I'm stumped on how to do this, it's worth 10 points and I'll give you Brainliest if you answer right
Maria creates a sequence of integers where the first and second terms are both 1. At each step she adds the last two terms she has obtained. If the sum is less than 9, then she enters that sum as her new term. Otherwise she subtracts 8 from the sum and records that. Her sequence therefore starts 1, 1, 2, 3, 5, 8, 5, 5, . . . Find the 2020th term in the sequence.

Answers

Answer 1

Answer:

The 2020th term is 3

Step-by-step explanation:

Recursive Sequence

We are given a recursive and conditional sequence where each term depends on two previous terms and a rule.

Each term is the sum of the two previous terms. But if that sum exceeds 8, then 8 is subtracted.

The first terms are, therefore:

1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, 1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, ....

Note the sequence repeats itself at term 13, that is:

a13=a1, a14=a2, a15=a3 and so on.

To find any given term, it's just a matter of calculating the remainder of that number of the term divided by 12.

For example, the term number 100 is calculated by dividing 100/12=8 (only the integer part).

Since 8*12=96, the remainder is 100-96=4

Thus, a100=a4=3

The term 2020 is calculated now:

2020/12 = 168 (integer only)

168*12=2016

The remainder is 2020-2016=4, thus

a2020 = a4 = 3

The 2020th term is 3


Related Questions

Find the missing slant height

Answers

Answer:

[tex]\ell=\frac{77}{4}[/tex]

Step-by-step explanation:

Because these two cones are similar, we can set up the following proportion:

[tex]\frac{11}{4}=\frac{\ell}{7}[/tex]

Solving, we get:

[tex]\ell=\frac{7\cdot11}{4},\\\ell=\fbox{$\frac{77}{4}$}[/tex].

????????????????????

Answers

Answer:

180 - y

Step-by-step explanation:

The exterior angle is equal to 180 minus the interior angle.

Answer:

The total angle a triangle have is 180

so now subtract it by 50

180-50 = 130

and the other angle we get is by subtracting 180-92 which is 88

y=88 degree

now x=180-(88+50)

=42

so x=42

HELP I HAVE TILL 12 AND IRS IN 20 MINUTES

Answers

35 degrees I believe

find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2)

Answers

Answer:

2x^2yz + 3xy^3z - 3xyz^3

Step-by-step explanation:

First you must distribute:

xyz(2x) + xyz(3y^2) + xyz(-3z^2)

Then simplify:

2xyxx + 3xyzy^2 - 3xyz * z^2

And finally simplify each term:

2x^2yz + 3xy^3z - 3xyz^3

What is the probability of the complement of spinning an even number by using the spinner below?

A spinner is split into 8 equal parts labeled 1, 2, 3, 4, 1, 2, 3, 5.
StartFraction 3 over 8 EndFraction
One-half
StartFraction 5 over 8 EndFraction
StartFraction 7 over 8 EndFraction

Answers

Answer:

C

Step-by-step explanation:

1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf

Answers

Answer:

2x + 7= 4x + 17

7=2x+17

-10=2x

-10/2=2x/2

x=−5

f(x)=3x-5 please help :>

Answers

Answer:

x= 5/3?????

Step-by-step explanation:

try using math

way

Solve the following inequality:
2. 4x + 6 < 38

Answers

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8

wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month?

Answers

Answer:

59

Step-by-step explanation:

1) so you start with the mean being 72x5=360

2)100+42+87+66=295

3) 360-295=65

(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help

pression
Evaluate the expression -0.4(3x - 2) + 2 + 4 for x=4

Answers

Answer:

2

Step-by-step explanation:

In this question, we will have to solve the expression with our given variable.

Plug in 4 to x and solve:

-0.4(3(4) - 2) + 2 + 4

-0.4(12 - 2) + 2 + 4

-0.4(10) + 2 + 4

Evaluate -0.4(10):

-4 + 2 + 4

-2 + 4

2

Your final answer would be 2.

plzzz guys help I'm so confused

At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 4.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.​

Answers

Answer:

y = 320,000 ( 1.048 ) ^x

x = number of years

(the  ^  before the x symbolizes "to the power of," but I can't do that on my keyboard)

Step-by-step explanation:

formula i used:

A = amount that you start with

t = amount of years / time

%increase: you must convert your percent (4.8%) to a decimal (0.048)

A ( 1 + %increase ) ^t

Answer:

y = 320,000(1.048)^t  

Step-by-step explanation:

4.8% = 0.048.

