Answers
Answer:
Each term is a sum of the two previous terms like the fibonacci sequence, but the sum of the two starting terms of the lucas sequence is followed by 2 then 1, rather than 0 then 1 for the fibannaci sequence.
These are integer sequences.
The sum of the two previous terms can be represented by:
fn = fn-1 + fn-2.
These numbers can be obtained by adding the previous corresponding term of the fibonacci sequence by the next corresponding term to get the corresponding number of the lucas sequence.
Ln = { 2 if n = 0
1 if n = 1
Ln-1 + Ln-2 if n > 1
________________
Fn+1 + Fn-1 = Ln
___________________
f(0) = -1
f(1) = 2, f(2) = 1, f(3) = 3, f(4) = 4, f(5) = 7, f(6) = 11
________________________________
f(12) = 199
________
f(12) = f(11) + f(10) = (f(10) + f(9)) + (f(9) + f(8)) = .....
given f(n) = f(n-1) + f(n-2)
____________________
f(12) = f(1) + f(2) = f(2) + f(3) = f(3) + f(4) =
f(4) + f(5) = f(5) + f(6) = f(6) + f(7) =
f(7) + f(8) = f(8) + f(9) = f(9) + f(10) =
f(10) + f(11) = f(12) →
f(12) = 2 + 1 = 1 + [3] = 3 + [4] = 4 + [7] =
7 + [11] = 11 + [18] = 18 + [29] = 29 + [47] =
47 + [76] = 76 + [123] = 199
_____________________
Explicit formula
for n is an integer.
Nth term of the lucas sequence.
As you can see, the golden ratio
( 1 + √5 / 2) appears in here.
L(n) = ((1 + √5) / 2)ⁿ⁻¹ + ((1 – √5) / 2)ⁿ⁻¹
Related Questions
I'm really really confused
Answers
Answer:
I'm just as confused as you are. I suck at math
Step-by-step explanation:
Traci starts running on a trail and can run a mile in 10 minutes. Hannah starts running from the same spot 20 minutes after Traci. If Hannah can run a mile in 8 minutes, how many miles would she have to run to catch up with Traci?
Answers
Answer:
Yoni will catch Traci after 20 minutes.
Step-by-step explanation:
If it is equal to (or) greater than 5, add ___ to previous digit.
(a) 1
(b) 0
(c)10
Answers
Answer:
(b) 0 is the right answer....Andrea had $43.50 to spend on groceries. After buying 4 boxes of cereal, she had $27.70 left. If each box of cereal costs the same amount, what is the price of one box of cereal.
Answers
Answer:
$3.95 each
Step-by-step explanation:
43.50-27.70 = 15.80
15.80/4 = $3.95 each
A trapezoid has an area of 40 square feet. It also has a base of 6 feet and 10
another base of 4 feet. What is the height?"
Answers
Answer:
[tex]h = 8 \: ft[/tex]
Step-by-step explanation:
Height of trapezoid formula:
[tex]h = 2 \times \frac{area}{a + b} [/tex]
Given:
Area: 40 square feet
a: 6 feet
b:4 feet
Using the given information,
[tex]h = 2 \times \frac{40}{6 + 4} [/tex]
Add the numbers in the denominator
[tex]h = 2 \times \frac{40}{10} [/tex]
Reduce the fraction with 10
[tex]h = 2 \times 4[/tex]
Answer:
[tex]h = 8 \: feet[/tex]
(-2,9) reflected over the the x-axis
Answers
Step-by-step explanation:
starting from point 0, go to the left 2 spaces, then up 9.
A^3=5 b^3=4 Find value of (ab^2)^-3
Answers
Answer:
1/80
Step-by-step explanation:
(ab²)^-3 = (a^-3)(b^-6) = [tex]\frac{1}{5}[/tex]b^6
[tex]\frac{1}{5}[/tex]b^6 = 1 /[5(b³)²] = 1 / (5·4²) = 1/80
find the area
please help
;-;
Answers
Answer: 118.54
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing side.
Round to the nearest tenth
10 m
7.5 m
Answers
The fourth one 12.5!
It's self-explanatory, hope this helps!
can you please tell me a detailed explanation to solve this:
logx=3log2+2log3
Answers
Please leave a thanks <3
What is the volume of
4 m
6 m
10 m
6 m
What is the volume of this composite solid?
Answers
Answer:600
Step-by-step explanation:
9. Which of the following could be the areas
of the three squares below?
