11n + 15

Answers

Answer:

(2n-1)(n-5)

Step-by-step explanation:

2n2-11n+5

2n2-10n-1n+5

(factorize)

2n(n-5)-1(n-5)

(2n-1)(n-5)

how many circular tiles are needed for pattern 20

Answers

What pattern are you talk about

Please help u need help ASAP

Answers

Answer:

I Think its fed

Step-by-step explanation:

help will mark Brainliest​

Answers

Answer:

Your answer is B.

Step-by-step explanation:

n>0 means n is greater than 0.

It is an open circle that is pointing to the right for positive values greater than 0.

Answer:Try B.

Step-by-step explanation:

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