What is a formula for the nth term of the given sequence?
36, -48, 64...
Answer:
A formula for the nth term of the given sequence is:
[tex]a_n=36\left(-\frac{4}{3}\right)^{n-1}[/tex]
Step-by-step explanation:
Given the sequence
36, -48, 64...
We know that a geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Compute the ratios of all the adjacent terms
[tex]\frac{-48}{36}=-\frac{4}{3},\:\quad \frac{64}{-48}=-\frac{4}{3}[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-\frac{4}{3}[/tex]
Therefore, the given sequence is a geometric sequence.
As the first element of the sequence is
[tex]a_1=36[/tex]
so substituting [tex]a_1=36[/tex] and [tex]r=-\frac{4}{3}[/tex] in the nth term
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=36\left(-\frac{4}{3}\right)^{n-1}[/tex]
Therefore, a formula for the nth term of the given sequence is:
[tex]a_n=36\left(-\frac{4}{3}\right)^{n-1}[/tex]
Who is a fan of baby Yoda/Grogu lol sorry about the spoiler alert!
Answer:
It's not really a spoiler but I like baby yoda
Answer:
I think Baby Yoda is adorable u.u
Solve the system of lineal ed
3. y = -3/2 x + 1
y = 12x-3
Answer:
nose pero descarga symbolab en play stores ahí te dará la respuesta
Can you please help me?
Answer:
1) 2n
2) 9x
3) 8wx
4) 9wx²
5)7a²c
NEED HELP ASAP GIVING 50-100 POINT BRAINLEST:
Write a real world situation that could be represented using the following equation:
11x = 385
Answer:
You want to buy 11 cookies but you want to know the price of each cookie so your friends can pay you back. The total amount is $385 for the cookies. How much is each cookie?
Step-by-step explanation:
Here you go you can modify it a tiny bit if it can't be asked in question format anyway please brainliest.
Write the expression to match the phrase.
half as many pages as George read
Answer:
x/2
Step-by-step explanation:
x being the number of pages George read and divided by 2 because it is half that number !
Can somebody plz help write the equation for each question correclty thanks :D
(Only if u done these before) :3
WILL MARK BRAINLIEST :DD
Answer:
1. 482
2. 60
HOPE THIS HELPS YOU
Answer
20. 470 = x - 12 (Solving for X: There was 482 pages before decreasing by 12)
21. 65 = x + 5 (Solving for X: There was 60 pages read before reading 5 more)
pleasee helpp what's 2(3x-5) + 3(2x+3) simplified and expanded
At the beach the cost for renting a surf board is 39 dollars for 3 hrs. At this rate that is the charge for 8 hrs.
Answer:
$104
Step-by-step explanation:
So, in one hour it would cost $13. Times 8, because we want to see what would be the cost for 8 hours, and 8 times 13 is 104.
Elisa puts $1,000 into each of 2 bank accounts.
Account A: 3% interest rate, compounded annually, which is
growth
Account B: $40 bonus added to the account each year, which is
growth
Answer:
exponential
linear
$1092.73
$1120
account b
account a
Step-by-step explanation:
on the test now.
Pl help it’s for a grade I will give you Brainly
Answer:
east
Step-by-step explanation:
friction force moves in opposite direction
Find the values of x and y - i will give brainliest if right
Answer:
itd x=68 and y=5 I apolgize if its wrong
◦ A bus travels with an acceleration of 2m/s2 and reaches a speed of 45km/h in 5 seconds
◦ What was the initial velocity of the bus in m/s?
Please can you help me?
Answer:
I don't know that one sorry
Write two different ratios that would form a proportion with the ratio of 10/4
Answer:
ima guess 20/8 40/16
you can also say 5/2
Step-by-step explanation:
dont take my word, that just seems to make sense
Given the equation find the y-intercept. Write it as a coordinate ( 0 , y ).
y=-4x+3
Answer:
(0, 3)
Step-by-step explanation:
The equation already shows the y-intercept (written as +3). The slope is -4x and the y-intercept is (0, 3).
