How do you find the pattern rule of a sequence?

Answers

Answer 1

An example of a pattern rule is "add 3" which means that to find the next term in a sequence, you add 3 to the previous term.

To write a rule for a sequence, you need to identify the pattern. This involves looking at the differences between the numbers and seeing if there is a pattern of increasing or decreasing numbers. Once you have identified the pattern, you can then write a rule that expresses that pattern.

Examples of pattern sequences include the Fibonacci sequence (1,1,2,3,5,8,13,21,34, etc.), the even numbers (2,4,6,8,10, etc.), and the multiples of 3 (3,6,9,12,15, etc.).

To describe the pattern of a sequence, you need to look at the differences between the numbers and the pattern of increases or decreases. For example, in the Fibonacci sequence, the pattern is that each number is the sum of the two numbers before it so 1+1=2, 1+2=3, 2+3=5, etc.

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Related Questions

There are 80 dogs and cats in the animal shelter. The ratio of dogs to cat 5/11 how many of animals are dogs

Answers

Answer:

Step-by-step explanation:

80/16x5=25

The following are Noah's scores on his first ten exams: 89, 90, 79, 92, 80, 94, 86, 91, 82, 89. Calculate the sum of Noah's points
(Only enter the numeric answer - NO WORDS!)
I

Answers

Answer:

872

Step-by-step explanation:

89+90+79+92+80+94+86+91+82+89

A man walks 5m due south and then 12m due East. Find his distance from the starting point.​

Answers

Answer: 13 m

Step-by-step explanation:

distance from starting point = root{(5)^2 + (12)^2 }

=root{ 25 + 144}

= 13

Answer:

        13 m

Step-by-step explanation:

Between south direction and east direction we have right angle, so we can use Pythagorean theorem:

a² + b² = c²

a = 5 m

b = 12 m

c = the distance

[tex]5^2+12^2=c^2\\\\c^2=25+144\\\\c^2=169\\\\c=\sqrt{169}=13\,m[/tex]

f(x) = -2x4 + 2x2 + 3

Answers

Answer:

Step-by-step explanation:

Sry, I didnt not get the answer. But,

www.berkeleycitycollege.edu › ...PDF

Web results

Maximum and Minimum Definition: Definition: Let f be defined in an interval ...

Search in this link u will get it

Can someone help out I’m confused.

Answers

Answer:

y=-2/5x-3

Step-by-step explanation:

the slope is m and the y intercept is b

heyy the answer y= -2/5x-3

(1,5) with a slope of -2

Answers

Answer:

y = -2x + 7 is the equation if that's what you are asking for.

answer:

Linear equation :

y= -2x +7

Step-by-step explanation:

A farmer need five men to clear his farm in 10 days how men will he need, if must finish clearing in 2 days if they work at the same rate

Answers

Answer:

1 person  

Step-by-step explanation:

It is given that a farmer wants 5 persons to complete a work of clearing his field in ten number of days.

We have to find out the number of persons required if the farmer needs to clear his field in 2 number of days.

Therefore according to the information given :

10 days = 5 persons

∴ 1 day = [tex]$\frac{5}{10}$[/tex] persons

So  2 days = [tex]$\frac{5}{10}\times 2$[/tex] persons

                 [tex]$=\frac{5}{5}$[/tex] person

                 = 1 person

Mr and Mrs. Peters give their 8 year old son an allowance of $5 per week. to keep the same ratio of age to allowance, what allowence should they give their 12 year old daughter?

Answers

Answer:

9

Step-by-step explanation:

8-5=3 12-3=9 you subtract 5 and 8 and you get 3 and then you subtract 12 and 3 and you get 9 your answer is 9

Answer: $7.50

Step-by-step explanation: cause it is

Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r and h stands for the height of the cylinder. use 3.14 for pu and round your answers to the nearest tenth

Answers

Answer:

The volume of the cylinder  V =  942 cm³      

Step-by-step explanation:

Step(i):-

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

                              d = 2r

                             r = [tex]\frac{10}{2}[/tex]

                             r = 5 cm

Step(ii):-

The Volume of the cylinder

     V = π r² h

     V = π (5)²(12)

     V = 300π cubic centimeter

     V = 300 × 3.14

    V = 942 cm³

Final answer:-

Volume of the cylinder  V =  942 cm³

     

Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back the money he had pad a total of 9281.25. How long did it take Marcus to pay back the money?

Answers

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

( GRADE 7 ALGEBRA). 5m + 6=_
when m=-3

Answers

Answer:

-9

Step-by-step explanation:

5m+6=

m=-3

substitute 3

5(-3)+6=-9

-15+6=-9

Answer:

-9

Step-by-step explanation:

If m = -3, then multiply -3 x 5 = -15, now add 6 to that which will give you -9.

What's ƒ(g(x)) if ƒ(x) = 3x + 7 and g(x) =6x – 5?

Answers

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8

helpppppppppp this is due in 5 minutes!!

