Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .

Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .
Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .
Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .
Identify The Recursive Formula For The Sequence 3, 9, 27, 81, . . . .

Answers

Answer 1

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]

Answer 2

Option A is correct -

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]

We have a sequence : –3, 9, –27, 81, . . . .

We have to find the recursive formula for this sequence.

What is the formula to find the recursive of a Geometric sequence?

The formula to find the recursive of geometric sequence is -

[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]

We have the following sequence -

–3, 9, –27, 81, . . . .

First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -

[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]

Hence, it is a geometric sequence with r = -3.

Substituting the value of r in the formula of recursive, we get -

[tex]a_{n} = -3a_{n-1}[/tex]    and      [tex]a(1)=-3[/tex]

Hence, Option A is correct.

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Related Questions

I need help and I can’t find any sadly. Help!!

Answers

1 = Given

2 = Addition Property of Equality

3 = Division Property of Equality

A line has slope 56 and y–intercept −3.

Which answer is the equation of the line?




y=56x+3

y=−3x+56

y=56x−3

y=3x+56

Answers

Answer:

c

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=56

b=-3

y=56x-3

If the measure of central angle is 57 degrees, what is the measure of its intercepted arc? (just write the number, no degrees)

Answers

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

The image attached below shows the relationship between the measure of the central angle and its intercepted arc. Measure of central angle = its intercepted arc.

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

Learn more about central angles on:

https://brainly.com/question/2548029

I need help with this to

Answers

Answer:

-7 , 9

1, -3

5, -9

Step-by-step explanation:

Answer:

The answer is

-7 , 9, 1, -3, 5, -9

Hope this helps;)


Look at picture this is so hard pls help

Answers

Answer:

D) 8

Step-by-step explanation:

What the problem is asking you to do is multiply the two expressions and substitute x=3 into the product.

[tex]f(x)=2^x[/tex]

[tex]g(x)=2x-5[/tex]

[tex](f*g)(x)=f(x)g(x)=(2^x)(2x-5)[/tex]

[tex](f*g)(3)=f(3)g(3)=(2^3)(2(3)-5)=(8)(6-5)=(8)(1)=8[/tex]

Therefore, the correct answer is D

Choose whether the following graph represents a linear function or a nonlinear function.

Answers

Answer:

It is a nonlinear function. The points do not form a straight line.

Step-by-step explanation:

slope = 1/2 goes through (2,6)

Answers

I’m not sure what the question is but I’m just gonna assume that you need the equation: y=1/2x+5

giving brainly, show work! teacher said this was wrong, specifically the sheldon calculations part, so what's the correct answer?​

Answers

Step-by-step explanation:

Sheldon's brother shoveled 2/3 of the driveway

Remaining portion = 1 - ⅔

= (3-2)/3

= 1/3

Sheldon shoveled 3/4 of what was left= ¾ × ⅓

= ¼

Sheldon shoveled ¼ or 0.25 of the driveway

Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½

= 2/5

Ahmed shoveled 2/5 or 0.4 of the driveway

0.4 > 0.25

therefore, Ahmed will have the larger area to shovel

Answer:

Ahmed shoveled more

Step-by-step explanation:

you need to do 3/4 - 2/3 which is 1/12 so the you do 1/12 x 3/4 = 3/48

compare with 4/15 and 4/15 is higher so that what you got wrong

Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.

Answers

Answer:

Enter a problem...

Precalculus Examples

Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0

16

x

2

+

16

y

2

16

x

+

24

y

3

=

0

Add

3

to both sides of the equation.

16

x

2

+

16

y

2

16

x

+

24

y

=

3

Divide both sides of the equation by

16

.

x

2

+

y

2

x

+

3

y

2

=

3

16

Complete the square for

x

2

x

.

Tap for more steps...

(

x

1

2

)

2

1

4

Substitute

(

x

1

2

)

2

1

4

for

x

2

x

in the equation

x

2

+

y

2

x

+

3

y

2

=

3

16

.

(

x

1

2

)

2

1

4

+

y

2

+

3

y

2

=

3

16

Move

1

4

to the right side of the equation by adding

1

4

to both sides.

(

x

1

2

)

2

+

y

2

+

3

y

2

=

3

16

+

1

4

Complete the square for

y

2

+

3

y

2

.

Tap for more steps...

(

y

+

3

4

)

2

9

16

Substitute

(

y

+

3

4

)

2

9

16

for

y

2

+

3

y

2

in the equation

x

2

+

y

2

x

+

3

y

2

=

3

16

.

(

x

1

2

)

2

+

(

y

+

3

4

)

2

9

16

=

3

16

+

1

4

Move

9

16

to the right side of the equation by adding

9

16

to both sides.

(

x

1

2

)

2

+

(

y

+

3

4

)

2

=

3

16

+

1

4

+

9

16

Simplify

3

16

+

1

4

+

9

16

.

Tap for more steps...

(

x

1

2

)

2

+

(

y

+

3

4

)

2

=

1

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

h

)

2

+

(

y

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

1

h

=

1

2

k

=

3

4

The center of the circle is found at

(

h

,

k

)

.

Center:

(

1

2

,

3

4

)

These values represent the important values for graphing and analyzing a circle.