Answer:
y=3
Step-by-step explanation:
Because we know x equals 0 we put that into the equation so then you have y=4(0)+3 you multiply 4 time 0 and get 0 so all you have left is 3.
i really need help please
Answer:
i dont care F
Step-by-step explanation:
ag
2.
The zoo is open for 9 hours on weekdays. On weekends, the zoo is open for r
more hours. Write the expression for the number of hours the zoo opens on
weekends.
Answer:
36-k
Step-by-step explanation:
There are 3 cats for every 5 dogs at the shelter. If there are more than 20 animals at the shelter, what is the minimum number of cats?
Answer:
9 cats
Step-by-step explanation:
why would i use square root to solve this quadratic equation?
Answer:
Because there is no (b) like in Ax^2 +Bx+ C
Step-by-step explanation:
Because there is no (b) like in Ax^2 +Bx+ C
3. Given the statement "x - 4 is a factor of f(x)= 5x* – 22x - 2x2 – 25x +4". explain how to verify the
statement is accurate.
Step-by-step explanation:
x - 4 = 0
=> x = 4
f(x)= 5x – 22x - 2x² – 25x +4
By remainder theorem,
f(4)= 5(4) – 22(4) - 2(4)² – 25(4) + 4
= 20 - 88 - 32 - 100 + 4 ≠ 0
Since the remainder is not 0, x - 4 is not a factor.
Hope it helps :)
Please mark my answer as the brainliest
of a football team's season touchdowns, about 43% came by passing. If the team scored 28 touchdowns, how many were by other means?
43% were from passing so 100% - 43% = 57% came by other means.
28 x 57% = 28 x 0.57 = 16
16 came from different means.
WILL PICK BRAINLIEST!!!
What is the sum? (2/5x+5/8)+(1/5x-1/4)
a. 3/5x+1/8
b.3/5x+3/8
c.3/5x+5/8
d.3/5x+7/8
Select all figures that can be proven to be parallelograms by the markings on the diagram
All the figures can be proven to be parallelograms by the markings.
How to determine the parallelogram?The properties of parallelogram are:
Parallel opposite sides
Congruent opposite sides
Diagonals may or may not be congruent
Congruent opposite angles
Based on the above properties, all the figures can be proven to be parallelograms
Learn more about parallelograms:
brainly.com/question/11220936
#SPJ2
Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC
Answer:
it is b sorry I tried to work out it best have a nice day
Answer:
a=
Step-by-step explanation:
The terms in the sequence decrease by the same amount each time:
9, 6 ,3 ,0, -3, -6
Work out ,in term of n, the nth term of the sequence
Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
What’s the value of x
Answer:
-10
Step-by-step explanation:
-5x - 1 = -10x - 51
Add 10x to both sides.
5x - 1 = -51
Add 1 to both sides.
5x = -50
Divide both sides by 5.
x = -10
I hope this helped! :)
Boden's account has a principal of $300 and a simple interest rate of 3.8%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer:$66.00
Step-by-step explanation:
first we need multiply :D I will use the formula I =prt
principal= $500
rate=3.3%
time= 4 years
but we need to convert the percent, 3.3%, to a decimal
3.3%=0.033 or .033
then we multiply
500 × 0.033 × 4 = 66 = $66.00
plz help i will give brainlest and its 20 points.
Answer:
how much is it for 4 cookies?
Step-by-step explanation:
i will solve but i need how much 4 cookies and 5 sandwiches is
Which is the equation of the trend line that is shown?
y=1/7x + 4/7
y = 1/7x + 16/7
y = 4/7x + 1/7
y = 4/7x - 1/7
Answer:
one of the 4 equations, you should test your luck, but 2 is my favorite number so you should select the second one
Step-by-step explanation:
1. E = -20,000p + 90,000
R = -2,170p2 + 87,000p
The equations of E and R are illustrations of cost and revenue functions
The equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p
How to determine the break even pointThe cost and the revenue functions are given as:
E = -20,000p + 90,000
R = -2,170p^2 + 87,000p
At the break even point, we have:
E = R
Substitute known values
-20,000p + 90,000 = -2,170p^2 + 87,000p
Hence, the equation of the break even point is -20,000p + 90,000 = -2,170p^2 + 87,000p
Read more about break even point at:
https://brainly.com/question/9212451