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

What is the slope of a line that passes through the origin and the point (-2,1)?

Answers

Given:

A line passes through the origin and the point (-2,1).

To find:

The slope of the line.

Solution:

If a line passes though two point, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is

[tex]m=\dfrac{1-0}{-2-0}[/tex]

[tex]m=\dfrac{1}{-2}[/tex]

[tex]m=-\dfrac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].

the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle

Answers

Answer:

The length of the other leg of the triangle is 30 inches.

Step-by-step explanation:

Pythagorean: a^2+b^2=c^2

50=hypotenuse

50^2-40^2=missing leg

50^2=2500

40^2=1600

50^2-40^2=900

[tex]\sqrt{900}[/tex]=30

30 is missing leg

The length of the other leg of the triangle is; 30 inches.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.

Using Pythagorean:

[tex]a^2+b^2=c^2[/tex]

50 = hypotenuse

Let the missing length is x.

x² = 50^2-40^2

x² = 2500 - 1600

x²  = 900

x =30

Hence, the length in inches of the other leg of the triangle is 30.

Learn more about a right angle;

https://brainly.com/question/7116550

#SPJ2

The money used in Tajikistan is called the
Somoni. The exchange rate is $7 = 22
Somoni. Find how many
dollars
you
would receive if you exchanged 66
Somoni.
O $16
O $18
O $207,43
$21

Answers

You will receive $21 if you exchanged 66 Somoni.

Plz Plz plzzzzzz answer​

Answers

Answer:

c i think

Step-by-step explanation:

also i like anime to!

Answer:

c I think I might be wrong tho

HELP PLA I NEED HELP

Answers

x=20

x=5 root under 3

x=4 root under 2

Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 5.
How many different sets of 4 digits could it be?

Answers

800 different sets of digits


Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

Answer:

800 different 4 digit passwords can be the pin

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5.

These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have

10 digits permuted in 1 way,  and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way,

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is

4 × 10 × 10 × 2 = 800 different sets of digits

35 divided by 1 3/4 and 5

Answers

Answer:

25

Step-by-step explanation:

Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3

Answers

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

IF U ANSWER THIS CORRECTLY I WILL MARK U BRAINLIEST AND GIVE YOU 20 NOTIFICATIONS!!!!! (the good notifications)

Moussa is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?

Answers

Answer:

After 6 minutes the temperature would be 190 degrees.

Step-by-step explanation:

6 x 20 = 120 + 70 = 190.

Answer:

(Answer Below)

Step-by-step explanation:

Brainliest are appreciated. I don't want 20 notifications. I prefer if you buy me a biteable account. Costs $19.

How much is 47% of 47% of 47% of 47% of $60? Round your answer to the nearest penny.
AND PLEASE LET ME KNOW HOW YOU SOLVED IT!!

Answers

% means “divided by 100”
”of” means “times” or ×.

47% of 47% of 47% of 47% of $60 = 0.47×0.47×0.47×0.47×$60 = 0.47^4 ×$60 ≈ $2.93

John went to the store and bought 4 pencils
and 10 binders and spent $64. Carmen went
to the same store and bought 7 pencils and 4
binders and spent $31. If Lisa wants to buy
pencils and binders from the same store,
how much should they tell her each item
costs?

Answers

You would have to use system of equations for this problem.
X= pencils and Y= binders
4x + 10y = 64
7x + 4y= 31
Pencils are $1 each and binders are $6 each.

Which of the following statements is true?

Answers

Answer:

B - (0,0) is a solution to n = m and to n = 4m

Step-by-step explanation:

The only place where a number meets the same value multiplied by 4 is at (0,0). Otherwise it's just the same function just with a different slope

what is 46274648354846374 times 77466​

Answers

3.5847146e+20

:)))))))))))))

6th grade math!!!!!!!!!!!​

Answers

Answer:

8(y-3) and 8y-24

Step-by-step explanation:

The parentheses mean that you're multiplying 8 and the difference of y and 3.

If you carry out the distributive property, you'll get 8y-24

Answer:8(y-3) and 8y-24

Step-by-step explanation:

I've had this problem before on a different test!

What is a power function and what restrictions does it have?

Answers

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Step-by-step explanation:

solve for x. round to the nearest tenth.

pls help.

Answers

Answer:

x = 7.2

Step-by-step explanation:

you can use the cos of 63 and set it equal to adjacent / hypotenuse

cos 63° =  x  

                16

.45 =  x  

         16

x = 16(.45)

x = 7.2

3y + x = 12
What is the value of x when y = 3?

