Write a recursive formula for the explicit formula

A(n) = -1 + (n-1)(-2)

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term

Given the explicit formula

A(n) = - 1 + (n - 1)(- 2)

This is an arithmetic sequence with explicit formula

A(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

For the given explicit formula, then

a₁ = - 1 and d = - 2

The recursive formula is then

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1


Related Questions

A cupcake recipe needs 4/5 cups of batter per serving.you have 5 cups.How many servings can be made

Answers

Answer:

You can make 6 servings

Step-by-step explanation:

For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.

Answers

Answer:

The area of the triangle is equal to half of the base times the height: A = b x h x 1/2 You could find the area of a triangle with base length of 4 inches and height of 3 inches as follows: A = 4 inches x 3 inches x 1/2 = 6 square inches

Step-by-step explanation:

The corresponding height is the length of a perpendicular segment from the base to the vertex opposite of it. The opposite vertex is the vertex that is not an endpoint of the base.

can anyone help. how to solve this plz. 58power4 -388​

Answers

Answer:

The answer is 11,316,108

Step-by-step explanation:

[tex]58^{4} - 388[/tex]

(58)(58)(58)(58) - 388

11,316,496 - 388

= 11,316,108

PLS HELP!!
IM GIVING BRAINLIEST!!!
No stealing points, no links, only correct answers!!!!!

Answers

The answer is D

I know because I compared the graph of f(x) to the graph of the equation that answer D gave. What I got is shown in the image. (Blue line is g(x) and red line is f(x))

HELP PLZ You measured a floor tile as 12 inches by 10 inches. It is actually 10 inches by 10 inches. What is the percent error of the area?

Answers

Area of measured tile: 12 x 10 = 120 square inches

Area of actual tile = 10 x 10 = 100 square inches:

Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%

Answer: 20%

A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.​

Answers

Time can't be negative so we need to get absolute value of x .

Write an equation in Slope intercept form for the line that passes through the given point and has the given slope (-2,-3) , (4,5)

Answers

Answer:

[tex]y=\frac{4}{3}x-.333[/tex]

Step-by-step explanation:

Using the Slope Formula:[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex][tex]\frac{5-(-3)}{4-(-2)}=\frac{5+3}{4+2}=\frac{8}{6}=simplify=\frac{4}{3}[/tex]

Adnan drives 16.5 miles in 10 minutes. He passes a sign which gives the speed limit as 70 mph. By how much, in mph, did Adnan's average speed exceed the speed limit?​

Answers

Answer:  29 mph

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

Explanation:

10 minutes = 10/60 = 1/6 of an hour

Divide the distance over the time duration to find his speed

speed = distance/time

speed = (16.5 miles)/( 1/6 hr )

speed = 16.5*(6/1) mph

speed = 99 mph

Then subtract off the speed limit posted by the sign.

99 - 70 = 29 mph

Adnan is 29 mph over the speed limit.

Answer: 29 miles/hour (mph)

Step-by-step explanation:

10 minutes is 0.16667 hour (hr).

16.5 miles/0.16667 hr = 99 mph

99 - 70 = 29 mph

No links. Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in one year

Answers

Answer:

$1236

Step-by-step explanation:

3%=1.03 as a decimal multiplier

1200 x 1.03 = $1236

Use the following function rule to find f(2).

f(x) = 2^x

f(2) =

Answers

Answer:

4

Step-by-step explanation:

4

PLEASE MARK ME AS BRAINLIST

I don't understand what I am supposed to do after I combine terms

Answers

I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...

Answer:

x = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]

Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions

4 - 24x + 21 = - 54x + 5 , that is

25 - 24x = - 54x + 5 ( add 54x to both sides )

25 + 30x = 5 ( subtract 25 from both sides )

30x = - 20 ( divide both sides by 30 )

x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]

Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?​

Answers

He spent on transport = 20%

spent on breakfast = 60/-

spent on lunch = 15%

remaining amount = 340

rs he spent on transport = 20/100 × 340 =68

rs he spent on lunch = 15/100 × 340 = 51

Therefore, total of his pocket money = 68 + 51 + 60 + 340

= ₹519

What number is 73% of 14.6

Answers

Answer:

10.658

hope it helps

Answer:

10.658

Step-by-step explanation:

14.6 = 100%

? = 73%

73% ÷ 100% x 14.6

= 10.658

10.658 = 73%

At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?

