What two types of formulas can be used to represent a sequence?

Answers

Answer 1

Answer:

In this lesson, we'll be learning two new ways to represent arithmetic sequences: recursive formulas and explicit formulas. Formulas give us instructions on how to find any term of a sequence.

Step-by-step explanation:


Related Questions

Help please!
The numbers are 152° and 28°

Answers

Answer:

62

Step-by-step explanation:

152-90= 62

The total cost for a chair, a desk, and a lamp is $562. The desk costs four times as much as the lamp and the chair costs $23 less than the desk. Find the cost of each item.

Answers

Ok I’m giving a educated guess here so $562 divided by 3 is 187.3 then you do 187.3-23 which would be 164.3 so if I’m correct it would be 164.3 for both the chair and the lamp and 187.3 for the desk also just a heads up the .3 would be .333333.... :) I will delete if I’m wrong

Can someone please answer this with step please.

Answers

Answer:

It is the sedond one

Step-by-step explanation:

7n, 4n because they have the same variable, n.

A train is travelling with a velocity of 15m/s.
It then accelerates at 0.5 m/s2 for 6 seconds.
Use the formula v=u+ at to calculate the velocity of the train after the 6 seconds.

Answers

Given that,

Initial speed, u = 15 m/s

Acceleration, a = 0.5 m/s²

Time, t = 6 s

To find,

Velocity after 6 seconds.

Solution,

Let v is the velocity of the train.

Using equation : v = u +at

Put all the values,

v = 15 +0.5(6)

= 15 + 3

= 18 m/s

So, its final velocity is 18 m/s.

PLZZ HELP ME
Oscar lends his brother $125.00 and charges him 5% interest. How much will Oscar's brother pay back for the loan in total?

A.
$118.75

B.
$130.00

C.
$131.25

D.
$187.50

Answers

Answer:

125/100 X 105 = 131.25

loan total = $131.25

BRAINLIEST AND 50 POINTS!!!!! Choose the best answer
∠FOA 40 140 90 130 50
∠COA 40 140 90 130 50
∠DOA 40 140 90 130 50

Answers

Answer:

2nd one COA 40 140 90 130 50

Step-by-step explanation:

IF IM WRONG TELL ME AND I HELP YOU OUT AGAIN

Answer:

A=180 B=150 C=130 D=90 E= 60 F=40

Step-by-step explanation:

A=180 B=150 C=130 D=90 E= 60 F=40

In preparation for an Easter egg hunt,4 blue eggs are filled for every 7 green eggs. How many green eggs will be filled if 100 blue eggs were filled?

Answers

Answer:

175 green eggs

Step-by-step explanation:

The ratio of blue eggs to green eggs that are filled is 4/7

You can make a proportion:

4/7 = 100/x

x is the number of green eggs filled (x is the answer to the problem.

If you cross-multiply then it will be 700 = 4x

divide by 4 on both sides and x would equal 175.

Please help me! Only answer if you know it and I’ll mark you brainiest

Answers

Answer:

BD = 13x +27

Step-by-step explanation:

according to the rectangle theory

the diagonals of a rectangle bisect each other.

thus,

AC = BD

we can write AC as AE+ CE

11x -18 + 2x+45 = BD

13x + 27 = BD

hope it helps:)

Can you solve this math minigame first?
Don't use a calculator.
Whoever gets the most right wins and gets brainliest
Goodluck
----------------
1 x 4
4 x 4
2 x 5
10 x 10
9 x 9
8 x 8
6 x 6
6 x 5
7 x 8
100 x 100 <= solve for THREE points

Answers

4
16
10
100
81
64
30
56
10,000

A man walks for x hours at a speed of
(x + 1) km/h and cycles for (x - 1) hours at
a speed of (2x + 5) km/h. If the total distance
travelled is 90 km, x

Answers

Given:

A man walks for x hours at a speed of  (x + 1) km/h and cycles for (x - 1) hours at  a speed of (2x + 5) km/h.

