Find the nth term of the following sequences. Also find the 9th and 6th terms .​

Find The Nth Term Of The Following Sequences. Also Find The 9th And 6th Terms .

Answers

Answer 1

Answer: an=2(-2)ⁿ⁻¹    a₉=512     a₆=-64

Step-by-step explanation:

Since we have an alternating minus sign in this sequence, therefore the first multiplier of the following sequence will be (-1)ⁿ.

And since the first term of the following sequence is positive, the first multiplier of the following sequence is (-1)ⁿ⁻¹.

The second multiplier of the following sequence is 2ⁿ because the sequence has the form: 2, 4, 8, 16, ..., 2ⁿ .

\(Thus,\ a_n=(-1)^{n-1}(2^n)\\\\ a_n=2(-2)^{n-1}\ \ \ (1)\)

Find the 9th and 6th terms of the sequence by formula (1):

a₉=2(-2)⁹⁻¹

а₉=2(-2)⁸

a₉=2(256)

a₉=512

a₆=2(-2)⁶⁻¹

а₆=2(-2)⁵

a₆=2(-32)

a₆=-64


Related Questions

heyy! i’ll give brainliest please help thanks

heyy! ill give brainliest please help thanks

Answers

Answer:

I think its A

hope this helps

have a good day :)

Step-by-step explanation:

The answer to this is A

where n=6 equals, 6 is a solution.

Answers

n + 7 = 13

solve for n

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Billy’s Crystal Stores Inc. has assets of $5,960,000 and turns over its assets 1.9 times per year. Return on assets is 8 percent. What is the firm’s profit margin (return on sales)?

Answers

The firm's profit margin is 4.17%.

To calculate the firm's profit margin, also known as the return on sales, you need to divide the firm's net income by its total sales. In this case, you are given the firm's return on assets (ROA), which is equal to the firm's net income divided by its total assets.

You can use this information to set up the following equation:

ROA = \(\frac{net \ income}{total \ assets}\)

Plugging in the given values, you get:

8%= \(\frac{net \ income} {5,960,000}\)

Solving for net income, you find that the firm's net income is

8% × 5,960,000 = 476,800.

Now that you know the firm's net income, you can calculate its profit margin by dividing its net income by its total sales. To do this, you need to know the firm's total sales.

You can use the firm's asset turnover ratio, which is equal to its total sales divided by its total assets, to calculate its total sales. In this case, the asset turnover ratio is 1.9, so you can set up the following equation:

asset turnover ratio = \(\frac{total \ sales}{total \ assets}\)

Plugging in the given values, you get:

\(1.9 =\frac {total \ sales }{5,960,000}\)

Solving for total sales, you find that the firm's total sales are

1.9 × 5,960,000 = 11,444,000.

Now that you know the firm's total sales, you can calculate its profit margin by dividing its net income by its total sales:

\(profit \ margin = \frac{net \ income}{total \ sales}\)

\(= \frac{476,800}{11,444,000}= 4.17%\)

Therefore, the firm's profit margin is 4.17%.

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What is the domain of the relation below? A. {-1,0, 1, 3} B. {-2,0, 1, 3) C. -2,-1,0, 1, 2, 3} D. {0, 1, 2, 3)​

Answers

Answer:

C

Step-by-step explanation:

Help Meeee Please. I don’t understand

Help Meeee Please. I dont understand

Answers

i'm pretty sure it's A if not then definitely B


A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

Answers

The value of the discriminant when a quadratic equation has exactly one real number solution is zero.

If a quadratic equation has exactly one real number solution, it means that the discriminant of the quadratic equation is equal to zero. The discriminant is a value calculated from the coefficients of the quadratic equation and determines the nature of its solutions.

For a quadratic equation of the form ax^2 + bx + c = 0, the discriminant (D) is given by the formula:

D = b^2 - 4ac

When a quadratic equation has exactly one real number solution, it means that the discriminant is equal to zero:

D = 0

Setting the discriminant to zero, we can solve for the value of the discriminant:

b^2 - 4ac = 0

Therefore, the value of the discriminant when a quadratic equation has exactly one real number solution is zero.

