The Lucas numbers are defined by the recursive formula t1 = 2, t2 = 1, tn = tn - 1 + tn - 2, where n âN and n > 2. What are the first 9 Lucas numbers?

Answers

Answer 1

The first two are given to you, [tex]t_1=2[/tex] and [tex]t_2=1[/tex]. Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.

Since the n-th Lucas number is the sum of the previous two Lucas numbers, you have

[tex]t_3 = t_2 + t_1 = 1 + 2 = 3[/tex]

[tex]t_4 = t_3 + t_2 = 1 + 3 = 4[/tex]

[tex]t_5 = t_4 + t_3 = 4 + 3 = 7[/tex]

[tex]t_6 = t_5 + t_4 = 7 + 4 = 11[/tex]

[tex]t_7 = t_6 + t_5 = 11 + 7 = 18[/tex]

[tex]t_8 = t_7 + t_6 = 18 + 11 = 29[/tex]

[tex]t_9 = t_8 + t_7 = 29 + 18 = 47[/tex]


Related Questions

WILL MARK BRAINLIEST!
Simplify 3 - (2x² + 3) + (x² - 2x + 3)

Answers

Answer:

-x^2-2x+3

Step-by-step explanation:

3 - (2x² + 3) + (x² - 2x + 3)

Distribute the minus sign

3 - 2x² - 3 + x² - 2x + 3

Combine like terms

- 2x²  + x² - 2x + 3-3+3

-x^2-2x+3

jordan has 785$ in his savings account. he withdraws 15% of money to pay for school clothes. which is the best estimaye for the amount of money jordan withdraws?

Answers

Answer:

52%

Step-by-step explanation:

you got to divide 15 by 785. First 15 goes into 78 5 times which is 75. Then subtract 78 by 75 which is 3. Then bring down the 5 which makes 35 and then 15 goes into 35 two times which is 30 subtract 35 by 30 which is 5 bring up the 5 into a fraction and the ansewer in percentage is  52%.

Which point is on the line that passes through (0,6) and is parallel to the given line

Answers

Answer:

d) (6, 0)

Step-by-step explanation:

y = -2/12 = -1/6x - 4 = y

New line = y = -1/6x + 6

Plug and test!

0 = -1/6(6) + 6

0 does indeed equal 0

Please answer number 11 thank you!

Answers

Answer:

9 portions and 15 grams in each portion

Amy wants to make 20 cupcakes. She knows 3 cups sugar makes 2 cupcakes. How many cups of sugar will she need

Answers

Answer:

30

Step-by-step explanation:

(20/2)x3

FINAL ROUND!! Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help)

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's solve :

[tex]4a + 7 \leqslant 35[/tex]

[tex]4a \leqslant 28[/tex]

[tex]a \leqslant 28 \div 7[/tex]

[tex]a \leqslant 4[/tex]

PLEASE HELPPPP!!!! Ugh

Answers

1. 180°-∠CBE=90°,90°=∠ABC,90=2x+3x,90=5x,x=18,∠ABD=36°,∠DBC=54°

Write a few sentences discussing where you think the same kind of reasoning skills used in geometry proofs is applied in professional jobs.
Give 2 or more careers that apply. (6 points)
Provide clear reasoning or examples to justify your choices (4 points).

Answers

Answer:

Builder

Step-by-step explanation:

So one pls help plzzzz

Answers

scranton i believe i just learned this too

3 plus four times a number.

Answers

Answer:

3 + 4x

Step-by-step explanation:

Let "a number" be x.

Therefore "four times a number" is 4 multiplied by x which is 4x.

Now add 3 for "3 plus".

3 + 4x

Answer:

Our equation would be: 3 + 4x.

Let's say x=8

That would now make our equation:

3 + 4(8) =

Step-by-step explanation:

But let's solve this equation :)

First, we would add 3+4, to get 7.

Then, we would multiply the 7 by 8.

Lastly, we know 7 x 8 = 56

So, 3+4(8)= 56

But we could also create a function statement out of this.

Our statement for this equation would be:

When x equals 8 the answer or in algebraic terms the "output" is 56.

,  Hope this helps :)

Have a great day!!

let f (X)=3x - 2 ; g(x)= 5x+1 compute the indicated values

a. (fof) (0)
b. (gog) (-7)
c. (fogof) (2)​

Answers

Answer:

PHYLUM PLATYHELMINTHES is a great place to work for

help with top one? thankss

Answers

Answer:

$7.90 per pound

Step-by-step explanation:

11.85/3 = half pound = $3.95

3.95x2 = 7.9 = 1 pound

Cereal is packaged in boxes weighing 24.3 ounces. What is the weight of a
case of 48 boxes of cereal?

Answers

Answer:

1166.4

Step-by-step explanation:

Assuming this is the whole question, you multiply the weight of a single box by the amount in a case to find the weight of a case, hence 24.3*48 =1166.4

1 box of cereal = 24.3

48 boxes of cereal = 24.3 × 48

48 boxes of cereal:-

=> 24.3 × 48

=> 1166.4

Therefore, 48 boxes of cereal weighs 1166.4

Activity 1: rewrite me!