Answers

Answer:

5

4

1

2

8

,.,.,.,.,.,.,.,

The 75 students in the high school band are going on a trip. The total cost of the trip is $1,410. Each student will pay the same amount. How much will each student have to pay?

Answers

It will be around $18.80 because $1410 divided by 75 equals $18.80.

The raito of chocolate covered carmels to choclate corvered cherries in my vault is 5 to 2 if i have 84 choclate covereds cherries how many choclate covered caramels do i have

Answers

Answer: 1 have 210   chocolate covered caramels

Step-by-step explanation:

step 1

The  ratio  of chocolate covered caramels to chocolate covered cherries in my vault is 5 to 2 which can also be written as 5:2

But the number of chocolate covered cherries =84

Total ratio is given as 5+2 = 7

Step 2

such that the total number of chocolate i had  would be gotten from

Ratio of chocolate covered cherries/ total ratio x Total chocolates = Number of chocolate covered cherries. Let X = Total number of chocolates

2/7 x X = 84

x= 84 x 7 / 2 =294

Therefore The number of chocolate covered caramels= ratio of chocolate covered caramels/ total ratio x Total chocolates =

5/7 X 294= 210

The function y=-16x^2+16x+32 represents the height in feet of a firework x seconds after it is launched

Answers

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

Can someone please help me with this?!!

Answers

I believe that you would need to sell 65 shirts

PLEASE HELP !! GEOMETRY

Answers

Step-by-step explanation:

if you want all the questions make this brainlist answer

thank you

If the measure of angle 1 is 110° and the measure of angle 3 is (2x+10)", what is the value of x?
w
1
4
2.
3
50
55
60
Save and Fxit
S

Answers

Answer:

X is equal to 50..

Step-by-step explanation:

as angle 1 and 3 are equal

2*50+10

100+10

is 110

so X is 50

PLS HELP QUICK !!!!!

what is the area of this figure?

Answers

Answer:

400 in²

Step-by-step explanation:

Consider the figure as a triangle on top of a parallelogram. The tic marks on the sides mean that the lengths with the same tic marks are equal.

The area of the parallelogram is 20×16=320

The area of the triangle is (20×8)/2= 80

Add the two areas: 320 + 80 = 400

plzzzzzzz help quick i have 10 mins left!!!
Isaac is making sandwiches for a group of friends. He needs 3 ounces of meat for each sandwich.

Part A: Isaac is not sure how many sandwiches he will be able to make. Write an expression with a variable that represents the amount of meat Isaac needs for his sandwiches. Identify what the variable represents.

Part B: If Isaac has 18 ounces of meat, how many sandwiches can he make? Create an equation and show all work to solve it.

Answers

Answer:

A)

O = 3S

While O is the number of ounces of meat

While S is the number of sandwiches

B)

S= O/3 = 18/3 = 6 Sandwiches

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 2626 thousand dollars and 2 22 thousand dollars, respectively. Suppose we select one of these cars at random. Let X = X=X, equals the sale price (in thousands of dollars) for the selected car.

Answers

Complete question :

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X represent the sale price (in thousands of dollars) for the selected car.1. Find P(26< X<30) You may round your answer to two decimal places

Answer:

0.48

Step-by-step explanation:

Mean, m = 26000 ; Standard deviation, s = 2000

P(x < x)

Zscore = (x - m) / s

P(26< X<30) ;

P[(26 - 26 / 2) < (30 - 26) / 2)]

P[(0 < Z < 2)]

P(Z < 2) - P(Z <0)

Using a z table of z calculator, we can obtain the probabilties of the Z value :

0.97725 - 0.5

= 0.47725

= 0.48 ( 2 decimal places)

Write your answer as a decimal or whole number % of 80 =60

Answers

Step-by-step explanation:

number = 15/2 or 7.5

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

What is six and eighty-seven thousandths

Answers

Answer:

6.087

Step-by-step explanation:

0.000

^ones

   ^tenths

      ^hundredths

        ^thousandths

Answer:

depends how u want ur answer... :|

6.087

6 and 870

Hope that helps! :)

Step-by-step explanation:

help please!! I need an explanation

Answers

Step-by-step explanation:

A triangle's angles add up to be 180 degrees, so you can create an equation to be 180= 130+5x. (the 5x is 2x + 3x)

subtract 130 from both sides and get 50=5x, divide both sides by 5, x is equal to 10.

I'm not sure which angle is angle a, but if you substitute x with 10, you can find the measure of the angle, so if it's 2x, 2(10)=20 and if 3x, 3(10)=30

The total sum of angles in a triangle is 180°

2x + 3x + 130° = 180°

5x + 130° = 180°

5x = 180° - 130°

5x = 50°

x = 50° / 5

x = 10

Hope it helps!

Help please!!!!!!!!!!!!!!!!!! marking brainliest for correct answer!!!!!!!!!!!

