The recursive formula to describe a sequence is shown below.
PART A:
State the first four terms of this sequence.
PART B:
Can this sequence be represented using an explicit geometric formula? Justify your answer.
Answers
The first four terms of the sequence are 3, 7, 15, and 31. This sequence is represented using an explicit geometric formula.
What is the recursive rule?A rule is defined such that its definition includes itself.
Example:
F(x) = F(x-1) + c
is one such recursive rule.
PART A:
State the first four terms of this sequence.
[tex]a_1 = 3\\\\a_n = 1+ 2a_{n-1}[/tex]
[tex]a_2 = 1+ 2a_{2-1}\\\\a_2 = 1+ 2a_{1}\\\\a_2 = 7\\\\a_3 = 1+ 2a_{2}\\\\a_3 = 15\\\\a_4 = 1+ 2a_{3}\\\\a_4 = 31\\[/tex]
PART B:
This sequence is represented using an explicit geometric formula.
Learn more about the recursive rule and explicit rule here:
https://brainly.com/question/12620593
#SPJ2
Related Questions
Please helppppppp meeee
Answers
Answer:
angle K is 30 degrees
Step-by-step explanation:
A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees
9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points
Answers
Answer:
Step-by-step explanation:
5n⁵c⁻⁵ * 2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³
=10*n° *c⁻³
= 10c⁻³ (n° = 1}
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]
Please help as soon as possible! Round your answers to one decimal place, if necessary. Find the mean and median of these data: 2, 5, 13, 15, 18, 20. tysmmm!
Answers
Answer:
Mean= 12.2
Median= 14
Step-by-step explanation:
The mean of the data can be calculated as follows
= 2+5+13+15+18+20/6
= 73/6
= 12.2
Mean= 12.2
The median can be calculated as follows
Arrange the numbers in an orderly way
2, 5, 13, 15, 18, 20
= 13+15/2
= 14
Median= 14
Can someone please be generous & help I’ve been stuck here for a whole hour
Answers
The 1/2 is because she is lending half the collection and the +4 is because Clara buys 4 more. It equals 12 because that’s the number that she has now. If you solve for d it gives the original number of dresses in her collection
Answer:
Answer: 16 Step-by-step explanation: a:2+4 =12 a:2=12-4 a:2=8 a=8 ×2 a=16 dresses
Step-by-step explanation:
Which of the following graphs represent the dilation of
the given triangle XYZ with the center of dilation at the
origin with a scale factor 3?
Please I need it fast
Answers
Answer:
12y
Step-by-step explanation:
How do you find the equation of a line of a triangle when given the area and one set of coordinates?
Answers
1
Solve these simultaneous equations using the elimination method
4x + y = 23
x + y = 8
Answers
Answer:
y= 3, x= 5
Step-by-step explanation:
4x+y=23
-x-y=-8
3x/3=15/3
x=5
for y
x+y=8
5+y=8
y=8-5
y=3
x=5
y=3
Find the simple interest on $600.00 saved for 2 years 8 months at 5℅ per annum.
Answers
Answer:
$80
Step-by-step explanation:
I = Prt
P = 600
r = 5%
t = 2 yrs and 8 mos = 8/3 yrs
I = 600(0.05)(8/3)
I = $80
Answer:
I believe the answer is $80.001.
Step-by-step explanation:
i used a calculator
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months
Answers
The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Given the equation:
C = 40n + 210
Where C is the cost of a phone plan for n number of months.
After 2 months; C = 40(2) + 210 = 290
After 12 months; C = 40(12) + 210 = 690
After 24 months; C = 40(24) + 210 = 1170
The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.
Find out more on linear equation at: https://brainly.com/question/14323743
complete the solution find the value of y when x equals 1 9x+7y=-12
Answers
I hope that helps and best of wishes !!
SOMEBODY PLEASE HELP
Answers
Answer:
x=40
Step-by-step explanation:
1/5x=8
x=8*5=40
x=40
Please help I’ll give brainllist
Answers
I need help again plz
Answers
6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24
simplify
x - ( - 6 x )
Answers
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answers
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
help please asap!!! working too please not just the answers!!