The population grows by 1.048 per year.

The required equation is:

y = 320,000(1.048)^t

The following points are dilated at a center at point C by each of the following scale factors.
Plot and label the image points.

(a) A is dilated by a scale factor of 3.
(b) B is dilated by a scale factor of 2.
(b)D is dilated by a scale factor of 1 1/3
(d) E is dilated by a scale factor of 0.5.

Answers

Answer:

(a) A is dilated by a scale factor of 3.

Step-by-step explanation:

where the imagine

can you find the coordinates for K’

pls thank you

Answers

Answer: (3, 7)

Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)

Have a nice day! :)

What is the sum of an even number plus an odd number? please explain in detail only please, everyone is saying its always odd, others are saying its always even, shouldn't it be both I mean jesus

Answers

Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

51+32=83

The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

help me or dont lol but please help me

Answers

27° i'm pretty sure.

What is the sum or difference of 10 + (-11) + 5 + (-5)?

Answers

Answer:

-1 is the answer

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

10 + (-11) + 5 + (-5)

=10 - 11 + 5 - 5

=10 - 11

= -1

hope this help, if this don't forget to click the " thanks" button! :)

i need help with this !!!!

Answers

Answer: D
Explanation: If you try A, B, and C, you’ll find they are all correct, however D seems to be false.

How can i get an equation that shows the relationship below Plz its for a test for tomorrow X. Y. -2. -6 -1. -3 0. 0 1. 3 2. 6

Answers

Answer:

x = 3y

Step-by-step explanation:

In tabular form, the variables are given as;

x     y

-2    -6

-1     -3

0      0

1      3

2     6

To determine relationships between variables, you observe the numbers and note how they change

In the first instance, the number; -2 changed to -6. This means it was multiplied by 3.

To confirm it, we check the next set of numbers, -1 and -3. This means it is correct.

The equation showing the relationship between both variables is given as;

x = 3y

Six rolls of fabric are used for making five dresses equally.

How much fabric is used for each dress?

Answers

Answer:

1.2 rolls

Step-by-step explanation:

6 rolls=5 dresses

1.2 rolls             =1 dress

hope i helped:)

Evan ran for 28 minutes. Seth ran for 'y' minutes. Evan ran twice as long as Seth. How long did Seth run?

A 28 minutes
B 56 minutes
C 14 minutes
D 30 minutes​

Answers

Answer:

14 just divide 28 ÷ 2.....

14 just divided 28 by 2

Find the value of 42 + 6 ÷ 2

Answers

Answer:

The answer isn't 24 the actual answer is 54.

Step-by-step explanation:

PEMDAS!

Please please help me!!!!

Answers

9514 1404 393

Answer:

yy+8y-2

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

Graph y = 3/4x + 2
Im cray-zee for not knowing this lol

Answers

Answer:

*give credit to Desmos

Step-by-step explanation:

What is the equation of the line that passes through the points 1/2/3 and (-1,-1

a.y=-6x+5

b.Y=5/6X-1/6

C.Y=2/3X+1/5

D.y=6/5x+1/5

Answers

Answer:

(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1

(-1 - 2/3) / (-1 -1) (answer both sides of the division side)

-5/3 / -2  (divide)

slope = 5/6  (the slope)

plug in values you know into point-slope form (y -y1) = m(x-x1)

y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )

y +1 = 5/6 (x +1)  (use the distributive property)

y +1 = 5/6x+5/6  (subtract 1 from both sides)

y = 5/6x - 1/6  or B (this is the equation)

Step-by-step explanation:

I hope this helped :))

A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days

Answers

9514 1404 393

Answer:

  60 inches

Step-by-step explanation:

The total amount of rain received was ...

  (2 in/day)(3 day) = 6 in

The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...

  (6 in rain) × (10 in snow)/(1 in rain) = 60 in snow

The city would have received 60 inches of snow.

2/7 (14 h + 7/2) - 3h = 9
PLEASE HELP ME.. I HAVE THIS DUE TODAY

Answers

the answer is h=8 hopefully i’m right

Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.