Answers

Step-by-step explanation:

angle 2 = 49

angle 1 = 131

angle 3 = 112

plz mark my answer as brainlist.hope this will be helpful to you ☺️.

if f(x)=325(.96)^x find f(6)

Answers

9514 1404 393

Answer:

  about 254.40

Step-by-step explanation:

Put the value where x is and do the arithmetic. (Any scientific or graphing calculator can do this for you.)

  f(6) = 325(0.96^6) ≈ 254.40

A drug company testing a pain medication wants to know the impact of different dosages on patients' pain
levels. They recruited volunteers experiencing pain to try one of 6 different dosages and then rate their pain
levels on a scale of 1 to 10. Here are the results:

Answers

Answer:

A

Step-by-step explanation:

I took the same khan Academy Quiz

The graph which best represents graph A thus option (A) is correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

As per the given data and graphs.

A good scatter plot will be having a reasonable scale on the x and y-axis.

In the graph, The average pain level is in the range of 2 intervals and dosage in 50 intervals as the data also have close to this range.

Thus, graph A represents the best scatter plot.

Hence "The graph which best represents graph A".

To learn more about graphs,

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The missing graphs are attached below,

Solve for all values of x by factoring.
x2+ 13x + 43 = 1

Answers

Answer:

Move 1 to the left side of the equation by subtracting it from both sides. Subtract 1 from 43.

HELP ASAP
Free response
Question:
Sheri is making a cylindrical-shaped cake for her son's birthday. The cake will be 4 inches tall and 12 inches in diameter.
What will be the volume of the cake? Use 3.14 for pi. Round to the nearest whole number.

Answers

452.2 cubic inches!!
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A stock index is currently trading at 50. Paul Tripp, CFA, wants to value 2-year index options using the binomial model. The stock will either increase in value by 20% or fall in value by 20%. The annual risk-free interest rate is 6%. No dividends are paid on any of the underlying securities in the index.1) Construct a two-period binomial tree for the value of the stock index.2) Calculate the value of a European call option on the index with an exercise price of 60.3) Calculate the value of a European put option on the index with an exercise price of 60.4) Calculate the intrinsic value and time value of the European put option on the index with an exercise price of 60.5) Confirm that your solutions for the values of the call and the put satisfy put-call parity.6) If the stock index is paying dividend, how would it affect the about put-call parity? (construct portfolios to show arbitrage opportunities) The husband of a client with terminal cancer is afraid of hurting his wife during sexual intercourse. Which action by the nurse is likely to be most helpful in reducing this client's fears?Encourage discussion between the husband and wife regarding their intimacy needs Let L be a CFL and, w a string. Prove that the following language is a CFL.Lw = {v L | v does not contain w as subtring} to determine whether a search has taken place, the court evaluates the defendants expectation of privacy. a movie theater is an example of a continous process true flase consider the function f(x)=2x^3 18x^2-162x 5, -9 is less than or equal to x is less than or equal to 4. this function has an absolute minimum value equal to people report feeling better after taking medication even though it hasn't had time to be effective. they are experiencing ____________. find the parametrization c(t)=(x(t),y(t)) of the curve y=2x2 which satisfies the condition c(0)=(4,32) and x(t)=t+a for some numerical choice of a. x(t)=t+a= help (formulas) y(t)= help (formulas) the drawing shown contains the intersection of two lines the measure of 1=3x+37 and the measure of 2=5x-13 Consider the operating of writing a 1 into a 1T DRAM cell that is originally storing a 0. Sketch the relevant circuit and explain the operation. In Problems 7-10, a fair coin is tossed four times. What is the probability of obtaining:9. At least three tails?11. No heads? write a letter to the post master general Post office dehradun camplaning of late delivery of letter you are murli/Mohini Subhash Nagar dehradun You hedged your financial firm's exposure to declining interests by buying one June call on Treasury bond futures at a strike price $105,000 and paid $7,000 option premium. If June arrives and the Treasury bond futures settlement price is $103,000, what is your net profit or loss from the call option? a. Net gain of $7,000 b. Net loss of $9,000 c. Net loss of $7,000 d. Net gain of $9,000 Normalize the following vectors.a) u=15i-6j +8k, v= pi i +7j-kb) u=5j-i , v= -j + ic) u= 7i- j+ 4k , v= i+j-k what is for negatively supercoiled 1575 bp dna after treatment with one molecule of topoisomerase i? Calculate the approximate freezing point of the following aqueous solutions (assume complete dissociation for strong electrolytes): (b) 0.500 m C6H12O6 You are doing a peer review of a science experiment. The paper claims that an increase of pressure requires a grateer additional of thermal energy to change a liquid to a gas. Why this is true? chlorine has two stable isotopes, and . calculate the binding energies per mole of nucleons of these two nuclei. the required masses (in g/mol) are = 1.00783, = 1.00867, = 34.96885, and = 36.96590. medical air compressors that are designed to seperate the oil containing section from the compression chamber shall be provided with a coalescing filter with a ______? what can be done to alleviate the gag reflex when taking alginate impressions-use fast-set alginate -do not overload posterior region of tray -have patient take deep breaths through the nose