1. write the equation 2x+3y=12into y=mx+b
Solution
2x+3y=12
2x + (____) + 3y = 12+(-2x)
(____)3y=(-2x+12)(____)

y= - ⅔x +4

Given:


Simplified as y= mx+ b

2.write the linear equation y= -2x -1 into Ax + By = C.

solution
y = -2x-1
y +(____) = - 2x + (___) - 1

2x + y = -1

Given:



Questions:
1. how did you write the linear equation y = mx + b to the form Ax + By = C?

2. how did you write Ax + By = C?

3. what mathematical concepts or principles did you apply to write each linear equation to standard form?
to y=mx+b form?

brainlest pag Tama ang sagot plus eh fo-follow ko na din.
nonesen report​

Answers

1) The equation 2y + 3x = 12 in the y = mx + b form is [tex]y = -\frac{2}{3} x + 4[/tex]

2) The linear equation y = -2x - 1 in the Ax + By = C form is 2x  +  y  =  -1

The point-slope form of the equation of a line is y = mx + b

where m represents the slope

b represents the y-intercept

The given equation is:

2x  +  3y  =  12    (Given)

Subtract 2x from both sides

2x  +  (-2x)  +  3y   =  12  +  (-2x)

3y   =  12 - 2x  (Equality property of addition)

3y   =  -2x  +  12 (Commutative property of addition)

Divide both sides by 3

[tex]\frac{3y}{3} = -\frac{2}{3} x + \frac{12}{3} \\\\y = -\frac{2}{3} x + 4[/tex](Equality property of division)

2) Write the linear y = -2x - 1 into Ax + By = C

y   =   -2x  -  1  (Given)

Add 2x to both sides

y  +  2x  =  -2x  + 2x - 1 (Equality property of addition)

y   +  2x   =  -1

2x   +   y   =   -1   (Commutative property of addition)

Learn more here: https://brainly.com/question/19573990


Simplify the algebraic expressions: 9(7x - 7)+(5x - 9)

Answers

the answer would be 68x-72

Answer:

7x-7=0

5x-9=4x

4x(9)=36

x=36

Is 13/19 a rational number

Answers

Yes, 13/19 is a rational number.

All fractionals are rational numbers, making this a rational number. Let me know if you have any questions, thanks!

x^2-17x+70<0 solve the following inequality

Answers

Answer:

the answer is 7<x<10

Step-by-step explanation:

hope dis helped

Helppp meeee pleaseeee !

Answers

Answer:

51.2 degrees Celsius

Step-by-step explanation:

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Answers

Answer Least to Great:
= Chan, Celeb, Lydia, Anya, Ryan, Marcy
Hope this help :D

To undo the exponent we have to take the square root a.true b.false

Answers

Answer:

A

Step-by-step explanation:

Question 5
Which expression is equivalent to the expression shown?
3²x3²
3 x 2 / 2
3 x1-31
3
x
34
3
A

Answers

Answer:

A

Step-by-step explanation:

mrs.price purchases 24 tickets for the students in her class. evaluate the expression t=24 please help I'm stuck and I don't know much​

Answers

Answer:

t(28-8)=      , (28-8)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

just subtract whats in the parenthesis (28 - 8) and its 20

It takes Peter 25 minutes to clean his room. If he finishes cleaning his room at 8:00 P.M., what time did he start cleaning?

Answers

Answer:

7:35 P.M.

Step-by-step explanation:

Answer:

7:35 PM

Step-by-step explanation:

8:00-25 minutes

Anybody know -good- apps/sites to practice for PSAT/SAT ??​ I'll mark a brainliest if you give me a good one

Answers

Answer:

i like to use desmos

it’s my fav calculator to use

or calculator soup

hope this help good luck on your SAT!!!!

Last week, Alan's Diner sold 10 milkshakes with whipped cream on top and 15 milkshakes without whipped cream. What percentage of the milkshakes had whipped cream?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 milkshakes with whipped cream

I NEED THE ANSWER ASAP!!!

Answers

Answer:

b i think

Step-by-step explanation:

NEED HELPPP, ALL MY POINTS

Answers

Answer:

see step by step

Step-by-step explanation:

sqrt 49

sqrt 64

sqrt 81

sqrt 100

perfect squares are always rational numbers because when solving any of these square roots they make whole numbers.

In mrs. Wilson’s math class, the ratio of girls to boys is 5 to 8. If there are 24 total students, how many boys are in the class

Answers

i got 9.3027… rounded to 9 in this case? i hope this helps…

Which expression is equivalent to , if y ≠ 0?

Answers

The value of expression is equivalent to given expression is,

⇒ 126y²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3 √2y³ × 7 √18y

Now, We can simplify as;

⇒ 3 √2y³ × 7 √18y

⇒ 21 √36y⁴

⇒ 21 × 6y²

⇒ 126y²

Thus, The value of expression is equivalent to given expression is,

⇒ 126y²

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer: b

Step-by-step explanation:

The Ferrari Testarossa and the Porsche 911 Turbo are 400 miles apart and headed straight toward each other. The Ferrari is going 120mph, and the porsche is going 130 mph. How many hours will it take for the accident to occur?

Answers

Answer:

1.6 hours

Step by step explanation;

1 hour would make them only 150 miles apart, 60% of 120 and 60% of 130 added together is 150 mph, so 1.6 hours

Hope this helps :)