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Omgg pls help this!!!! Tyyy

Omgg pls help this!!!! Tyyy

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First: let’s get Ben’s current age:
16+4=20

Next let’s get Dunn’s current age:
4/7=20/x
Cross multiply and divide:
x=35

Let’s now add 10 to both ages:
Ben 20+10=30
Dunn 35+10=45

Lastly, let’s find the lowest common multiple of 30 and 45 to determine the ratio:
30:45
Both 30 and 45 can be divided by 15.
30/15=2
45/15=3

Answer:
2:3

1 point
Which of the following equations represents this line?

1 pointWhich of the following equations represents this line?

Answers

The equation of line is represented by the expression; y = 2x - 3.

What is meant by the term slope intercept form?The slope-intercept form is one of four methods for determining the equation of the any straight line. Straight lines are typically represented by the equation y = mx+c. This standard straight line equation states that the x and y variables have such a maximum power of unity.

For the given question;

The two point lying on the line, taken from graph is-

(x1, y1) = (1.5, 0)

(x2, y2) = (0, -3)

Slope = m = (y2 - y1) /(x2 - x1)

m = (-3 - 0)/(0 - 1.5)

m = 2

The intercept of the line is -3, as the graph of the line passing y axis at -3.

Thus, the equation becomes.

y  = mx + c

m = 2 and c = -3

y = 2x - 3

Thus, the equation of line is represented by the expression; y = 2x - 3.

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A diver descended 42.48 feet in 11.8 minutes. What was the diver's average change in elevation per
minute?

Answers

Answer:

3.6ft per min

Step-by-step explanation:

how much time do students spend on the internet? we collect data from the 32 members of our ap statistics class and calculate the mean amount of time that each student spent on the internet yesterday.

Answers

It would be appropriate to construct a t-interval to estimate the population mean.

To determine whether it is appropriate to construct a t interval to estimate the population means, we need to consider if the sample size is large enough and if the population standard deviation is known.

If the sample size is less than 30 and the population standard deviation is not known, then it would be appropriate to use a t-interval.In this case, the sample size is 32, which is large enough to assume that the sample mean is an accurate representation of the population mean.

However, the population standard deviation is not known, so it would be appropriate to use a t interval. The t interval can be calculated using the sample mean, sample standard deviation, and degrees of freedom, which is the sample size minus 1.

The t interval will provide a range of values that we can be confident the population mean falls within, given the sample mean and variability.

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How much time do students spend on the internet? We collect data from the 32 members of our AP Statistics class and calculate the mean amount of time that each student spent on the Internet yesterday. Discuss whether it would be appropriate to construct a t interval to estimate the population mean.

19 - 6(-k + 4) Simplify to create an equivalent expression

Answers

The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

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6-3. Review what you know about graphs as you complete parts (a) through (d) below
a. Find the equation of the line graphed at right.
b. What are its x- and y-intercepts?
d. On the same set of axes, graph a line that is parallel to the line graphed at right and
that goes through the origin (0, 0).
Find the equation of this new line.

6-3. Review what you know about graphs as you complete parts (a) through (d) belowa. Find the equation

Answers

The equation of the graph is y = -2x + 1

The intercepts are y = 1 and x = -1/2The parallel equation is y = -1/2x

The equation of the graph

From the question, we have the following points on the line

(0, 1) and (1, -1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 1

Using the points, we have

m + 1 = -1

m = -2

So, the equation is y = -2x + 1

The intercepts

In (a), we have

c = 1

This is the y-intercept

For the x intercept, we have

-2x + 1 = 0

This gives

x = 1/2

Plot of a parallel line

Parallel lines have equal slopes

This means that the slope must be -1/2

Because the line must go through (0, 0), the equation is y = -1/2x

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Drag the tiles to the correct boxes to complete the pairs.
Simplify the inequalities and match them with the graphs that represent them.

