A sequence is defined by the term-to-term rule
U = + 2
Given that u, = -3,
a) find u,
b) find uz
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
a)
A sequence is defined by the term-to-term rule such as
[tex]U_{n+1}=U^3_n+2[/tex]
Given that
[tex]U_0=-3[/tex]
Substituting n = 0 to determine u₁
[tex]U_{0+1}=U^3_0+2[/tex]
[tex]U_1=U^3_0+2[/tex]
substituting [tex]U_0=-3[/tex]
[tex]U_1=\left(-3\right)^3+2[/tex]
[tex]U_1=-27+2[/tex]
[tex]U_1=-25[/tex]
Therefore,
[tex]U_1=-25[/tex]b)
[tex]U_{n+1}=U^3_n+2[/tex]
Substituting n = 1 to determine u₂
[tex]\:U_{1+1}=U^3_1+2[/tex]
substituting [tex]U_1=-25[/tex]
[tex]U_2=\left(-25\right)^3+2[/tex]
[tex]U_2=-15625+2[/tex]
[tex]U_2=-15623[/tex]
Therefore,
[tex]U_2=-15623[/tex]
Related Questions
Costs of homes can be very different in different parts of the United States. a. A 450-square-foot apartment in New York City costs $540,000. What is the price per square foot? Explain or show your reasoning. b. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost? Explain or show your reasoning.
Answers
Answer:
The cost of homes per square foot differs in different part of the United states. The cost of homes per square foot is gotten by using the formula:
cost of homes per square foot = Cost of apartment / area of apartment
1) Cost of apartment = $540000, area of apartment = 450 ft²
cost of homes per square foot = Cost of apartment / area of apartment = $540000/ 450 ft² = $1200 / ft²
2) cost of homes per square foot = $110/ ft², area of apartment = 2100 ft²
cost of homes per square foot = Cost of apartment / area of apartment
$110 / ft² = Cost of apartment / 2100 ft²
Cost of apartment = $110 / ft² × 2100 ft² = $231000
Step-by-step explanation:
Hope this helps plz mark brainiest
The other person that answered this never got their brainliest bc there was only one answer so now you can give them a brainliest plz do.
Sarah and her friends ordered a pizza. Sarah ate 5 1 of the pizza. Her friend John ate 20% and her friend Jules ate half of the pizza. How much pizza is left over?
Answers
Given:
Sarah ate [tex]\dfrac{1}{5}[/tex] of the pizza.
Her friend John ate 20%.
Her friend Jules ate half of the pizza.
To find:
The remaining part of the pizza.
Solution:
We have,
Sarah ate = [tex]\dfrac{1}{5}[/tex] of the pizza.
John ate = [tex]20\%[/tex] of the pizza.
= [tex]\dfrac{20}{100}[/tex] of the pizza.
= [tex]\dfrac{1}{5}[/tex] of the pizza.
Jules ate = [tex]\dfrac{1}{2}[/tex] of the pizza.
Total part of a pizza they ate = [tex]\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{2}[/tex]
= [tex]\dfrac{2+2+5}{10}[/tex]
= [tex]\dfrac{9}{10}[/tex] of the pizza.
Now, the remaining pizza is
Remaining pizza = 1 - Total part of a pizza they ate
= [tex]1-\dfrac{9}{10}[/tex] of the pizza.
= [tex]\dfrac{10-9}{10}[/tex] of the pizza.
= [tex]\dfrac{1}{10}[/tex] of the pizza.
Therefore, the remaining pizza is [tex]\dfrac{1}{10}[/tex] of the pizza.
Please give the correct answer and the solution if you can
Answers
Answer:
the answer is b the solution is 6
What is the slope of the line through (-5,10) and (1,24(
Answers
Answer:7/3
Step-by-step explanation:
i went on a website and got the answer
Pls help
y = 2x + 2
4x - y = -6
Answers
Answer:
x = - 2, y = - 2
Step-by-step explanation:
Given the 2 equations
y = 2x + 2 → (1)
4x - y = - 6 → (2)
Substitute y = 2x + 2 into (2)
4x - (2x + 2) = - 6 ← distribute and simplify left side
4x - 2x - 2 = - 6
2x - 2 = - 6 ( add 2 to both sides )
2x = - 4 ( divide both sides by 2 )
x = - 2
Substitute x = - 2 into (1) and evaluate for y
y = 2(- 2) + 2 = - 4 + 2 = - 2
solution is x = - 2, y = - 2
Find the slope of the line that contains (7, -4) and (3, -3).