Answers

Answer:

27 degrees

Step-by-step explanation:

it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did)  18-27=-9 and thats what the tempurture went down to in 8 hours

What is the symbol for a square root

Answers

Answer:

The symbol for a square root is [tex]\sqrt{}[/tex].

:)

Answer:

Step-by-step explanation:

Math=Explanitory

what’s y = x +-2 -76

Answers

Answer:

y = x - 78

Step-by-step explanation:

y = x +-2 -76

y = x -78

fracciones equivalentes a 2/7

Answers

4/14 y 14/49 son does fracciones

What is the range of f(x)?

Answers

Answer:

{ f(x)| -∞ < f(x) ≤ 4 }

Step-by-step explanation:

The range of a function is the interval of every y-value represented on the function.  Since the highest this function goes on the y-axis is to y=4, we know that the upper limit of the range is 4, which is inclusive because the function actually reaches this value.  The function also appears to go down indefinitely on the right side, so the lower limit is -∞, which is non-inclusive because we will never reach that value.

The range is -∞ < f(x) ≤ 4

5=r÷¼

How do I do this? This makes no sense to me​

Answers

Answer: 5=rl

Step-by-step explanation:

Answer:

U can download apps to help u hope you find your answer

Help pls ?? I just need this one question ):

Answers

Answer:

9 should be the greatest common factor. (I think) because 3b² =9b

12b⁴=48b

Answer:

3*(4b^4-b^2)

Step-by-step explanation:

you are looking for the greatest number who can be divided by the number(3) and the other number(12) , the greates common factor here is 3

and then take out the 3

so 3*(4b^4-b^2)

Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)​

Answers

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

simpifly (4^7/5^2)^3

Answers

The answer is C, I just had that exact question. Hope this helps!

Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16 gallon full tank of gas? The trail length is 15 5/6

Answers

Answer:

10

Step-by-step explanation:

3n + 75 = 50 + 2n what does the n equalin the equation

Answers

Answer:

n=  -25

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25

−7a − 12q + 6a + 13q + 4a − 7a

Answers

Answer:

-4a + q

Step-by-step explanation:

Group the a-values together and the q-values together and simplify:

-7a + 6a + 4a - 7a - 12q + 13 q

= -4a + q

Please help ME for brainliest.

Answers

Answer:

-1.2y + -4.2y = -3.78

The value of y is directly proportional to the value of x.
If y = 12 when x = 15, what is the value of x when y = 40?
A.
12
B. 32
C.43
D.
50

Answers

Answer:

D

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 12 when x = 15

12 = 15k ( divide both sides by 15 )

0.8 = k

y = 0.8x ← equation of proportion

When y = 40 , then

40 = 0.8x ( divide both sides by 0.8 )

50 = x → D

4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

y = −3x^2 − 29x + 30

A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30

B. linear function; linear term: −29x; constant term: 30

C. linear function; linear term: −26x; constant term: −24

D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24

Answers

Answer:

A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30

Step-by-step explanation:

this is a quadratic function

quadratic term is -3x^2 , linear = -29x and constant = + 30.

Answer:

Quadratic term = (-3x²)

Linear term = (-29x)

Constant term = 30

Step-by-step explanation:

We have to classify the function as linear or quadratic.

Linear function ⇒ Is a function in which highest degree of variable is one.

Quadratic function ⇒ Is a function in which highest degree term or variable is 2.

Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.

So the given function is quadratic.

In this function Quadratic term = (-3x²)

                        Linear term = (-29x)

                        Constant term = 30

help plzz

Find the length of X​

Answers

Answer:

the answer is x=8 that is the answer

Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1

Answers

Answer:

y=1/2x=6 - linear, written as y=mx+b.

y=(x-5)^2 - nonlinear, x has an exponent greater than 1

y=2^x+8 - nonlinear, x is an exponent

y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)

y=4x^3-1 - nonlinear, x has an exponent greater than 1

Step-by-step explanation:

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