Answers

Answer:

She can order 4 computer games.

Step-by-step explanation:

110-10=100

100÷25=4

please help im so lost lol

Answers

Answer:

B, C, and E

Step-by-step explanation:

6(x+4)+35

B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)

C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)

E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)

Answer:

I Honestly Dont Know Sorry haahahhahaha Go F ur self

Step-by-step explanation:

Find the value of w°

Answers

Answer:

w = 59

Step-by-step explanation:

90 + 31 +w = 180

121 +w = 180

w = 180 - 121

w = 59

2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson's weight after
m months.
b. After how many months will Mr. Thompson reach his goal
weight of 220 pounds?

Answers

a. w = -4m + 260

b. 10 months

Other Questions
PLS PLS PLS HELP ME I NEED ThIS DONE FAST PLEASEEEDirections Part TWO: Create a short story about your life as a droplet of water. Water can exist in many locations at any point in time. Pick any location or step of the water cycle to begin your journey. Your starting point could be a cloud, ocean, river, deep ground water etc. Choose a starting location and then fully explain with detail how you will travel throughout the entire water cycle. Be sure to include any changes in your heat energy along the way. You must include the following terms Evaporation, Condensation, Precipitation, Run-off, Collection, Deep groundwater, Increased heat energy, Decreased Heat Energy, Gas, and Liquid) Goodluck!!!Its a simple assignment but i dont know what to say pls help me What was one important way shopping changed at the turn of the 20th centuryPLEASE HURRY I WILL MARK BRAINLIEST ! what evidence shows that Cyrus was fair and open-minded integers between -9 and -2 Which of Indias regions is the most highly populated?A.the Himalayan MountainsB.the Ganges River ValleyC.the mouth of the Tonle Sap RiverD.the island of JavaPlease select the best answer from the choices providedABCD What are the three key elements of the Monroe Doctrine? You went to BW3, your total bill was $56.47, if you want to give an 18% tip, what's your final bill? The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt? _____ means controlling one's self to an appropriate degree A. Enlightenment B. Hinduism C. Buddhism D. Moderation Please select the best answer from the choices provided A B C D In VWX, x = 160 cm, v = 150 cm and W=77. Find the length of w, to the nearest centimeter. PLEASE HURRY This is a true story and never give up on your hopes and dreams and do you believe in God and Jesus I do I believe in God and Jesus and always will because no one can take that away from me I pray for everyone because i care and i pray for the ones that are sad and need someone the most and i pray for the angles to look after us and i pray for someone i really really care about and i really miss her shes an old lady that cares for me and cry's every time so i pray for her and shes like a mom to me she knew me ever since i was born and she will always sing me lullabies and she will always sing me my little sunshine and it makes me sad every night i think about her i got taken away from my family when i was 5 and i was turning 6 and then like when i was like 8 or 9 i told my mean foster mom about her and then they talked to the CPS and i got to go with her and then i went back to my mean foster mom and then in 2016 November 16 after my birthday i got adopted to a family that cares for me and loves me and i thought i wasn't going to find a family but i didn't give up my hopes and so i did find a family and now im 14 and im happy now and i will never stop believing and i will still care and pray for others but yea God bless you What is 8^6 8 simplified PLEASE HELP ASAP I AM WILLING 10 pointsYou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.The following payroll deductions were taken from your gross pay:Federal income tax (withholding) at 10%Social Security tax at 6.2%Medicare tax at 1.45%Use the check stub below to help you think through the problem.You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.check stubThe amount for NET PAY for this pay period was $ HELP IOLL MARK U BRAINLIEST I SWEAR Many of the oil-rich countries in the Middle East are also rich inA copperB goldC. ironD. natural gasPlease select the best answer from the choices providedAB0 Help pls!! Find the value of DB and AE if the answer is correct write correct. If it wrongs write the correct answer with the letter and sentence. meaning of rhapsody HELPPPPP!!!Will give brainliest For which pair of points can you use this number line to find the distance?42 35 6-2 -1 0 17 8(-4, 1) and (7,4)(-4, 1) and (-4,7)(-1, 4) and (4,7)O (-4, -1) and (-4,-7) PLs, i need this done asap pls pls pls u will get brainliest or whatever u need.