Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.

Find The First 5 Terms Of The Sequence A1= -4, An = 3an-1 -2 For N > 1.

Answers

Answer 1
Answer:  -4, -14, -44, -134, -404

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

Explanation:

The notation [tex]a_1 = -4[/tex] tells us that the first term is -4.

To generate the next term, we'll use the recursive rule [tex]a_n = 3*a_{n-1}-2[/tex] which is probably better written as [tex]a_n = 3*(a_{n-1})-2[/tex]. That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".

This means,

2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404

Therefore, the first five terms are: -4, -14, -44, -134, -404


Related Questions

What is the area of this figure?

Answers

Given :-

A figure is given to us .

To Find :-

The area of the figure .

Solution :-

As we can see that the given figure is made up of a parallelogram and a ∆ . As we know that the opposite sides of a parallelogram are equal . So that the base of the ∆ would be 9cm . Now ,

[tex]\longrightarrow[/tex] Area = ar(||gm ) + ar(∆)

[tex]\longrightarrow[/tex] Area = (9*5 + 1/2*8*9)cm²

[tex]\longrightarrow[/tex] Area =( 45 + 45 ) cm²

[tex]\longrightarrow[/tex] Area = 90cm²

Hence the area of the given figure is 90cm² .

Find the perimeter of this figure. Enter your answer in the box.
(-7 , 3) (8 , 3) (-7 , -1) (2 , -1) (2 , -8) (8 , -8)

Answers

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

Answer:

52 units

Step-by-step explanation:

Plot the points and connect.

Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.

Horizontal sides sum to:

2*(8  - (-7)) = 2*15 = 30

Vertical sides sum to:

2*(8  - (-3)) = 2*11 = 22

The perimeter is:

30 + 22 = 52

for a brainlist let me know asap if i am correct
and pls explain

Answers

Answer:

A

Step-by-step explanation:

What is the answer to (6 1/2)/2

Answers

Answer:

3.25

Reasoning:

[tex]\frac{6.5}{2}[/tex]

[tex]3.25[/tex]

What is the slope of the line that passes through the points (-9, 2) and
(1, 27)? Write your answer in simplest form.

Answers

Answer:

5/2

Step-by-step explanation:

Y(2)-Y(1)/ X(2)-X(1)

(27-2)/(1-(-9)

25/10

simplified=5/2

[tex]\sqrt{17} \times \sqrt{17}[/tex]

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{17}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

[tex] \sqrt{17} \times \sqrt{17} [/tex]

[tex]( \sqrt{17}) {}^{2} [/tex]

[tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex]

[tex]17[/tex]

y=6x+8 what is the y and x value. find y when x = -3 and find x when y = 2

Answers

Answer:

y= -13 x= -1

Step-by-step explanation:

y=6x+8

y=6(-3)+8

y= -21+8

y=-13

2=6x+8

-8=6x

-6=6x

x= -6/6= -1

pls help me with these 2 questions​

Answers

Answer:

x(2x-1)=0

3x-1x=0

2x=0

x=0/2

x=0

Step-by-step explanation:

LCM

first term =3x

=3×x

second term = 4x²y

=2×2×x×x×y

third term =x(x+1)

LCM=x

Answer:

djeuiiuhjjjcjffvgbftvkrfjjjjjrjrjrjjnnrnrf

Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)

Answers

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Step 1: Slope

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

Step 2: Y - Intercept

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Step 3: Equation

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Find the missing side. Round to the nearest tenth, if necessary.


Answers

Answer:

Apply the concept of:

a²+b²=c²

1. 5²+4²=c²

  25+16=c²

        c²=41

         c=6.4 (to nearest tenth)

Do the same for the other qns.

Answer asap, please!!!

Answers

Answer:

4s²

Step-by-step explanation:

The area is made up of four squares each of side s . The area of one square will be s*s = s² .

Hence the area of 4 such squares will be 4*s² = 4s²

Your choice is correct .