A. 12 f12, 16 f12 and 20 f12
B. 10 f12, 18 ft2 and 30 ft2
C. 4 ft2, 5 ft2 and 12 ft2
D. 8 f12, 16 f12 and 24 ft2
Answers
Answer:
letter A po angsagot terror
Investment: Suppose that you and 3 friends bought equal shares of an investment for a total of $20,000 and then sold it later for only $19,600. How much did each person lose?
Please help me
Answers
Answer:
$29.4294294294
Step-by-step explanation:
A recipe uses 5 cups of milk to make 20 servings. If the same amount
of milk is used for each serving, how many servings can be made from
two pints?
1 gallon 4 quarts
1 quart 2 pints
1 pint 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question
below.
How many cups will you need to find the number
of servings for?
Answers
Answer:
16 servings
Step-by-step explanation:
The recipe would use 2 pints or 4 cups of milk. 1 cup of milk is equal to 4 servings (20/5 = 4), so 4 cups would make 16 servings.
1 pint is equal to 2 cups so 2 pints will be 4 cups.
The number of servings 2 pints will make is 16 servings.
What is a unit rate?A unit rate means a rate for one of something.
It is written as a ratio with 1 as the denominator.
We have,
5 cups of milk = 20 servings
Multiplying 1/5 on both sides.
1/5 x 5 cups of milk = 1/5 x 20 servings
This means,
1 cup of milk = 4 servings
We know that,
1 pint = 2 cups
Multiplying 2 on both sides
2 x 1 pints = 2 x 2 cups
2 pints = 4 cups
If,
1 cup = 4 servings
4 cups = 4 x 4 servings
4 cups = 16 servings
Thus the number of servings 2 pints will make is 16 servings.
Learn more about unit rates here:
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Daniel bought a bag of marbles at the school garage sale it contains five red marbles four yellow marbles five Green marbles and to blue marbles marbles were all the same size and shape if Daniel reached into the bag and pulled out a marble without looking what is the probability it was not blue
Answers
Answer:
Because blue has the least amount of marbles in there
Step-by-step explanation: Because Blue has 2 blue marbles which are smaller than any one of the rest of the marbles. Ur welcome
Mark as brainlyest?
The probability of getting not blue marble is [tex]\frac{7}{8}[/tex].
What is probability?
Probability is a measure of happening or non-happening of the outcomes of a random experiment.
Probability formulaP(E) = number of favorable outcomes/ total number of outcomes
According to the given question.
Total number of red marbles = 5
Total number of yellow marbles = 4
Total number of green marbles = 5
Total number of blue marbles = 2
⇒ Total number of marbles = 5 + 4 + 5 + 2 = 16
So, total number of outcomes = 16
Now, probability of getting blue marble = [tex]\frac{2}{16} = \frac{1}{8}[/tex]
Therefore, the probability of getting not blue marble = [tex]1 -\frac{1}{8} =\frac{7}{8}[/tex]
Hence, the probability of getting not blue marble is [tex]\frac{7}{8}[/tex].
Fond out more information about probability here:
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An expression is shown.
8 × (3.8 + 13.2) - 6
What value is equivalent to the expression?
Answers
Answer:
130
Step-by-step explanation:
3.8+13.2=17
8x17=136
136-6=130
The slope of the graph of y = x is
0
2
1
Ο Ο
-2
Answers
Answer:
I think the answer is 1.
If it is wrong sorry
If f(x) = 2x - 6 and g(x) = x3, what is (g x f) (6)
Answers
Answer:
36x² - 108x
Step-by-step explanation:
(g x f) (6)
((3x) x (2x - 6)) (6)
6x² - 18x (6)
36x² - 108x
solve this system using elimination. 3x - 4y = -5, -10x + 4 = 12
Answers
Answer:
x = -4/5, y = 13/20
Step-by-step explanation:
-10x + 4 = 12
-10x = 8
x = -4/5
3x - 4y = -5
3(-4/5) - 4y = -5
-12/5 - 4y = -5
-4y = -13/5
y = 13/20
Double check:
3x - 4y = -5
3(-4/5) - 4(13/20) = -5
-12/5 - 13 = -5 (true)
Jasmine drew this display to represent the amount of
time people spent completing an online survey.
Which statements are true? Check all that apply.
Online Survey Completion
To be a density curve, the area between the x-axis
and the curve must be 1.
This cannot be a density curve because it is not
symmetric.
This could be a density curve because all points on
the curve are above the x-axis.
1
7
2 3 4 5 6
Time (min)
This cannot be a density curve because it contains
straight lines.
This cannot be a density curve because some of
the values are negative.
