Please help me understand and explain it to me please.
Recursive Sequence Function
Answers
A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
Related Questions
The curved surface area of a right circular cylinder of height 14 cm is 88 cm².
Answers
Answer:
The diameter of the base of the cylinder is 2 cm.
Step-by-step explanation:
GIVEN :
As per given question we have provided that :
➣ Height of cylinder = 14 cm➣ Curved surface area = 88 cm²[tex]\begin{gathered}\end{gathered}[/tex]
TO FIND :
in the provided question we need to find :
➠ Radius of cylinder ➠ Diameter of cylinder[tex]\begin{gathered}\end{gathered}[/tex]
USING FORMULAS :
[tex]\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}[/tex]
➛ Csa = Curved surface area ➛ π = 22/7➛ r = radius ➛ h = height ➛ d = diameter[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Firstly, finding the radius of cylinder by substituting the values in the formula :
[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}[/tex]
Hence, the radius of cylinder is 1 cm.
———————————————————————
Now, finding the diameter of cylinder by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}[/tex]
Hence, the diameter of the base of the cylinder is 2 cm.
[tex]\rule{300}{2.5}[/tex]
CSA of a cylinder = 88 cm²
height = 14 cm
diameter = ?
CSA of a cylinder = 88 cm²
2πrh = 88 cm²
____[tex]2 \times \frac{22}{7} \times r \times 14 = 88 cm²[/tex]
[tex]2 \times \frac{22}{1} \times r \times2 \: = 88 cm²[/tex]
[tex]2 \times 22 \times r \times 2 = 88 cm²[/tex]
[tex]88r = 88 cm²[/tex]
[tex]r = \frac{88}{88} [/tex]
[tex]r = 1 [/tex]
____Diameter = radius + radius
= 1 + 1
= 2
____Therefore, The Diameter of the base of the cylinder is 2.What inequality describes the solutions of 2y < 8?
y ?
?
Answers
Answer:
45 I think
Step-by-step explanation:
I think that the answer to the question is 45 and I'm not very sure if if I can explain it to you because I don't know if it's right
.please help my teacher is going to call me in 7 minutes
Answers
Answer:
1.2 * 10^14
Step-by-step explanation:
Do 2*6 = 12
Do 10^5 * 10^8 = 10^(5+8)=10^13
Multiply the two answers together: 12 * 10^13
Write in scientific notation: 1.2 * 10^14
Solution:
Before we begin solving, I suggest reviewing a rule about multiplying exponents.
Rule about multiplying exponents:
Rule: If the base of a number is multiplied with the same base, the exponents will add.Now, let's solve for the answer.
Open the brackets of both expressions.
(2 x 10⁵) x (6 x 10⁸)2 x 10⁵ x 6 x 10⁸)Simplify 2 x 10⁵ x 6 x 10⁸.
2 x 10⁵ x 6 x 10⁸Add the exponents as per multiplying exponent rule
=> 2 x 6 x (10⁵⁺⁸)=> 12 x 10¹³Hence, the answer is 12 x 10¹³.
Learn more about exponents: https://brainly.com/question/3944602
Find the size of angle AED
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Triangle BEC = 28°
360 - 28 - 47 - 112 = 173
The answer = 173°
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and
cows he saw. Let X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?
Answers
Answer:
44 cows and 36 ducks.
Step-by-step explanation:
x is ducks and y is cows.
Assuming both have 1 head each, we can write:
x + y = 80.
Let's assume each x(cow) has 4 legs and each y(duck) has two legs.
Then we can add the numbers of legs:
2x + 4y = 248 legs
Now rearrange x + y = 80 to:
x = 80-y
and substitute:
2x + 4y = 248 legs
2(80-y) + 4y = 248 legs
160 - 2y + 4y = 248 legs
2y = 88 legs
y = 44 [There are 44 cows]
Use this value to find the number of ducks:
x + y = 80
44 + y = 80
y = 36 [There are 36 ducks]
========================
Check:
Do 44 cows and 36 ducks have a total of 248 legs?
4*44 + 2*36 = 248 ?
176 + 72 = 248?
YES
i’ll give brainliest!!! question in the picture
Answers
Answer:
5a + 2b is the total amount Hattie spent
Step-by-step explanation:
12a - 7a
4b - 2b
Jacob can drive 42 miles per gallon in his new hybrid car. He needs to drive 336 miles next week. How many gallons of gas will Jacob need to drive next week?
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336/42=8
Antonio flips a Coin 40 times. The coin lands on tails 12 times. According to theoretical probability, how many more times would Antonio have expected the coin to land on tails?
