what is the explicit formula

What Is The Explicit Formula

Answers

Answer 1

Answer:

a(n) = 13 - 2n

Step-by-step explanation:

The explicit formula variables are a(n) = a(1) + d (n - 1). The a(1) is your number you started out with, and the d is the common difference. From the recursive formula example, you see that your first number is 11 and your difference is -2.

1. Plug the numbers into the equation : a(n) = 11 - 2 (n - 1)

2. Distribute: a(n) = 11 - 2n + 2

3. Add like terms: a(n) = 13 - 2n

If you want to double check, you can plug 1 into n and see if you get 11. I did this, and I did so it should be correct. Hope this made sense! Have a great day :)


Related Questions

PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!

Answers

1) Power of a Product

2) Power Rule (or Power of a Power)

Answer:

-Number 1 is Power of a Power Property, I think

-Number 2 is Power of a Power Property

help me plsssssssssssss

Answers

9514 1404 393

Answer:

  (a) $2.857 million

  (b) vertical compression by 1/3; shift left by 6; shift up by 2

Step-by-step explanation:

(a) Find the year difference (2021-2010=11) and put that value where x is. Then do the arithmetic.

  g(11) = (∛(11+6))/3 +2 = (∛17)/3 +2 ≈ 2.57128/3 +2 ≈ 0.857 +2

  g(11) ≈ 2.857 . . . 2021 revenue in millions of dollars

__

(b) For parent function f(x), the transformation ...

  g(x) = a·f(x -h) +k

represents a vertical scaling by a factor of 'a', right shift by h units, and up shift by k units.

Comparing this form to the given g(x), we see ...

  a = 1/3 . . . vertical compression by a factor of 1/3

  h = -6 . . . .right shift 6 units

  k = 2 . . . . up shift 2 units

_____

Additional comment

The vertical scaling is called "compression" when the scale factor is less than 1, and "stretch" when the scale factor is greater than 1. Here, the scale factor of 1/3 means the graph is vertically compressed.

Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12

Answers

Y= 12(3)*
Growth factor is 3


A. Y
B. X
C. W
D. Z

Answers

The answer is C. W is the answer for your question
C is the answer! Good luck

HELP!
What is the missing term? What is the rule? 8 9/10, 7 7/10, 6 1/2 , _________

Answers

Answer:

5 3/10

Step-by-step explanation:

You subtract 1 1/5 from the number (n).

(In equation) x = n - 1 1/5

5 3/10

The rule is to subtract 1 2/10 each time

To figure this out, first look at the whole numbers

8, 7, 6, ___

You can see that your subtracting one to get to the next number.

Now look at the fractions.

9/10, 7/10, 1/2

To figure out the change you want all the fractions to have the same denominator.

1/2 = 5/10

9/10, 7/10, 5/10, ___

You can now also see that 2/10 is being subtracted each term.

Adding the two changes you get 1 + 2/10 = 1 2/10

Or D : X=9


Choose one answer pls

Answers

Answer:

[tex]x=\sqrt{41}[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]a^{2}+ b^{2}=c^{2}[/tex]

Answer:

Option B

Step-by-step explanation:

Pythagorean Theron is:

[tex]a^2+b^2=c^2\\\\\text{a and b - legs}\\\text{c - hypotenuse}[/tex]

We would be solving for 'c', or the hypotenuse.

[tex]4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\\boxed{\sqrt{41}, -\sqrt{41} =c}[/tex]

The correct answer should be option B.

Hope this helps.

Complete the Square
x2 + 10x +

Answers

Answer:

( + 10)

Hope this helps you out

A turtle and a snail are 300 feet apart when they start moving towards each other. The
turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1
foot per minute.
How fast are they approaching each other?

Answers

Answer:

6 feet per minute

Step-by-step explanation:

Answer:

6 feet per minute.

Step-by-step explanation:

5ft + 1ft = 6ft per minute.

hello, i need help.
find m∠bae

Answers

Answer:

125

Step-by-step explanation:

180-55=125

Does anyone know the answer? I would really appreciate it!!

Answers

Answer:

B

Step-by-step explanation:

The answer is B hope that help

Please help me!!!
solve for f : 5/6 f =5
1. 5
2. 4.2
3. 7.3
4. 6

Answers

Answer:

6

Step-by-step explanation:

Identify the expression equivalent to 16x + 24y

1. 2 (8x + 24y)
2. 8 (8x + 3y)
3. 8 (2x + 3y)
4. 4 (2x + 6y)

Answers

Correct answer is 3: 8 (2x + 3y)
3. 8(2x + 3y)

I hope it helps you out

write an equation in slope-intercept for the line that has a slope of 1/2 and goes through the point (4, 7)

Answers

Answer:

y = 1/2x + 5

Step-by-step explanation:

The formula for an equation is y = mx + b

m is the slope. It is given

y = 1/2x + b

b is the y-intercept

In this case, we must substitute to find the y-intercept

We are given coordinate pair (4,7)

Plug our pair in and we get => 7 = 1/2(4) + b

=> 7 = 2 + b

easily, we find b = 5

We get our equation: y = 1/2x + 5

Cheers!