Solve each equation.
1. r-38= 9 _____
2. h+17=40 _____
3. n + 75= 155 ____
4. q - 17= 18 _____

Answers

Answer:

1. r - 38 = 9

=> r = 9 + 38

=> r = 47

2. h + 17 = 40

=> h = 40 - 17

=> h = 23

3. n + 75 = 155

=> n = 155 - 75

=> n = 80

4. q - 17 = 18

=> q = 18 + 17

=> q = 35

Step-by-step explanation:

Hoped this helped.

Can someone please answer for a and c

Answers

Answer:

a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

First Triangle, this is a 45-45-90 triangle

so the side are 1-1-√2

so if one of the side is 3, you multiply the above by 3

1*3-1*3-√2*3

therefore, a=3√2

Second triangle

this is a 30-60-90 Triangle

so the sides are x-x√2-2x

for this triangle

x√2=6

x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator

x=6√2/4 --> simplify

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

therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]

Micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?

explanation is needed

Answers

Answer:

Jocelyn = 8 Miles an Hour

Micheal-Anthony = 6 Miles a Hour

Jocelyn Run Faster than Micheal-Anthony.

Step-by-step explanation:

Important information:

Michael-Anthony runs 3 Miles in 20 Minutes.

Jocelyn Runs 4 Miles in 30 Minutes.

Continues at pace for 1 Hour.

Questions that Need to be Answer:

How many miles does each person each person run in an hour?

Who runs faster?

Explanation/Solution:

So, We know that 1 Hour = 60 Minutes and three 20 minutes equal 60 Minutes also known as 1 Hour..

Since, three 20 minutes equal 1 Hour that means

Micheal-Anthony Run 6 Miles a Hour adding the 20 Minutes equal 9 Miles

Hence, Micheal-Anthony Run 9 Miles..

We know that 1 Hour = 60 Minutes and two 30 Minutes equal 60 Minutes also known as 1 Hour..

Since, two 30 Minutes equal 1 Hour that means

Jocelyn Run 8 Miles a Hour adding the 30 Minutes equal 12 Miles

Hence, Jocelyn Run 12 Miles..

For these Reason, You can tell that Jocelyn Run 8 Miles an Hour and Micheal-Anthony Run 6 Miles a Hour and Jocelyn Run Faster than Micheal-Anthony.

which is a better buy six cans for $7 or 8 cans for $9?

Answers

Answer:

8 cans for 9$

Step-by-step explanation:

buy 8 cans for 9$

The 8 cans for $9 is better than six cans for $7.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We need to find better buy six cans for $7 or 8 cans for $9.

Let's find the unit rate of both the quantitites;

six cans for $7

Then one can = 7/6 = 1.16

Therefore, 8 cans for $9.

one can = 9/8 = 1.125

Hence, the  8 cans for $9 is better than six cans for $7.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Find the perimeter. Simplify your answer.

Answers

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

What is a triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

What is the perimeter of the triangle?

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

24c - 14

2(12c - 7)

To learn more about a triangle, please check: https://brainly.com/question/9329354

[tex]\boxed{\bf HELP\: MEEEE}[/tex]
[tex]\boxed{\bf 30\times 11\times11}[/tex]
[tex]\boxed{\bf TY\:TY}[/tex]

Answers

Hello there! :)

30*11*11

3,630

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4

Answers

Use pi, and if you still can’t find it, then ask Brainly.com/Ididntrobabank

Help plz. No links.



What is 8.21 times 4.2?

Show your work.

Answers

Answer:

34.482 is the answer to your question

What is domain and range

Answers

Answer: domain and range is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

Juan worked 2.5 hours and earned $37.00. Lisa was paid $42.00 for 3 hours of work. Which of the following statements is true?

Juan made a lower rate of pay because he made less money.

Lisa made a better rate of pay because she made more money.

Lisa said she made a better rate of pay because her rate was $14 an hour.

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Answers

Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

what is the vertical asymptote for this function?
y=1/x-2

Answers

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

Answer:

2

Step-by-step explanation:

A cylinder has a base radius of 8 meters and a height of 19 meters. What is its
volume in cubic meters, to the nearest tenths place?