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Answer:
Therlanmo proidigy
Step-by-step explanation:
BRAINLIEST
please solve 8 x 1/3 and show work!
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8 x [tex]\frac{1}{3}[/tex]
= [tex]\frac{8}{1}[/tex] x [tex]\frac{1}{3}[/tex]
= [tex]\frac{8 x 1}{1 x 3}[/tex]
=[tex]\frac{8}{3}[/tex]
Answer:
8/3 or 2 2/3
Step-by-step explanation:
8 is also equal to 8/1
8/1 x 1/3
you multiply the numerators to get 8
then multiply the denominators to get 3
What is: Factorise 7−x^2
Answers
Answer:
([tex]\sqrt{7}[/tex] - x )([tex]\sqrt{7}[/tex] + x )
Step-by-step explanation:
Using the difference of squares
a² - b² = (a - b)(a + b) , then
7 - x²
= ([tex]\sqrt{7}[/tex] )² - x²
= ([tex]\sqrt{7}[/tex] - x)([tex]\sqrt{7}[/tex] + x)
Will name BRAINLEST!
Determine the area of the given triangle. *
Answers
Answer:
12 units
Step-by-step explanation:
A=hbb/2=6·4/2= 12
Two candidates ran for class president. The candidate that won received 80% of the 250 total votes. How many votes did the winning candidate receive?
Answers
Answer:
200 votes
Step-by-step explanation:
250*.8=200
Answer:
The winning candidate recieved 200 votes.
Step-by-step explanation:
80%=0.8
250*0.8=200
Look at the sequence below. Which statement best describes the relationship between terms. 1 64, 4,
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The statement best describes the relationship between terms is that they are perfect squares
What are perfect squares?Perfect squares are the product of an integer with itself
All the terms of the sequences are perfect squares since:
1^ 2 = 1
8^2 - 64
2^2 = 4
Note that since we can multiply the integers together with each other, then they are a perfect square.
The statement best describes the relationship between terms is that they are perfect squares
Learn more on perfect squares here: https://brainly.com/question/1538726
When you add fractions does the denominator change.
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it may or may not change
Answer:
No.
Step-by-step explanation:
The denominator only changes when multiplying or dividing.
hello help me with this question thanks in advance
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[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Answer 1 :-A quadrilateral having two pair of parallel sides is Parallelogram
Trapezoid :- It is the quadrilateral whose all sides are non parallel to each other Parallelograms :- It is the quadrilateral having opposite sides parallel Kite :- It quadrilateral with no parallel Trapezium :- It is a quadrilateral having one pair of parallel sides.Hence, Option b is correct
Answer 2 :-The two consecutive angles of parallelogram are Supplementary.
Supplementary angles are those angles whose sum equal to 180°.The sum of two consecutive angles are parallelogram is 180° .Hence, Option C is correct
Answer 3 :-All squares are rectangle is true statement
All squares are rectangles because square having length and breath .All rhombus is rectangle is a false statement because all sides of rhombus are equal which is not in the case of rectangle All rectangles are squares is a false statement because all sides of square are equal whereas in rectangle only opposite sides are equal. Every parallelogram is a rhombus is false statement because rhombus has all four sides equal but parallelogram Only having opposite sides equal.Hence, Option A is correct
Answer 4 :-Rhombus is the quadrilateral has diagonals perpendicular to each other
The diagonals of rhombus bisect each other at 90° . It means the diagonals of rhombus are perpendicular to each otherHence, Option B is correct
Can anyone help please
Answers
Find the maximum area for a rectangle with a perimeter of 120 meters.
Answers
Answer:
900 m^2
Step-by-step explanation:
Let x = length, y = width
perimeter = 2x + 2y = 2(x + y) = 120. so
x + y = 60, or y = 60 - x
Area = xy = x(60 - x) = 60x - x^2
= -(x^2 - 60x + 30^2) + 30^2
= 900 - (x - 30)^2
Note (x - 30)^2 is never negative, at least zero.
When (x - 30) = 0, the area is the largest which is 900 m^2
y is directly proportional to x2
If y = 8 when X = 2 find
y when x 3
.
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[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly with }x^2}{y=kx^2}\qquad \textit{we also know } \begin{cases} y=8\\ x=2 \end{cases} \\\\\\ 8=k(2)^2\implies 8=4k\implies \cfrac{8}{4}=k\implies 2=k~\hfill \boxed{y=2x^2} \\\\\\ \textit{when x = 3, what is "y"?}\qquad y=2(3)^2\implies y=2(9)\implies y=18[/tex]
I would appreciate if someone helped me with this question! Please include the steps you made to get the answer :)
1-2x=-x+3
(Please don't delete this question again!!! Its school appropriate theres nothing wrong with it! I'm doing what im supposed to!)
