If a1=5 and an= -5an-1 then find the value of a5.



Answers

Answer 1

Answer:

The value of a5 is 3125

Step-by-step explanation:

Recursive Sequence

It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.

The sequence is given as:

[tex]a_1=5[/tex]

[tex]a_n=-5a_{n-1}[/tex]

To find the value of a5, we need to find the previous terms first:

[tex]a_2=-5a_{1}=-5*5=-25[/tex]

[tex]a_3=-5a_{2}=-5*(-25)=125[/tex]

[tex]a_4=-5a_{3}=-5*125=-625[/tex]

[tex]a_5=-5a_{4}=-5*(-625)=3125[/tex]

The value of a5 is 3125


Related Questions

Help? please...........

Answers

Answer:

F

Step-by-step explanation:

H and J have slopes of 3, not -3, and G has an infinite slope, so it's F

16 times 99 Thank you for helping! :D

Answers

Answer:

1584 is your answer that you are looking for

Tyler thinks that the relationship between the ages of the children in Family B can be described with 2m – 2y = 10, where m is the age of the middle child and y the age of the youngest. Explain why Tyler is right.

Answers

Answer:

m - y = 5 is equivalent to 2m - 2y = 10

Step-by-step explanation:

Given

m = age of middle child

y = age of youngest child

[SEE ATTACHMENT FOR COMPLETE QUESTION]

Required

Explain why Tyler is correct

From the question, we understand that m is 5 greater than y

This can be represented as

m = 5 + y

To explain why Tyler is correct, we simply solve the above expression.

First, subtract y from both sides

m - y = 5

Multiply both sides by 2

2 * (m - y) = 2 * 5

2m - 2y = 10

This implies that m - y = 5 is equivalent to 2m - 2y = 10

And that means, Tyler conclusion is correct

What is the x axis -6x-y=74 ?

Answers

The answer in my books is 3/56 to the left of the y-axis

what is the volume of the rectangular prism​

Answers

Answer:

3.75

Step-by-step explanation:

Morgan and Kira have a number of jelly beans in a ratio 5:3. If Morgan and Kira have a total of 64 jelly beans, how many does Kira have? What are we comparing

Answers

Answer:

Kira has 40 Jelly beans

Step-by-step explanation:

Morgan and Kira have a number of jelly beans in a ratio 5:3.

The ratio is

Morgan : Kira

5:3

The total proportion is= 5 + 3 = 8

Total number of Jelly beans that they have together is = 64 jelly beans

Hence, the number of Jellybeans that Kira has is calculated as:

5/8 × 64 jelly beans

= 40 jelly beans.

Kira has 40 Jelly beans

(1, 4) and (6, -1) slope intercept form

Answers

Answer:

y = -1x + 5

Step-by-step explanation:

I think it’s
Y= -1x +5
But I’m not sure! Hopefully this helps :)

who wanna be a brainliest???? answer this question 1+1=?​

Answers

Answer:

2? 4? 6? 8? lol

Step-by-step explanation:

To be honest I almost said gosh and then remembered that’s two plus two. Haha it equals 11

2x + 3y = 15
x + y = 6

Answers

Answer:

y=3

x=3

Step-by-step explanation:

2x +3y=15

2x-2y=-12

y=3

x=3

Jonathan wants to the new baseball game for his game console. The game costs $45.99. Of sales tax is 6%, write an equation to find the total cost of the game, represented as P.

Answers

Answer: See explanation

Step-by-step explanation:

Cost of game = $45.99

Sales tax = 6%

The equation to find the total cost of the game, represented as P will be:

P = 45.99 + (6% × 45.99)

= 45.99 + (0.06 × 45.99)

= 45.99 + 2.7594

= $48.7494

Walkway over the hudson, a bridge that crosses the hudson river in poughkeepsie, is 2.063 kilograms long. Anping bridge, which was built in china 850 years ago, is 2.07 kilograms long. what is the total span of both bridges.

Answers

Answer: 4.133 kilometers

Step-by-step explanation:

From the question, we are informed that walkway over the hudson, a bridge that crosses the hudson river in poughkeepsie, is 2.063 kilograms long and that Anping bridge, which was built in china 850 years ago, is 2.07 kilograms long.

The total span of both bridges will be the addition of both walkway. This will be:

= 2.063 kilometers + 2.07 kilometers

= 4.133 kilometers

does anyone know this

Answers

Answer:

the answer is A

a+b

Step-by-step explanation:

hope it helps

The fuel tank of a certain airplane can hold up to 300 gallons of fuel. Let Wbe the total weight(in pounds) Let F be the total amount of fuel in this tank ( in gallons) Suppose that W = 6F +4000 gives W as a function of F

Answers

Answer:

Range of weight = [4,000 , 5,800]

Step-by-step explanation:

Given:

Function W = 6F +4000

Full amount of fuel = 300 gallons

No amount of fuel = 0 gallons

Find:

Range of weight

Computation:

Domain : amount of fuel = [0 , 300]

If F = 0

W = 6F + 4,000

W = 6(0) + 4,000

W = 4,000

If F = 300

W = 6F + 4,000

W = 6(300) + 4,000

W = 5,800

Range of weight = [4,000 , 5,800]

What is the solution to -4(8 – 3x) 6x – 8?
4
3
O x2
0 /
O x ²4
ox34

Answers

Answer:

Step-by-step explanation:

-4(8-3x)6x-8

Since there is nothing in between the ) and 6x the answer is

72x^2-192x-8

Is there supposed to be a - or + there? It'll change the answer.

can someone explain this to me:)​

Answers

Answer:

B) m = 2 , b = -3

Step-by-step explanation:

b = y-intercept

The y-intercept is -3

b = -3

m = slope

The slope is 2

m = 2

I think m = x and b = y, or vice versa

What is the slope 9,8 and 7,-8

Answers

Answer:

y2-y1/x2-x1

Step-by-step explanation:

7-9/-8-8

-2/-16

1/8

A wooden fence 6 ft. high and 300 ft. long is to be painted. How many gallons of paint are needed if one gallon covers 400 sq. ft.?