Total distance  travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]Speed\times Time=Distance[/tex]

A man walks for x hours at a speed of  (x + 1) km/h, so walking distance is

[tex]D_1=(x+1)(x)[/tex] km

The man cycles for (x - 1) hours at  a speed of (2x + 5) km/h, so the cycling distance is

[tex]D_2=(2x+5)(x-1)[/tex] km

Now,

Total distance = 90 km

[tex]D_1+D_2=90[/tex]

[tex](x+1)x+(2x+5)(x-1)=90[/tex]

[tex]x^2+x+2x^2-2x+5x-5-90=0[/tex]

[tex]3x^2+4x-95=0[/tex]

[tex]3x^2+19x-15x-95=0[/tex]

[tex]x(3x+19)-5(3x+19)=0[/tex]

[tex](3x+19)(x-5)=0[/tex]

[tex]3x+19=0\text{ and }x-5=0[/tex]

[tex]x=\dfrac{-19}{3}\text{ and }x=5[/tex]

Time cannot be negative. So, the only possible value of x is 5.


16 Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)
Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above and
below the mean with computed values.
Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg, Standard
Deviation = 1.1 kg.
(a) 68% of the data is between which 2 values? 8.4 oro kg -- 10.0 kg
(b) 95% of the data is between which 2 values? 7.3 kg - 11. oo kg
(c) What percentage of the data is less than 8.4 kg?
(d) What percentage of the data is between 7.3 kg and 11.7 kg?
(w) What percentage of the data is more than 12.8 kg?

Answers

Answer:

a)8.4kg to 10.6kg

b)7.3 kg to 11.7kg

c)16%

d) 95%

e) 0.15%

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question,

Mean(μ) = 9.5 kg,

Standard Deviation (σ) = 1.1 kg.

a) 68% of the data is between which 2 values?

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

μ - σ

= 9.5kg - 1.1kg

= 8.4kg

μ + σ

= 9.5kg + 1.1kg

= 10.6kg

Therefore, 68% of the data is between 8.4kg to 10.6kg

(b) 95% of the data is between which 2 values?

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ - 2σ

9.5kg - 2(1.1)kg

9.5kg - 2.2 kg

= 7.3kg

μ + 2σ

9.5kg + 2(1.1)kg

9.5kg + 2.2 kg

= 11.7kg

Therefore, 95% of the data is between 7.3 kg to 11.7kg

(c) What percentage of the data is less than 8.4 kg?

We need to find how many standard deviations from the mean 8.4kg is, in order to know the percentage it falls under

μ - xσ = 8.4kg

= 9.5kg - 1.1x = 8.4kg

9.5 - 8.4 = 1.1x

1.1 = 1.1x

x = 1.1/1.1

x = 1

Hence, the percentage it falls under according to Empirical rule = 68%

The percentage of the data that is less than 8.4 kg is calculated as:

100 - 68/2 = 32/2 = 16%

(d) What percentage of the data is between 7.3 kg and 11.7 kg?

We have to find the Standard deviation that they fall under

For 7.3 kg

μ - xσ = 7.3kg

= 9.5kg - 1.1x = 7.3kg

9.5 - 7.3 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

μ + xσ = 11.7kg

= 9.5kg + 1.1x = 11.7kg

11.7 - 9.5 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

Therefore, based on the calculation above and the empirical formula rule, the percentage of the data is between 7.3 kg and 11.7 kg is 95%

(e) What percentage of the data is more than 12.8 kg?

μ + xσ = 12.8kg

9.5kg + 1.1x = 12.8kg

= 12.8- 9.5 = 1.1x

3.3 = 1.1x

3.3 = 1.1x

x = 3.3/1.1

x = 3

Hence, the percentage it falls under according to Empirical rule = 99.7%

The percentage of the data that is more than 12.8kg is calculated as:

100 - 99.7/2 = 0.3/2 = 0.15%

Please help ASAP I'm willing to give Brainiest
49. You have been asked to place a warehouse so that it is an equal distance from the three roads indicated on the following map. Find this location and show your work.


a. What constructions would you need to perform to accomplish the task?

b. What is the point called where you will place the warehouse?

Answers

Not sure about part a, but the answer to b is the central configuration

Step-by-step explanation:

factorize 2x² - 5x+ 2x - 5​

Answers

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Answer:

(x+1)(2x-5)

Step-by-step explanation:

answer correctly for brainliest +10 points!

Answers

The top right corner is the table that represents a linear function because when x goes up by 1 y continuously goes down by 2 and stays consistent

Question 1 (2 points)
Find the slope and y-intercept for the graph below.
m
b

Answers

Answer:

The slope is:

[tex] \frac{5}{2} [/tex]

The y-intercept is:

-3

2a^2 + 11a + 15 = 0 factorise

Answers

Answer:

The answer is (2a + 5)(a + 3).