A circle has a radius of 50 cm. Which of these is closest to its area?

Answers

Answer:

Approximately 7853.98

Step-by-step explanation:

The formula to finding the area of a circle based on radius is [tex]\pi r^2\\[/tex], where r is radius. Hope this helped :D

can someone pls help i’ll mark you brainliest pls pls pls it’s due in 10 min

Answers

Answer:

Step-by-step explanation:

1) r = 5mm; d = 10 mm

2) r = 6 cm; d = 12 cm

3) r = 9 m; d = 18 m

4) r = 8 km; d = 16 km

5) r = 11 m; d = 22 m

6) r = 15 mm; d = 30 mm

7) r = 13 km; d = 26 km

8) r = 7 cm; 14 cm

A rancher is building a new square corral for his horses. The total perimeter of the corral is 520m. What will the total area of the corral be?

Answers

Answer:

4*s= 520

s= 130

area=s*s=130*130=16900m^2

Step-by-step explanation:

Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?

Answers

Answer:

7 cds

Step-by-step explanation:

8.49*x +5=70 => 8.49*x=65 => x= 65/8.49 => x= 7 approximately

hi can someone please help

Answers

Answer:32

Step-by-step explanation:

what is the correct equation of the line shown at the right?

Answers

Answer:

F

Step-by-step explanation:

rise/run is 3/2 which is the number before the x and the y intercept (the last number in the equation) is 3

What are the solutions to the system of the equations graphed below?

Answers

Answer:

D

Step-by-step explanation:

Where the graphs intersect each other is where the solution is. The graphs intersect each other at the points (0,-8) and (4,8). Hope this helps!

A (2,0) and (0,-8) because it’s shown in the picture that’s the red line indicates the place it needs to be in

I'll give brainliest to whoever answers correctly.

Answers

Answer:

29

Step-by-step explanation: pls dont get mad if it is wrong

<3<3<3<3<3<3

Answer:

29

<3<3<3<3<3<3

-18=d+4
me and my friends are stuck

Answers

the answer is x = -22
d=-22 i hope i helped you in some type of way lol

Please help i dont know the answer and this is due today

Q Nine divided by the product of a number and Five

Q2 The product of a sum and diffrence of x and y​

Answers

Step-by-step explanation:

Q Nine divided by the product of a number and Five

Let the number = x

product of a number and Five = x * 5 = 5x

The expression is given as;

[tex]\frac{9}{5x}[/tex]

Q2 The product of a sum and difference of x and y​

Sum of x and y = x + y

Difference of x and y = x - y

The expression is given as;

(x + y) * ( x -y)

x^2 + xy - xy - y^2

x^2   - y^2

whats 3x3+4 use pemdas ?

Answers

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

First, we do 3x3 which is 9.

Then, we do 9+4=13

Hope this helps =]

Show that the area of triangle DEF is 11 cm2.​

Answers

9514 1404 393

Explanation:

The length CD can be found from the Pythagorean theorem.

  CF² + CD² = DF²

  2² + CD² = (2√10)²

  CD² = 40 -4 = 36

  CD = √36 = 6

From here, any of several methods could be used to find the area of ΔDEF.

One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.

  area ABCD = bh = (6 cm)(5 cm) = 30 cm²

  area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²

  area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²

  area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²

Then the area of interest is ...

  area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF

  area ΔDEF = (30 -10 -3 -6) cm²

  area ΔDEF = 11 cm²

__

Alternate solution

If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...

  D(0, 5), E(4, 0), F(6, 3)

The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.

  [tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]

_____

Additional comment

The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.

simplify to the lowest terms

Answers

Answer:

1/2

Step-by-step explanation:

divide the numerator & denominator by 4

Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?

Answers

Answer:

7 cars

Step-by-step explanation:

The computation of the number of cars to be filled is shown below:

A car that is 90% full and the total people is 20 so 90% would be

= (.90)(20)

= 18

A car that is 65% full and the total people is 20 so 65% would be

= (.65)(20)

= 13

Now

Total number of people = (5)(18) + (3)(13).

= 129

Now the number of cars to be filled is

= 129 ÷ 20

= 6.45

= 7 cars

Factor completely 64x2

Answers

Step-by-step explanation:

not factorable....rational numbers

What integer is closet to n​

Answers

Answer:

Rounding to the Nearest Integer

The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).

I purchased a new book that was on sale for 40% off. I saved $24.00 because of the sale. What was the original price? (6 points)
Pls Answer I need it for my test thats due Monday

Answers

Answer:

60

Step-by-step explanation:

24 dividend by 4 equals 6.

this means 10% of the original price is 6.

6 times 10 equals 60

hope this helps!!!

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