Answers

Answer:

4.5 gallons of paint

Step-by-step explanation:

I need help With this Math assighnment.

Answers

Answer:

$3.60

Step-by-step explanation:

Hope this helped

Find the value of x in the
following parallelogram:
5x + 10
6x - 15
X + 15
x = [?]

Answers

Answer:

6

Step-by-step explanation:

$1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples. How much money does the student spend at lunch, in dollars and cents?

Answers

Answer:

$4.75 = 4 dollars and 75 cents

Step-by-step explanation:

$1.85 for a sandwich

$1.15 for a drink

$0.65 for a bag of chips

$1.10 for two apples.

The total amount of money the student spent at lunch, in dollars and cents is:

$1.85 + $1.15 + $0.65 + $1.10

= $4.75

In words = 4 dollars and 75 cents

Answer:

find it out yourself

Step-by-step explanation:

stop cheating

Which of the following expressions is equivalent to "eight groups of four"?
A 8+4
B. (8 + 4)
C. 8 x 4
D. 4°

Answers

Answer:

Hey mate,here is your answer. Hope it helps you.

Step-by-step explanation:

The answer is c- 8 x 4. As there are 8 groups of 4 the easiest way to calculate is by multiplying them both. Repeated addition is known as multiplication.

In order to make the color pink, a painter mixes 2 cups of white paint with 5 cups of red. If the painter wants to use 4 cups of white, how many cups of red paint will she need to make the same color pink?

Answers

Answer:

10 cups of red paint

Step-by-step explanation:

the painter will use 10 cups of red paint

express as an improper fraction 13 ⅔

Answers

Answer:

13 ⅔ = 13 + 2/3 = (39+2)/3 = 41/3

Answer:

15/3

Step-by-step explanation: first, you will need to add 13 to the two that is already in the fraction, and slap the three underneath.

In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how many meters will the cyclist travel in 7 seconds?

Answers

Answer:

133m

Step-by-step explanation:

Rate can be defined as the measure of a quantity with time

Rate the professional cyclist travels =380/20

To know the rate rate, in meters will the cyclist travel in 7 seconds then we equate the rate above as

380/20= x/7

Cross multiply

380×7=20X

2660= 20x

X=133m

Hence, the rate rate, in meters will the cyclist travel in 7 seconds is 133m

PLD HELP ME I WILL FAIL PLS​

Answers

Answer:

8 recipes

Step-by-step explanation:

make 1 1/4 into decimal

makes it easier

10 divided by 1.25

8 recipes

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain and range?


D: {1, -3, -4,}, R: {0, 1, 2, -4}
D:{0, 1, 2, -4}, R:{1, -3, -4}
D:{0, 1, 2, 3, 4}, R:{1, -3, -4}

Answers

I think the second choice has the correct domain and ranges

Use the point-slope equation to identify the slope and the coordinates of a point
on the line y - 4 = {(x - 1).
The slope of the line is
A point on the line is

Answers

Answer:

M=1/2 and 1/4

Step-by-step explanation:

I hope this is what you are asking.

Answer:

Look at step-by--step

Step-by-step explanation:

Answer for edge

1. m= 1/2

2. (1,4)

So i need help on ANOTHER question i know i might be annoying but itz because im STOOPIDD okay? ok so the question is.... which is equal to 88x102. I know it looks easy but the two is supposed to be a little tiny two so its like 10 and tiny 2. I hope you can helpppp i will give like 15 points. Well i will put 15 but they might not give 15 but anyways just pls help me i needs some help. THX :))))))))

Answers

Answer:8976

Step-by-step explanation:

Which ratios are equivalent? Check all that apply.
09:15 and 18:30
21:25 and 30:50
0 3:5 and 5:10
5:6 and 20:24
Please help me I’m in 6th grade

Answers

Answer:

9:15 and 18:30 are equivalent. Both ratios are multiplied by 2

5:6 and 20:24 are equivalent. Both ratios are multiplied by 4

Answer:

09:15 and 18:30 and 5:6 and 20:24

Step-by-step explanation:

9+9 = 18 and 15 + 15 = 30. Thats how you get 18:30. Next, 5x4 = 20 and 6x4 = 24. 20:24. Hope this helps you :)

Please help me 10 points i just joined today ;)

Answers

Answer:

y=2x+4

Step-by-step explanation:

2 is the slope, you can see that with rise over run. 4 is the y intercept

Answer:

y=2x+4

Step-by-step explanation:

Look at the y-axis if the point that touches the y-axis is 4

Then the slope is 2

you go down 2 which is -2 (Since down is negative)

and you go left 1 which is -1 (Since left is negative)

now the equation looks like this:

y=-2/-1x+4

Simplify: (negative and negative cancel each other out making it positive)

y=2x+5

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