Answers
Answer:
The first and third one is correct.
Give the person above brainliest
ED2021
Option 1 and 3 are correct. The given graph is formed between the relative frequency and time.
How do One determine the relative frequency?The relative frequency is the ratio of the count of the considered subgroup to the total count. The frequency of the considered subgroup in relation to the total frequency is relative frequency.
The statements are true as follows;
1. To be a density curve, the area between the x-axis and the curve must be 1.
3. This could be a density curve because all points on the curve are above the x-axis.
Option 1 and 3 are correct.
Learn more about conditional relative frequency refer:
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The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answers
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
Select three ratios that are equivalent to
11
:
1
11:1
Answers
Answer: To solve this problem you must apply the procedure shown below:
1. You have the following ratio given in the problem above:
11:1
2. You can rewrite that ratio as below:
11/1=11
3. Then, to find three equivalent ratios, you only need to multiply the numerator (11) and the denominator (11) by the sam number. Therefore, you have:
11x2/1x2=22/2=11
11x3/1x3=33/3=11
11x4/1x4=44/4=11
Therefore, as you can see, the answer is:
22:2
33:3
44:4
But, comment your options if these aren't any. :)
need help will give brainliest
Answers
Answer:
28 percent
Step-by-step explanation:
Answer: 28.00%
Step-by-step explanation: The first step is to divide 7 by 25 to get the answer in decimal form: 7 / 25 = 0.2800 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.2800 * 100 = 28.00%
Evaluate the six trigonometric functions of (the angle in standard position) with the Point
(15,-3) on the terminal side of the angle.
Answers
Write the equation of the line that goes through the point
(−6, 7)
and is perpendicular to the line
6x + 7y = −19.
Answers
Answer:
Step-by-step explanation:
7y = -6x - 19
y = -6/7x - 19/7
perp. 7/6
y - 7 = 7/6(x + 6)
y - 7 = 7/6x + 7
y = 7/6x + 14
Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, which of the following statements is TRUE?
A.
It is equally likely to be heads or tails.
B.
It is not likely to be tails.
C.
It is more likely to be heads.
D.
It is more likely to be tails.
Answers
Answer:
The answer is A
Step-by-step explanation:
It doesn't matter which side the coin landed on in the previous flips. The coin only has 2 sides, heads and tails. Therefore, when it's flipped the 6th time, there is a 50% chance it will land on heads, and a 50% chance that it will land on tails. The answer is A.
What are examples of financial goals? Check all that apply.
Skylar wants to pay off her college student loans within five years.
Keegan wants to graduate from high school.
Chance wants to buy a boat.
Genesis wants to learn to speak another language.
Lukas wants to earn at least $40,000 per year.
Courtney wants to join a debate club.
Answers
Answer:
Skylar and Lukas
Step-by-step explanation:
Keegan, Chance, Genesis, and Courtney just have goals. They do not deal with gaining money or earning money.
Answer:
Skyler wants to pay off her college student loans within five years.
Chance wants to buy a boat.
Lukas wants to earn at least $40,000 per year.
Step-by-step explanation:
The triangle below lie on the same line. Find the horizontal distance of the smaller triangle.
Answers
Answer: The answer is 2
Step-by-step explanation: I had the same question and I got the answer right
I need more help thank
Answers
Answer:
B. 24
Step-by-step explanation:
Since both triangles are similar, therefore,
GM/XD = AG/KX
(x - 2)/6 = (x + 9)/9
Cross multiply
9(x - 2) = 6(x + 9)
9x - 18 = 6x + 54
Collect like terms
9x - 6x = 18 + 54
3x = 72
Divide both sides by 3
x = 72/3
x = 24
3÷ 1/4. 7÷ 1/2. 1/5÷ 1/20. 1/2÷ 1/10. 1/7÷ 3.. help me solve all these please.
Answers
Answer:
Step-by-step explanation:
Use KCF method for fraction division.
Keep the first fraction
Change the operation to multiplication
Flip the second fraction.
1) 3÷ (1/4) = [tex]3*\frac{4}{1}= 12[/tex]
2) 7 ÷ (1/2) = [tex]7 * \frac{2}{1}=14[/tex]
3) (1/5) ÷ (1/20) = [tex]\frac{1}{5}*\frac{20}{1}=4[/tex]
4) (1/2) ÷ (1/10) = [tex]\frac{1}{2}*\frac{10}{1}=5[/tex]
5) (1/7) ÷ 3 = [tex]\frac{1}{7}*\frac{1}{3}=\frac{1}{21}[/tex]