Drag the tiles to the correct boxes to complete the pairs.Simplify the inequalities and match them with

Answers

Answer:

1) 1, 2) 3, 3) 2, 4) 4

Step-by-step explanation:

Solve the inequalities and match with the graphs

1) 7x < 42 ⇒ x < 42/7 ⇒ x < 6 ⇔ matching the graph 12) 3x > 15 ⇒ x > 15/3 ⇒ x > 5 ⇔ matching the graph 33) x + 1 < 8 ⇒ x < 8 - 1 ⇒ x < 7 ⇔ matching the graph 24) 2x > 12 ⇒ x > 12/2 ⇒ x > 6 ⇔ matching the graph 4

Answer:

7x < 42

x + 1 < 8

3x > 15

2x > 12

Step-by-step explanation:

> means "more than" (shading to the right)

< means "less than" (shading to the left)

Solve the given inequalities

    7x < 42  

⇒ 7x ÷ 7 < 42 ÷ 7

⇒  x < 6

An open circle on 6, shading to the left

   3x > 15  

⇒ 3x ÷ 3 > 15 ÷ 3

⇒ x > 5

An open circle on 5, shading to the right

   x + 1 < 8  

⇒ x + 1 - 1 < 8 - 1

⇒ x < 7

An open circle on 7, shading to the left

   2x > 12  

⇒ 2x ÷ 2 > 12 ÷ 2

⇒ x > 6

An open circle on 6, shading to the right

Drag the tiles to the correct boxes to complete the pairs.Simplify the inequalities and match them with

Solve the system using linear combination. Show all work.
5x + 3y = 41
3х - 6y = 9

Answers

The answer is (7,2)
Solve the system using linear combination. Show all work.5x + 3y = 413 - 6y = 9

Re-write the statement 19 + 7 ÷ 2 × 6 + 1 by including two pairs of brackets
to make the total value equal to 2.

Answers

Answer:

(19 + 7) ÷ (2 × 6 + 1)

Step-by-step explanation:

26 ÷ (12 + 1)26 ÷ 132

Someone help please, thanks.

Someone help please, thanks.

Answers

i got d, then i went on a app to make sure it was right it's d for sure

Answer: x>16/3

Step-by-step explanation :0

A sack of bread flour weighs 50. lbs. and costs $9.75.
What is the cost per pound of flour?
What is the cost per ounce of flour?

Answers

The cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.

The cost per pound of flour and cost per ounce of flourWeight of a sack of bread flour = 50 lbsCost of a sack of bread flour = $9.75

The cost per pound of flour = Cost of a sack of bread flour / Weight of a sack of bread flour

= $9.75 / 50 lbs

= $0.195 per pound

Convert pound(lbs) to ounce:

1 pound = 16 ounces

50 pounds = 50 × 16

= 800 ounces

The cost per ounce of flour = Cost of a sack of bread flour / Weight of a sack of bread flour

= $9.75 / 800

= 0.0121875 per ounces

What is unit cost?

This is the cost to acquire a unit of a good or service for a specific quantity that is purchased.

Therefore, the cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.

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If the perimeter of a
square is 60 feet, what is
the area of the square?

Answers

Answer:

225 ft I believe  

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.

Identify a CSS3 2D transformation function that resizes an object by a factor of x horizontally.
a. scaleY(y)
b. rotate(angleY)
c. translateY(offY)
d. skewY(angleY)

Answers

The correct answer is not listed among the given options. None of the listed options is a CSS3 2D transformation function that resizes an object by a factor of x horizontally.

Here are brief explanations of the given options:

a. scaleY(y) - This function scales an object vertically by a factor of y.

b. rotate(angleY) - This function rotates an object around the y-axis by the specified angle.

c. translateY(offY) - This function translates an object vertically by the specified offset.

d. skewY(angleY) - This function skews an object along the y-axis by the specified angle.

To resize an object horizontally by a factor of x, you can use the scaleX(x) function. This function scales an object horizontally by a factor of x.

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Let \( y=f(x)=x^{2}+6 \) (a) Find the value of \( y \) when \( x \) is zero. \[ f(0)= \]

Answers

The value of $y$ when $x$ is zero is $f(0) = 0^2 + 6 = \boxed{6}$.

The function $f(x) = x^2 + 6$ is a quadratic function. When $x=0$, the output of the function is simply the constant term, which is 6. Therefore, $f(0) = 6$.

**The code to calculate the above:**

```python

def f(x):

 """Returns the value of the function f(x)."""

 return x ** 2 + 6

print(f(0))

```

This code will print the value of $f(0)$.