Center:

(

1

2

,

3

4

)

Radius:

1

image of graph

PLS HELP ME ASAP
NO LINKS

Answers

Answer:a

Step-by-step explanation:

Is the graph increasing, decreasing, or constant?
O A. Decreasing
O B. Increasing
O C. Constant

Answers

Answer:

Increasing

Step-by-step explanation:

As we go further on the x-axis, we can see the Y value going up, thereforth it is increasing

Please help me..........

Answers

Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

HELPPP EASY MATH IM IN 5 GRADE

Answers

I’ll help comment the questions and I’ll answer

Answer:

What's the question of the problem

Which of the following is NOT on a credit report?

Answers

its the second one.
gender , it doesn’t really matter .

Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the y-axis,
then translate
(x-2, y+[ ? ]).

Answers

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane

After point D is reflected across the y-axis, its coordinates are

D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is

F -D' = (-3, -2) -(1, 2)

= (-3-1, -2-2)

= (-4, -4)

Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

To learn more on Graph click:

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1/3 + 3/5 in fraction form

Answers

Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

also read similar questions: What is 3/7 plus 3/5 in fraction form?...

https://brainly.com/question/3442261?referrer

-1 5/6 ÷ -3 1/3 in fraction form...

https://brainly.com/question/15930246?referrer

Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

ann works in a supermarket for $10.00 per hour. she received a raise to $12.00 . What is the percent of change in her hourly wage?

Answers

Answer

20%

Step-by-step explanation:

10.00 is the start wage, 12.00 is the new wage

going from 10 to 12 dollars is a 2 dollar increase

2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase

f(x) = 3x + 4 + 2 g(x) = 4 Find (f + g)(x). A. (f +g)(x) = 3x +4 +6 B. (f +g)(x) = 3x + 10 c. (f +g)(x) = 3x + 6 + 4 O D. (f +g)(x) = 3x + 10​

Answers

Answer:

(f+g) (x)= -5x-4= (-3x-2)

or, -5x + 3x= -4+2

or, -2x= -2

or,x= 2/2

:. x= 1

Step-by-step explanation:

30 POINTS!
Find the gravitational force between Earth (5.97 x 1024 kg) and the Sun (1.99 x 1030 kg) knowing they are 1.48 x 1011 m apart.

Answers

Answer:

The correct answare would be 3.54 x 10^22 N  

Prove how they are congruent. Geometry:SSS

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~

therefore correct choice is ~ C

[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]

The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

Recall:

Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.

Thus, in the two triangles given, the two triangles has:

Two pairs of congruent sides - HI ≅ ML and IJ ≅ MN

Therefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN

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similar statement of √111
Pls help

Answers

111 is between 11 and 12

Who can help me on this? NEED OF HELP!

Answers

Answer:

25+25 = 50

sum means +

Integers are positive and negative numbers, no decimals or fractions though

Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?

Answers

The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

Amount paid for down payment = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Learn more about percentage:

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What is the slope of a line that is perpendicular to the line that passes through the points (4, 7) and (9, 3)?

Answers

Answer:

5/4

Step-by-step explanation:

The original line is

7 - 3 / 4 - 9

4/-5, so the slope is -4/5

Perpendicular means the opposite sign and reciprocal.

5/4

Simplify w4z8 ÷ w2y2z4.

Answers

Answer:

w^2z^4/y^2

Step-by-step explanation:

WILl GIVE BRAINLIEST IF YOU SHOW THE STEPS!!!

Answers

Answer:

[tex]\frac{9x}{y^3}[/tex]

Step-by-step explanation:

[tex]\frac{\left(3x^2y^4\right)^3}{3x^5y^{15}}[/tex]

[tex](3x^2y^4)^3 : 3^3x^6y^1^2[/tex]

= [tex]\frac{3^3x^6y^{12}}{3x^5y^{15}}[/tex]

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

= [tex]\frac{3^2x^6y^{12}}{x^5y^{15}}[/tex]

= [tex]\frac{x^{6} }{x^{5} } : x[/tex]

= [tex]\frac{3^2xy^{12}}{y^{15}}[/tex]

=  [tex]\frac{y^{12} }{y^{15} } : \frac{1}{3{y} }[/tex]

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

[tex]3^2=9[/tex]

= [tex]\frac{9x}{y^3}[/tex]

5. Which of these points is in the second quadrant?
A. (-3,0)
B. (-4,3)
C. (2, 2)
D. (2,-2)

Answers

Answer:

A

Step-by-step explanation:

A is locate in the second quadrant

Answer is A ur gonna get a 109 cause I’m so smart

Can someone answer this for me 9- 6x -8

Answers

Answer:

Combine like terms

Step-by-step explanation:

-6x + 1

What percent of 80 is 10?

Carrie is driving to a friend’s house for the weekend. The friend lives in a town 160 mi. away. So far, Carrie has driven 64 mi. What percent of the drive does she have left?

Answers

Answer:

12.5% and 60%

Step-by-step explanation:

0.125 x 80 = 10

160-64 = 96

96/160 = 0.6

0.6 x 100 = 60%

Pairs of markings a set distance apart are made on highways so that police can
detect drivers exceeding the speed limit. Over a fixed distance, the speed R
varies inversely with the time T. In one particular pair of markings, R is 59 mph
when T is 4 seconds. Find the speed of a car that travels the given distance in 5
seconds.

Please answer!!!

Answers

R = k(1/T) = k/T

when R = 60, T = 8

60 = k/8

k = 480

R = 480/T

so when T = 6

R = 480/6 = 80 mph

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