Step-by-step explanation:

The steps are :

2a² + 11a + 15 = 0

2a² + 6a + 5a + 15 = 0

2a(a + 3) + 5(a + 3) = 0

(2a + 5)(a + 3) = 0

help please will give brainiest

Answers

Answer:

the first one

Step-by-step explanation:

please help me with number 8. part A and B. it’s a test

Answers

Answer:

Dude divide the amount of money small loaves cost by $97 and then do the same but with the amount of money the loaves cost

50 points please help

Answers

Answer:

What are in the boxes?

Step-by-step explanation:

Can you show the text in the choose box please?

Need help kinda stuck on this one!

Answers

it goes zero positive negative. that is from left to right

please help!
Is (2, 10) a solution of y > 4x + 1?


Yes, (2, 10) is a solution of y > 4x + 1.

No, (2, 10) is not a solution of y > 4x + 1.

Answers

Answer:

yes is the answer took the test yesterday

Step-by-step explanation:

A town's population is 43,650. About 125 people move out of the town each month. Each month, 200 people on average move into town. A nearby town has a population of 45,675. It has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question. Which equation mode +​

Answers

Answer:

After 7 months population will be same.

(43425 + 75x) = (45000 - 150x)

Step-by-step explanation:

Population of a town = 43425.

Number of people moving out of the town = 125 per month

Number of people moving in = 200 per month

On an average number of people increasing every month = 200 - 125

                                                                                                = 75

Population of the nearby town = 45000

Number of people moving in = 0 per month

Number of people moving out = 150 per month

Let after x months number of population will be same.

So the equation will be (43425 + 75x) = (45000 - 150x)

1). By solving this equation we can get the number months when the population of both the towns will be same.

43425 + 75x = 45000 - 150x

43425 + 75x + 150x = 45000

75x + 150x = 45000 - 43425

225x = 1575

x = 1575/225

x = 7 months

If school starts at 8:30 a.m. and ends at 3:20 p.m., how long is the school day?

6 hours and 10 minutes
11 hours and 50 minutes
5 hours and 10 minutes
6 hours and 50 minutes

Answers

Answer:

50 min 5 hours

Step-by-step explanation:

Answer: 6 hours and 50mins

Step-by-step explanation:

Need help asapppppp!!!!

Answers

Answer:

..

Step-by-step explanation:

You can easly calculate this.. then compare..

Example :

1/5 = 0.2

1/4 = 0.25

Then 1/4 > 1/5

Distribute and Simplify: (p + 3)5

Answers

Answer:

5p+5

Explanation:

5(p+3)

(5*p)+(5*3)

5p+5

Jane and Chris sell candles to earn money. Jane spent $20 to create her candles and sells candles for $3 each. Chris spent $40 to create his candles and sells candles for $5 each. How many candles will Jane and Chris have to sell in order to earn the same profit?​

Answers

Answer:

10 candles

Step-by-step explanation:

Jane's caldles:

Cost = $20, Price = $3 per candle

Chris's candles:

Cost = $40, Price = $5 per candle

Profit, if equal per x candles is:

3x - 20 = 5x - 405x - 3x = 40 - 202x = 20x = 10

Each will have profit of $10 if 10 candles sell

Nixon estimates it will take him 5 hours to finish an art project.It actually takes him 320% of the time estimated.How many hours did it take him to finish the project?

Answers

Answer:

16hours

Step-by-step explanation:

Amount of hours Nixon took = 5hours

If it takes 320 % of his time, then he took him 320% of 5hrs to finish

This is express as shown

320% of 5

= 320/100 ×5

= 320/20

= 16

Hence it took him 16 hours

Answer:

Step-by-step explanation:

320/100 = 3.2

3.2 x 5

=16

heyheyhey ( I HATE ONLINE SCHOOL STUFF)

Answers

Answer:

Same!

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

plz help will give brainlyest

Answers

top one : frame A.

bottom one : 6 inches

Answer:

Give brainliest to the other person who answered

Step-by-step explanation:

Have a fantastic day!

6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9

Answers

Answer:

6

Step-by-step explanation:

If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.

So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9

36 is divisable by 9, so Δ has to be 6.

The value of the number which will make it divisible by 9 will be 6.

Based on the information given, we've to find a number that will give a value without a remainder.

Therefore, if we use 6, the number will be 678564. Then, we can divide by 9 and it'll be.

= 678564/9

= 75396

Therefore, the number is 6.

Learn more about division on:

https://brainly.com/question/4320580

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