Answers

Step-by-step explanation:

3y + x = 12

When y = 3, we have 3(3) + x = 12.

=> 9 + x = 12, x = 3.

Which fraction and decimal forms math the long division problem

Answers

Answer:

4/15 and 0.26

Step-by-step explanation:

Here, we want to write the fraction and decimal that matches the division problem

The division problem is simply 4/15 in fraction

In decimal, this is 0.2667

430 were sold.
4.25 for soda
5.50 for popcorn
the total is 2077.50
how many of each were sold? ​

Answers

Answer:

Soda = 230

Popcorn = 200

Step-by-step explanation:

(4.25 x 230) + (5.50 x 200) = 2,077.50

230 + 200 = 430

Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and y represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 275 pizzas?

Answers

Answer:

Pizza parlor's profit = $515.344

Step-by-step explanation:

Given that:

Linear regression line for pizza parlor's profit

y = 2.009x - 37.131

x represents the number of pizzas sold

y represent the profit in dollars

Profit for 275 pizzas

Putting x = 275 in given equation

y = 2.009(275) - 37.131

y = 552.475 - 37.131

y = 515.344

Hence,

Pizza parlor's profit = $515.344

Please help me on this

Answers

9514 1404 393

Answer:

number of cups purchasedtotal monthly costtotal monthly costnumber of cups purchasedM(x) = 2x +15M(13) = 4113 cups purchased in a monthhave a total monthly cost of $41

Step-by-step explanation:

When you have a wording that matches ...

  A depends on B

It means that A is the dependent variable, and B is the independent variable.

Here, the total monthly cost depends on the number of cups purchased.

That statement tells you that "total monthly cost" is the dependent variable, and "number of cups purchased" is the independent variable (x).

The first four (4) blanks you're to fill represent two different ways of saying this same thing.

__

The equation is a mathematical expression of the way the costs add up.

  total monthly cost = (program cost) + (per-cup cost) × (number of cups)

  M(x) = 15 + 2x

Then M(13) is ...

  M(13) = 15 + 2·13 = 15 +26 = 41

So the total monthly cost for the purchase of 13 cups of coffee is $41.

the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height

Answers

Answer22:22

Step-by-step explanation:

move the numbers to the lines to appear in order from least to greatest.

_,_,_,_,_
|-2/3| , |0.8| , 0.75 , 1/4 , -0.3​

Answers

-2/3, -0.3, 1/4, 0.75, 0.8

Adidea Corp regularly buts merchandise from vendors. It just purchased 1,000 units on credit from one of its vendors. How will the company record this transaction

Answers

Answer:

You did not include the price they bought the units at.

I will assume this price is $5.

= 5 * 1,000

= $5,000

Recording it will be:

    Account                                                           Debit                     Credit

    Merchandise Inventory                                 $5,000

          Accounts Payable                                                                 $5,000

it is in the picture

Answers

Answer:

C.x+8=3x

hope it helps.

math work is hard pt1

Answers

Answer:

1. y = 3x - 2

2. [tex]y = \frac{1}{2} [/tex]

3. [tex]y = \frac{3}{2} x + 4[/tex]

4. y = -3x + 5

5. y = x - 6

Happy To Help <3

Here is a rectangle ABCD.
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.

Answers

Answer:

it will increase 5 percent

Answer:

8%

Step-by-step explanation:

There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.


(a) What is the ratio of all apples in the basket to red apples?

(b) What is the ratio of red apples to green apples?

Answers

Answer:

A) 13:8

b) 8:5

Step-by-step explanation:

In this question, we will be making ratios.

Ratios are represented as a:b whereas "a" and "b" represent the different scenarios.

(a) What is the ratio of all apples in the basket to red apples?

In this question, we need to make ratio with total apples and red apples.

We will write the ratio in respective order, or from left to right in the statement.

We know that our total amount of apples is 13, so that would go on the left side of the ratio.

We need to find the amount of red apples in the basket. We already have 5 green apples, so subtract 5 from 13.

13 - 5 = 8

We have 8 red apples, so that would go on the right side of the ratio.

Your ratio should be:

13:8

(b) What is the ratio of red apples to green apples?

In this question, we have to make a ratio of red apples to green apples.

We know that there are 8 red apples, we also know that there's 5 green apples.

With this information, we can make our ratio:

8:5

What is the constant in the expression 12q + 9e + 15

Answers

Answer:

Step-by-step explanation:

the constant in this expression is 15

15 is the correct answer.

What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)

Answers

Answer:

I thin B -7 cause its negative and negative goes down.

Step-by-step explanation:

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