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

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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

Please help ….Simplify: V18x7

Answers

Answer:

The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1

Step-by-step explanation:

Which equation is correct?

792 × 5 = 700 × 5 + 90 × 5 + 2

792 × 5 = 700 + 90 × 5 + 2 × 5

792 × 5 = 700 × 5 + 90 × 5 + 2 × 5

792 × 5 = 7,000 × 5 + 900 × 5 + 20 × 5

Answers

Answer:

what's the correct number supposed too equal?

Answer:

I don't see a Solution to this equation

find the sum
(2x+6)+(4x-12)
HELp

Answers

Answer:

6x-6

Step-by-step explanation:

(2x+6)+(4x-12)=2x+6+4x-12

                      =6x-6

6x-6, you add both x values and and then add the 6+(-12) leaving you with -6

solve for x in the triangle!!!

Answers

Answer:

13

Step-by-step explanation:

Combine all like terms:

14x-2

Since there are 180 degrees in a triangle, all three angles are going to equal 180.

14x-2=180

Add 2

14x=182

Divide by 14

x=13

Rabbitton has 34 rabbits for every 8 gardens. Rabbit Ville has 48 rabbits for every 14 gardens. Which town has more rabbits per garden?

Answers

Rabbitton: 34 / 8 = 4 1/4

Rabbit Ville: 48 / 14 = 3 3/7

Rabbitton has more rabbits per garden

Please help with this dilation

Answers

Answer:

k= 1/4 m=16

Step-by-step explanation:

7 over 28 is 1/4 and 4 times 4 is 16

y = –15x + 375.
Graph the linear equation.

Answers

Answer:

the required graph is in the attachment.

Step-by-step explanation:

(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1

Answers

Answer:

Angle 2 = 120 degrees, Angle 1 = 60 degrees

Step-by-step explanation:

Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.

x+x+60=180

2x+60=180

2x=120

x=60

Angle 1 = 60

Angle 2 = 60+60=120

A seat for all games,events,concerts,and performances cost $900 there are 48 events in total but Alex only attended 14 how much did he pay.

Answers

Answer = $262.5

$900/ 48 = 18.75
$18.75 x 14 = 262.5

help me please.........

Answers

Answer:

the answer is 10,700 :)

Step-by-step explanation:

Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks

Answers

Answer:

66

Step-by-step explanation:

Multiplying 8 by 2 which gives you 16.

Then 16 Add 50 = 66

discount is calculated on which price

Answers

Answer:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price

grace read 4 days a this week. She reads 10 minutes each day. if her teacher wants her to read a total of 60 minutes, how many more minutes does grace need to still read?

Answers

Answer: 20 more minutes

Step-by-step explanation:

Grace has already read 40 minutes due to her reading 4 times a week and 10 minutes each time(4x10=40). She has 20 more minutes to read as there as 60 minutes in a hour  

Grace needs 20 minutes more to read.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Grace read 4 days a this week.

In one day she read= 10 minutes

So, in 4 days she read = 4 x 10

                                     = 40 minutes.

So, total time taken = 60 minutes.

Thus, she needs to read (60 - 40) = 20 minutes.

Learn more about unitary method here:

https://brainly.com/question/22056199

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In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts

Answers

In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.

Consider some possible orderings of the deck:

• If the 3 of spades is the 14th card, then the deck looks like

[all 13 ♥] … 3 ♠ … [all other 38 cards]

There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.

• If 3 ♠ is the 15th card, then the deck looks like

[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]

and there would be 14! × 37! ways of arranging the cards in this order.

There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is

[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]

There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is

[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]

no need to explain just tell the answer

Answers

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

The Picture is attached below

Answers

Answer:

Step-by-step explanation:

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:never touch

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:  

Using these points, we can determine that the equation is as follows:  

Line B: y = -2/3x + 7/3  

And since Line A has the same slope, it would make Line A's equations like this:  

Line A: y = -2/3x - 11/3  

This makes these equations Parallel to each other because they have the same slope with different y-intercepts.

help me please question in picture​

Answers

Answer:

the answer is 3x as that is the slope

Answer:

3

Step-by-step explanation:

yeah < 3

Solve this. c+5.96=6.76

Answers

Answer:

c=0.8

Step-by-step explanation:

Step 1: Subtract 5.96 from both sides.

c+5.96−5.96=6.76−5.96

c=0.8

HELP 35 POINTS

State the domain and range to each of these functions and determine function or not.

Answers

Answer:

see below

Step-by-step explanation:

2.x<1, y=all real numbers

3. -1<=x<=3 -3<=y<=2

4. x= all real numbers, y>-2

5. 7<=x<5, 3<=y<1

6.x>-4, y>-1

18-3(8c+4)=-6(4c-1) show your work

Answers

Answer:

No solution  

Step-by-step explanation:

Solve:

18 + -3(8c + 4) = -6(4c + -1)

Reorder the terms:

18 + -3(4 + 8c) = -6(4c + -1)

18 + (4 * -3 + 8c * -3) = -6(4c + -1)

18 + (-12 + -24c) = -6(4c + -1)

Combine like terms: 18 + -12 = 6

6 + -24c = -6(4c + -1)

Reorder the terms:

6 + -24c = -6(-1 + 4c)

6 + -24c = (-1 * -6 + 4c * -6)

6 + -24c = (6 + -24c)

Add '-6' to each side of the equation.