Answers

Answer:V≈3820.18m3 the best i got

Step-by-step explanation: V=πr2h=π·82·19≈3820.17667m³ i hope this helps

8.
Use vertex form to write the equation of the parabola.
A. y= 3(x - 2)^2 - 2
B. y= (x + 2)^2 + 2
C. y= 3(x + 2)^2 + 2
D. y= 3(x - 2)^2 + 2

Answers

Answer:

C. y= 3(x + 2)^2 + 2

Step-by-step explanation:

A. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , − 2 )

B. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

C. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( − 2 , 2 )

D. Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 2 , 2 )

Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)

Answers

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds

Answers

Answer:

d = 64 feet

Step-by-step explanation:

Given that d is directly proportional to t² then the equation relating them is

d = kt² ← k is the constant of proportion

To find k use the condition t = 8 , d = 1024 , then

1024 = k × 8² = 64k ( divide both sides by 64 )

16 = k

d = 16t² ← equation of proportion

When t = 2 , then

d = 16 × 2² = 16 × 4 = 64 feet

2) What is the inequality that this graph represents? -15 # 3 6 x​

Answers

Answer:  [tex]y < -\frac{1}{2}x+3[/tex]

This is the same as writing y < (-1/2)x+3

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

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

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

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing [tex]y = -\frac{1}{2}x+3[/tex]

We shade below the dashed line to represent the inequality [tex]y < -\frac{1}{2}x+3[/tex]. Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

Jill cut 26 apples today. 12 of those apples were red. The rest were green. What is the ratio of red to green apples?

Answers

Answer:

7 : 6 is the ratio

Step-by-step explanation:

14 apples were green and 12 apples were red, so divide both terms by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

Therefore:

14 : 12 = 7 : 6.

26-12=14

12 Red
14Green

think of it as a fraction

12/14

find a common denominator (2)

12/14= 6/7

so the ratio is actually 6:7 because it says “what is the ratio of red to green apples” that means they want it in that order.

5 sin^2 x = sin x
please help.

Answers

[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]

Divide both sides by sin x

[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]

[tex]\\ \sf\longmapsto 5sinx=1[/tex]

[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto sinx=0.2[/tex]

[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]

[tex]\\ \sf\longmapsto x=11.53[/tex]

One centimeter is equal to 10^-2 meters. What decimal number
is equivalent to 10^-2

Answers

Answer: shoulb be to the thirs 4/8

Step-by-step explanation:

Other Questions
1. Which sequence of transformations takes A to its image,B ? A. reflection over the x-axis and translation 2 units down B. reflection over the y-axis and translation 2 units down C. translation 2 units down and 90 rotation about the origin D. translation 12 units right and 90 rotation about the origin How and why? Pls help and tell me why so I know in future! Thank you! A business owner makes 60 items by hand in 45 hours. She could have earned $35 an hour working for someone else. Her total explicit costs are $225. If each item she makes sells for $18, her economic profit equals: How are typhoons formed? Need help! No links plz!!Why can't we observe the image of a distant object in a concave mirror, but we can observe in a convex mirror? Both images are diminished. Please help!!Choose the definition for the function. Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x? if x+y=5,and xy=10, find the value of x2+y2 Evaluate the expression when m=8 and n=9.4n+m Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how manycans should Grayson leave for the time he is away? paragraph is collection sentence that talk about one simple adia with one topic sentence and two or more suporting sentences How many milliliters of a stock solution of 12.1 M HNO3 would be needed to prepare 0.500 L of 0.500 M HNO3 how many repeat units are required to make a nylon polymer with a formula weight of 15,000 amu? find four rational numbers between -5 and 8 during medieval times, books were either written on __________ or __________. Will mark brainliestWhich type of conflict does Theseus face with Procrustes in "The Adventures of Theseus"?1.man vs. society2.man vs. man3.man vs. himself4.man vs. nature What can you learn from seeing the world through an animals eyes in the equation f(x) = 5x + 6,6 is called? Potential energy is described asQuestion 1 options:Stored energyDecreasing energyMovementFriction Christianity is rooted from what religion?