Answers
Answer:
Area = 4600m
explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step
Answer:
244280
Step-by-step explanation:
you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280
!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!
Answers
Answer:
A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.
Answer:
I would go with D
Step-by-step explanation:
Because there are 4 possibilities.
1) they both land heads up
2) they both land tails up
3) one lands heads up and the other tails up
4) one lands tails up and the other heads up
Hope this helps!
which equation has the steepest graph?
A. y=7x+3
B. y=8x-1
C. y=-10x-4
D. y=-2x+6
Answers
2 sin2 (π/2 sin2x)=1+cos(π×cos2x)
Answers
Answer:
3/5Step-by-step explanation:[tex]the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} [/tex]
HOPE IT HELPS!!!!If it is correct mark as BRAINLIEST ✌️A set of composite numbers less than 12 .express it in listing and set builder methods
Answers
Given:
A set of composite numbers less than 12.
To find:
The set by listing and set builder methods.
Solution:
Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.
Composite numbers less than 12 are 4, 6, 8, 9, 10.
By using the listing method , the given set can be expression as:
Set = {4, 6, 8, 9, 10}
The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.
By using set builder method, the given set can be expression as:
Set = [tex]\{x|x\neq P,1<x<12\}[/tex]
Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and [tex]\{x|x\neq P,1<x<12\}[/tex] respectively.
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?
Answers
Answer:
24 Miles
Step-by-step explanation:
We multiply:
40 * 0,6 = 24 miles
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
5
B
С
4
3
2
A
D
1
-7 -6 -5 -4
-3 -2
-10
1
2
3
4
D' = ([?], [ ]
-2.
Answers
9514 1404 393
Answer:
D'(4, 0)
Step-by-step explanation:
(x, y) ⇒ (x +3, y -2)
D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)
22/9 divided by 8, please hurry test is timed!
Answers
Answer:
0.30(5)
the 5 is repeating
Step-by-step explanation:
calculator
How much is 3 lbs of gold worth I’m American money
Answers
Answer:
$1865
The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.
The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.
Find the solution to the equation 4r + 2(r - 8) = 4(3 + r).
Answers
Answer:
r = 14
Step-by-step explanation:
Use distributive property:
4r + 2r - 16 = 12 + 4r
Combine like terms:
6r - 16 = 12 + 4r
Isolate the variable:
6r = 28 + 4r
2r = 28
r = 14
Answer:
r = 14
Step-by-step explanation:
4r + 2(r - 8) = 4(3 + r)
4r + 2r - 16 = 12 + 4r
6r - 16 = 12 + 4r
6r - 4r - 16 = 12 + 4r - 4r
2r - 16 = 12
2r - 16 + 16 = 12 + 16
2r = 28
2r ÷ 2 = 28 ÷ 2
r = 14
what cannot form a triangle 10 POINTS
Answers
Please help will be marked as brainliest if correct
Answers
Answer:
I think the answer is three.
Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.
What is an acceptable domain for this situation?
Answers
Answer:
The answer is below
Step-by-step explanation:
A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).
The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.
From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).
Hence the domain of the function is:
0 < a < ∞
for the diagram below, which equation is the correct use of the distance formula?
Answers
Answer:
????
Step-by-step explanation:
Where's the equation? diagram?
Answer:
How we supposed to answer with no equation
Step-by-step explanation:
Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]
Answers
Answer:
a = 4.
Step-by-step explanation:
We know that:
[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]
is a singular matrix, now we want to find the value of a.
We know that a matrix is singular if:
Det [A] = 0
Where remember that the determinant of a 2x2 matrix is given by:
[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]
Then the determinant of A is:
Det [A] = 4*3 - a*3
and that must be zero, so:
4*3 - a*3 = 0
Now we just need to find the value of a:
12 - a*3 = 0
12 = a*3
12/3 = a
4 = a
So the value of a is 4.