Answers
Answer:-1/4
Step-by-step explanation:because that is the answer i got
Answer:
1 , 3
Step-by-step explanation:
Try using rise over run
How does the graph change between point A and point C?
O The graph increases, then decreases.
O The graph decreases, then remains constant.
O The graph decreases, then increases.
O The graph increases, then remains constant.
Answers
Answer:
The answer is option D. Best of luck
Answer:
the last one
the graph increases , then remains constant
Ms. Buback is competing in a race in which she both runs and rides a bike. She runs 5 kilometers in 0.5 hours and rides her bike 20 kilometers in 0.8 hours. At the rate given, how many kilometers can she bike in one hour?
Answers
Answer:
25.02 km/h
Step-by-step explanation:
60 min × 0.8 = 48 min
20 km÷48 = 0.417 km/min
0.417 × 60 = 25.02 km
What is the slope of the equation 3x - 4y = 32?
-3/4
-8
3/4
8
Answers
Answer:
y=34x−8
Step-by-step explanation:
3x-32=4y —> y= 3/4x -8
So the slope is 3/4
Hope it is useful ;)
I need these 2 questions please!!! And if you can do the bottom one I’ll give you brainliest
Answers
Answer:
for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49
If J is the centroid of cde, de=52, fc=15, he=14, find each missing measure
Answers
Answer:
[tex]DG = 26[/tex]
[tex]GE = 26[/tex]
[tex]DF = 15[/tex]
[tex]CH = 14[/tex]
[tex]CE = 28[/tex]
Step-by-step explanation:
The figure has been attached, to complement the question.
[tex]DE = 52[/tex]
[tex]FC = 15[/tex]
[tex]HE = 14[/tex]
Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:
[tex]DF = FC[/tex]
[tex]CH = HE[/tex]
[tex]DG = GE[/tex]
Solving (a): DG
If [tex]DG = GE[/tex], then
[tex]DE = DG + GE[/tex]
[tex]DE = DG + DG[/tex]
[tex]DE = 2DG[/tex]
Make DG the subject
[tex]DG = \frac{1}{2}DE[/tex]
Substitute 52 for DE
[tex]DG = \frac{1}{2} * 52[/tex]
[tex]DG = 26[/tex]
Solving (b): GE
If [tex]DG = GE[/tex], then
[tex]GE = DG[/tex]
[tex]GE = 26[/tex]
Solving (c): DF
[tex]DF = FC[/tex]
So:
[tex]DF = 15[/tex]
Solving (d): CH
[tex]CH = HE[/tex]
[tex]CH = 14[/tex]
Solving (e): CE
If [tex]CH = HE[/tex], then
[tex]CE = CH + HE[/tex]
[tex]CE = 14 + 14[/tex]
[tex]CE = 28[/tex]
The measured of angle C is ___ degrees, and the measure of angle D is ___ degrees
Answers
Answer:
angle c is 40° where angle d is75°
The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.
Answers
Answer:
486 centimeters³
Step-by-step explanation:
Surface area of a cube = 6s²
Where,
s = side length
Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.
s = 9 centimeters
Surface area of a cube = 6s²
= 6 × 9²
= 6 × 81
= 486 centimeters³
Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³
A shirt is priced at $12. What is the price after a 15% discount and 7% sales tax?
Answers
the total, end price is $10.91
15% of 12 = 1.8 which makes it 10.2
7% of 10.2 = 0.714 which makes 10.91
the end price is $10.91
May I have brainliest please? :)
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answers
Answer:
The answer is 59.5.
Step-by-step explanation:
Add 35+70%.
chuck was chopping wood.when he was done he had 25 kg of firewood what was most likely the weight of the wood before he chopped it
Answers
Answer:
The weight of the wood before he chopped it is 245 N
Step-by-step explanation:
The law of conservation of mass states that for a given isolated system, mass (or matter) can not be created neither can it be destroyed, but it can be transformed into different forms
Therefore, whereby all the wood Chuck chops is taken as firewood, (wood which is dry is about 100% consumable as firewood) the mass of the wool before he chopped the wood = The mass of the firewood he had after chopping the wood = 25 kg
Weight = Mass × The acceleration due to gravity, g
g = Constant = 9.8 m/s²
The weight of the wood before he chopped it = 25 kg × 98 m/s² = 245 N.