Answers
1-2x-3=-x
-2-2x=-x
-2-2x/-2x=-x/-2x
-2=0.5x
-2/0.5=0.5x/0.5
-4=x
Jim is 4 years older than mark if the sum of their ages is 44 find the age of each person
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Answer:
jim is 24 years old, Mark is 20 years old
Step-by-step explanation:
This prompt can be set up using this equation:
Let's represent Mark's age by variable m and Jim's age by variable J.
j + m = 44
m + 4 = j
m = j - 4
j + (j - 4) = 44
2j - 4 = 44
2j = 48
j = 24
So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let me know if you have any further questions! Spread the love.
A shop orders 23 packs of pens for 2.81 each. how much do they pay
Answers
Answer:
$64.63
Step-by-step explanation:
Multiply both values:
23 packs for 2.81 each23 x 2.8164.63They pay 64.63
-Chetan K
Answer:
$64.63
Step-by-step explanation:
You multiple 23 by $2.81, I'm sorry if the explanation is brief, but this problem is relatively simple.
Have a nice day!
[:
What is a related fact for 6 + 8 = 14
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Answer:
8+6= 14
Step-by-step explanation:
I think but I'm not sure
show given 4x+5y>= -20 inequalities on a graph
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Answer:
y≥−4/5x−4
Step-by-step explanation:
Im not sure but i think its correct
Levi is planning a road trip. He throws a dart on a map of the United States to decide where to go. There are 4 states that start with the letter A, 3 states that start with the letter C, and 8 states that start with the letter M. What is the probability that Levi throws a dart on a state that starts with an A or an M? (Hint: There are 50 total states.)
P(A∪M)=
1) 0.01
2) 0.24
3) 0.64
4) 0.42
Answers
Answer:
since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M
remember, hydrate or diedrate.
u r loved
cheese
Answers
Answer:
ok
Step-by-step explanation:
Write an equation in slope-intercept form for the line with y-intercept 1 and slope 3/4
Answers
Answer:
Y=3/4x + 1
Step-by-step explanation:
Y intercept x=0
Therefore point(0,1) satisfies.
There fore constant c is 1
Answer:
y = [tex]\frac{3}{4}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{3}{4}[/tex] and c = 1 , then
y = [tex]\frac{3}{4}[/tex] x + 1 ← equation of line
Light travels about 180 million km in 10 minutes. How far does it travel in 1 minute? How far does it travel in 1 second? Explain your reasoning. (Don't forget about your whiteboard to show your work...ratio table? Put your link to your work in your answer.
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Answer:
18 million kilometers in one min. and 0.3 million kilometers in one second
Step-by-step explanation:
so the one min. is easy because all you have to do is take 180 and divide it by 10 and you get 18 million kilometers in one min. and then you would take 18 and divide it by 60 and you would get 0.3 million kilometers in one second
Solve the inequality.
20 < k + 19
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Solution:
Simplify the inequality and solve.
20 < k + 19=> 20 - 19 < k=> 1 < kThe simplified inequality is 1 < k.
[tex] \sf20 < k + 19[/tex]
Move the variable to the left-hand side and change its sign
[tex] \sf20 - k < 19[/tex]
Move the constant to the right-hand side and change its sign
[tex] \sf \: - k < 19 - 20[/tex]
Calculate the difference
[tex] \sf \: - k < - 1[/tex]
Change the signs on both sides of the inequality and flip the inequality sign
[tex] \boxed{ \tt \: k > 1}[/tex]
Cruz's Frame Shop makes a mat by removing out the inside of a rectangular mat board. Use the measurements from the diagram to find the area of the mat for the frame. (area of the shaded region). Do not use units
Answers
Answer:
2x -16
Step-by-step explanation:
The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.
shaded area = (2x -1)(x +6) -(2x +5)(x +2)
= (2x^2 +11x -6) -(2x^2 +9x +10)
= (2 -2)x^2 +(11 -9)x +(-6 -10)
= 2x -16 . . . . . area of the shaded region
A copy machine makes 36 copies per minute. How many does it make in 5 minutes and 15 seconds
Answers
Answer: 111.75 copies
Step-by-step explanation:
36 x 3 = 108
60/15 = 4
36/4 = 3.75
108 + 3.75 = 111.75