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The circumference would , 1 of 2. select choice . for example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. when the radius doubles to 6 feet, the circumference is about , 2 of 2. select choice feet.

Answers

The circumference of the circle with a radius of 6 feet would be approximately 37.7 feet.

The circumference of a circle is the distance around the outer edge of the circle. It is the perimeter of the circle, which is the total length of the boundary that encloses the area of the circle.

The formula for the circumference of a circle is

C = 2πr

Where C is the circumference, r is the radius, and π is approximately 3.14.

If a circle has a radius of 3 feet, the circumference would be

C = 2πr

C = 2π(3)

C ≈ 18.85 feet

When the radius doubles to 6 feet, the circumference would be

C = 2πr

C = 2π(6)

C ≈ 37.7 feet

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Answer:

double, and 36

Step-by-step explanation:

Mc graw hill

Q...

Find the length of x. Assume that lines which appear to be tangent to the circle are tangent.

A) 32

B) 35

C)38

D)42

Find the length of x. Assume that lines which appear to be tangent to the circle are tangent.A) 32B)

Answers

Correct me if I’m wrong but I think it’s B


The sine and cosine of an acute angle are equal. What is the value of angle?
1)30°
2)45°
3)60°
4)Sine and Cosine will never be equal.

Answers

The sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

To what angles both the sine and the cosine have the same value?

Acute angles are angles whose measures are greater than 0° and less than 90°. According to the statement, we must find at least a value such that sin θ = cos θ:

sin θ = cos θ                     Given

sin θ / cos θ = 1                 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

tan θ = 1                            Definition of tangent

θ = π / 4                            Inverse trigonometric function / Result

In a nutshell, the sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

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What do you think the narrator means at the end of the story when she says that she too has planted marigolds?

Answers

The narrator suggests that she now lives her life by striving to find optimism in even the worst circumstances when she adds, "I too have planted marigolds," at the conclusion of the story.

Because the narrator characterized the marigolds in the story as "Dazzling strips of bright petals bunch together in gigantic mounds warm and passionate in sun golden," the narrator's description of and response to seeing the marigolds is rather favorable.

The ability to comprehend and appreciate others as fully human beings serves as the story's central subject and marks the start of adulthood. Lizabeth felt ashamed when she realized she had wronged a genuine human being instead of a "witch" when she vented her anger at the marigolds and turned to look at Miss Lottie.

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what is the volume of the cone?​

what is the volume of the cone?

Answers

Answer:

The volume of the cone is 75.36 cm³

Step-by-step explanation:

The rule of the volume of a cone is V = \(\frac{1}{3}\) π r² h, where

r is the length of the radius of its baseh is the height of the cone

In the given figure

∵ The length of the radius of the cone is 3 cm

r = 3 cm

∵ The length of the height of the cone is 8 cm

h = 8 cm

→ Substitute the values of r and h in the rule of the volume above

π ≅ 3.14

∵ V = \(\frac{1}{3}\) (3.14)(3)²(8)

∴ V = 75.36 cm³

The volume of the cone is 75.36 cm³

Math?? anybody somebody please help




100 points worth

Math?? anybody somebody please help100 points worth

Answers

Answer:

c

Step-by-step explanation:

2^4=16

(16-8)/16=8/16=1/2

2^4-8/16 = 1/2 so c

36 and 30 percentage of 10​

Answers

Answer: 120

explanation: We already have our first value 36 and the second value 30. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 136 = 30% × Y

STEP 236 =

30

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3Y = 36 ×

100

30

STEP 4Y = 36 × 100 ÷ 30

STEP 5Y = 120

Finally, we have found the value of Y which is 120 and that is our answer.

You can easily calculate 36 is 30 percent of what number by using any regular calculator, simply enter 36 × 100 ÷ 30 and you will get your answer which is 120

What is the vaule of tan-240 degrees?

Answers

The answer is 1.732

Which expression is equivalent to (8x+6)+(10x−30)?

18(x−24)
9(2x−24)n

18x−3618

6(3x−4)

Answers

18(x-24) is the expression that’s equivalent to (8x+6)+(10x-30)

PLEASE ANSWER QUICKLY

PLEASE ANSWER QUICKLY

Answers

Answer:

x = 90 and 20 x 4 = 6x9 = k2 over -2

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