6 + -6 + -24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

0 + -24c = 6 + -6 + -24c

-24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

-24c = 0 + -24c

-24c = -24c

Add '24c' to each side of the equation.

-24c + 24c = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = 0

Solving

0 = 0

No Solution

(Hope this helps can I pls have brainlist (crown)☺️)

Alex and Maria went out for dinner. The bill was $25.80. They leave a 20% tip. How much of a tip will they leave?

Answers

Answer:

$5.16

Step-by-step explanation:

$25.80 x 20/100

Answer:

Step-by-step explanation:

Answer:

Tip Total: $ 5.16

Tip Each Person: $ 2.58

Total (Bill + Tip): $ 30.96

Total Each Person: $ 15.48

which of the following numbers closest to 6? 34, 37, 38, 33.

Answers

33 is the closest number if talking about math but in the question 34 is the number closest to 6 in your question

Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?

Answers

2540 feet
You would have to get the number of feet in each mile which in 3 miles would be 15840 then find how many feet in 2.5 which would be 13200. To get this answers you would have to use the equation 5280x3 for the 3 miles and 5280x2.5

i need help fast please

Solve this and show steps

4.5×8-(0.4+9.6-(3.6-1.8))

Answers

Answer:

27.8

Step-by-step explanation:

You need to do brackets first

3.6-1.8 = 1.8

Then substitute

4.5 x 8- (0.4 + 9.6- 1.8)

0.4+9.6-1.8=8.2

4.5 x 8 - 8.2 =27.8

Umm so I'm confused
The question says
5x - 2y = 24
x + 2y = 12

Answers

Answer:

Step-by-step explanation:

5x-2y=24

x+2y=12

add the two equations

(5x-2y)+(x+2y)=24+12

6x=36

x=6

Plug in x=6 into any of the two equations

5(6)-2y=24

30-2y=24

-6= -2y

y= 3

x=6

y=3

(6,3)

Find the area of the figure below, formed from a triangle and a parallelogram

Answers

Answer:

32 square millimeters

Step-by-step explanation:

Parallelogram area formula => B x h

Base = 6 mm

Height = 4 mm

Area = 24 mm^2

Triangle area formula B x h x 1/2

Base = 8 mm

Height = 2 mm

Area = 8 mm^2

Total area = 24 + 8 = 32 mm^2

The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.

What is surface area?

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

As per the given parallelogram and a triangle,

The bigger side of parallelogram = 6 + 2 = 8mm

Smaller side = 6mm

The perpendicular distance between the sides of the parallelogram = 4mm

The base of the triangle = 2mm

Height of triangle = 4 mm

Therefore, the complete area

(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²

Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".

To learn more about surface area,

https://brainly.com/question/2835293

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Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.


A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P

Answers

D. 10A(54)+10P

Is the correct answer

Answer:

A. 10A+10P+54

Step-by-step explanation:

The sides of a triangle are in the ratio 3, 4, 5. State whether the triangle is right angled or not.

Answers

Answer:

If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.

Step-by-step explanation:

In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.

We are given the sides of a triangle whose ratio is 3:4:5.

Considering the sides to be 3x,4x,5x.

Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.

We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.

So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.

Squaring the base side 4x, we get:

(4x)2=16x2 …….(1)

Similarly, squaring the height side 3x, we get:

(3x)2=9x2 …….(2)

Squaring the hypotenuse side 5x, and we get:

(5x)2=25x2 …….(3)

Taking the sum of (1) and (2):

16x2+9x2=25x2, which is equal to the equation (3).

That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.

Answer:

it is a right triangle

Step-by-step explanation:

If the triangle is a right triangle, it will meet the Pythagorean theorem

a^2 + b^2 = c^2

3^2+4^2 = 5^2

9+16=25

25=25

This is true so it is a right triangle


Scott makes $12 per hour babysitting and $8 per hour working at the grocery store. He will need to make
at least $600 to buy a new computer

Answers

What am I solving for it doesn’t give a specific question.

Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.

For babysitting, he earns $12 per hour.

For working at the grocery store, he earns $8 per hour.

So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.

He needs to make at least $600 to buy a new computer.

Therefore, we can write the equation:

12x + 8x ≥ 600

Combine the like terms:

20x ≥ 600

Now, solve for x by dividing both sides of the inequality by 20:

x ≥ 600 / 20

x ≥ 30

Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

To learn more on Inequalities click:

https://brainly.com/question/28823603

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Complete question:

"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"

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