Answer:
as much as it wants
Step-by-step explanation:
A teacher starts on a salary of $25000. each year the teacher gets a pay rise of $1500. the teacher is employed for 30 years.
a)Find their salary in their final year
b)Find the total they have earned during their teaching career.
c)If the inflation rate is on average 1.5% each year, find the real value of their final salary at the end of their final year in terms of the value at the beginning of their career, giving your answer to the nearest $100.
Answers
Answer:
A bachelor's degree with a licensure in your state is enough to be a teacher, but it is also the most basic qualification and will earn you the most basic salary. Teachers looking to increase their salary may benefit from a ...
The solution of the equation is —
Answers
Answer:
x=5
Step-by-step explanation:
4(x+3)=32
4x+12=32
4x+12-12=32-12
4x=20
x=5
combine the like terms to make a simplified expression: -2w - 5w
I really suck at these types of math im sorry
Answers
Answer:
-7w
Step-by-step explanation:
-2w - 5w are like terms because they both have "w"
-2 - 5 = -7
Denis let go of a penny at the top of a well and the penny fell straight down to the bottom of the well the top of the well was 1 1/2 meters above ground . The bottom of the well was 11 meters below ground .what does -12 1/2 tell us
Answers
Answer:
The distance between the top of the well and the bottom of the well was 12 1/2
Step-by-step explanation:
(a.k.a B) i did it and got it right :)
#2: Given the geometric sequence 200, 100, 50, 25... (This one is tricky)
Write the explicit formula.
• Determine the 15th term of the sequence?
Answers
Açık formülü yazın.
• Dizinin 15. terimini belirleyin?
Answer:
see explanation
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 200 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{100}{200}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 200 [tex](\frac{1}{2}) ^{n-1}[/tex] ← explicit formula
The 15 th term is then
a₁₅ = 200 × [tex](\frac{1}{2}) ^{14}[/tex]
= 200 × [tex]\frac{1}{16384}[/tex]
= [tex]\frac{200}{16384}[/tex] ← divide numerator/ denominator by 8
= [tex]\frac{25}{2048}[/tex]
Tim buys a torch and a battery. The torch costs 11 times as much as the battery. Tim pays with a £10 note and gets £4.84 change. How much did the battery cost?
Answers
3/4 divided by 1/5
Please answer soon
Answers
Answer:
15
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
3.75
forgive me if i’m wrong but i’m positive it’s correct
how do you solve this equation k=4L-7
Answers
Answer:
l=k/4+7/4
Step-by-step explanation:
Which of the following statements are true of 12 and -12?
They are the same distance from zero.
They are a zero pair.
They are equivalent.
They are opposites.
Answers
Answer:
your answer would be A.
Step-by-step explanation:
They are the same distance from zero.
Answer:
They are the same distance from zero
zero pairs
and opposites
The machine that Holley operates tightens 40 bolts every 3 minutes. The bolts are delivered to her machine station in boxes containing 1,000 bolts each. Which equation can be used to determine t, the number of minutes it takes Holley's machine to tighten a box of 1,000 bolts at the same tightening rate?
Answers
Answer:
75
Step-by-step explanation:
My equation equals 180. With the 3 variables missing
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, and it needs additional information before it can be answered.
However, a possible question could be that we generate an equation that has 3 variables and equals 180.
A possible question is:
The sum of three consecutive numbers is 180. What is the highest number?
And the solution is as follows:
Let the three numbers (in order of smallest to greatest) be x, y and z
So, the sum is:
[tex]x + y + z = 180[/tex]
Since the numbers are consecutive, then the following relationship exist:
[tex]y = x + 1[/tex]
[tex]x = x + 2[/tex]
Substitute x + 1 for y and x + 2 for z in [tex]x + y + z = 180[/tex]
[tex]x + x + 1 + x + 2 = 180[/tex]
Collect Like Terms
[tex]x + x + x = 180 - 3[/tex]
[tex]3x = 177[/tex]
Solve for x
[tex]x = 177/3[/tex]
[tex]x = 59[/tex]
The value of the highest being is:
[tex]z = x + 2[/tex]
[tex]z = 59 + 2[/tex]
[tex]z = 61[/tex]
You can generate as many equation as possible
I need help please!!!!!!
Answers
In below diagrams, line BC is parallel to DE.
Answers
Answer:
DAF= 73
Step-by-step explanation:
To find opposite angles like BAC and DAF take 180 minus the given angle. For example to solve this, 180-107= 73. Hope this helps <3.
30 points each answer Math
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply.
Choices are in picture. Please only real answers.
Answers
Answer:
B and D (another answer but not sure about the other one)
Answer: A and B
Step-by-step explanation: I just did it