A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term
Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
Each of the numbers 0, 2, 4, 6, 8, 10, 12, and 14 is written on a separate sheet of paper and placed into a box. One piece of paper is selected at random. Find the probability that the piece of paper selected contains the number 8 or a number less than 12.
Answer:
For the second, all numbers less than 12, that would be 87.5%
Step-by-step explanation:
There are eight numbers. 100 divided by 8 is 12.5. 12.5 multiplied by 7 is 87.5.
Select the correct answer.
Which function has the same zeros as g(x) = -x3 + x2 + 12x?
ОА. .
y
-30
-20
10
1-10
-8
-6
-4
-2
6
8
10
-10
20
Answer: -30
Step-by-step explanation:
-30 bc it has the same functions.
Answer:
points -3,0,4 on a graph
Step-by-step explanation:
correct on edmentum or plato
A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555
Answer:
B) 3.7(1.15)
Step-by-step explanation:
HELP ME 50 POINTS RN.
Answer:
the last one. hope I help u
Answer:
S<30
need explain that?
What is the solution to the system of equations below?
y=-x+6 and y-x-6
O no solution
O infinitely many solutions
O (-18, 12)
O (18, 0)
Answer:
O (-18, 12)
Step-by-step explanation:
brainiest plz
At a jewelry store, the necklace costs $380.60, but the store is having
a 75% discount for Valentines Day. What is the new price of the necklace?
$95.15
O $190.30
O $266.42
$285.45
Answer: 95.15
Step-by-step explanation:
To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15
(I got the .25 from subtracting 100-75, and the 75 is the percent)
Answer: 95.15
Step-by-step explanation:
Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15
it said in the question how do we solve of the side b
Can someone Help me I'm Stuck on these three Questions
Z+(-7)=-8
13=Z+18
12=T+3
Explain your answer
Thanks For the Help:)
Answer:
1.) z = -1
2.) z = -5
3.) t = 9
Step-by-step explanation:
z + (-7) = -8
=> add 7 to both sides
z = -1
13 = z + 18
=> subtract 18 from both sides
-5 = z
12 = t + 3
=> subtract 3 from both sides
9 = t
HELP ASAP! WILL MARK BRAINLIEST
Answer:
it will be the first the 5th the 2nd and the 3rd
im really slow help please
What is the first step in isolating the variable in this equation?
(2) p + 75 = 100
D
Subtract 75 from both sides.
B
Subtract 1/2 from both sides.
с
Divide both sides by 75.
D
Divide both sides by 1/2
Answer:
Subtract 75 from both sides.
4. How do we divide polynomials using synthetic division?
Answer:
here
Step-by-step explanation:
Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.
Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.
Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.
Step 4 : Add the two numbers together and write the result in the bottom of the row.
Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.
Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.
Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.
Answer:
Six movie channels, because 5(6) + 50 = 6.5(6) + 41
Step-by-step explanation:
f(x) = x + 2
g(x) = 3x^2 - 5
Find (f•g)(x).
Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
(f.g)(x) = 3x^2 - 3
f(x) = x + 2
g(x) = 3x^2 - 5
equation is the relationship between variable and represented as is example of polynomial equation.
f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3
Thus, (f.g)(x) = 3x^2 - 3
Learn more about equation here:
brainly.com/question/10413253
#SPJ2
Can someone help me pls
Answer:
(-0.5, 0)
Step-by-step explanation:
The easiest way to do this question is by going to the left 0.5 and seeing how far you need to go up or down.
1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.
Answer:
7.25S + 10.50L ≤ 90
The system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.
What are inequalities?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.
Juan must buy more than 5 pizzas to feed the team.
That is, S+L>5
Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L
Juan collects $90 for pizza. So, 7.25S+10.50L≤90
Therefore, the system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
To learn more about the system of inequalities visit:
https://brainly.com/question/16339562.
#SPJ2
In 8 divided by 1/5 the number 8 is the?
Answer:
Dividend
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Answer:
Dividend
Step-by-step explanation:
which COULD be the new coordinates of point D?
Answer:
It is B
Step-by-step explanation:
4, -4 is longer than 2 units
-2, -2 is longer than 2 units
-1, -4 is longer than 2 units
help me pls ! if you do l give you the brainiest
Answer:
a) 3x-7y and -7y+3x
Hope it will help you......Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m
Answer:
So, the system of equations are
x+y=40
x= 3 y
Step-by-step explanation:
Let's make system of equations for the given information.
Let x number of bracelets and y number of necklaces made.
So, for the information
She makes a total of 40 bracelets and necklaces, we can set up equation as
x+y=40
Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as
x=3 y
PLEASE HELP whats the answer for this problem
Answer:
it is 20 me and that other kid did the same thing
Step-by-step explanation:
5x+12 + 3x+8 =180
8x=180-20
8x=160
hope that helps brainly plz
x=20
It took Sharon 1 hour and 45 minutes to pick 3 1/2 pounds of raspberries. At what unit rate did Sharon pick raspberries?
A. 1/2 pound per hour
B. 1 3/4 pounds per hour
C. 2 pounds per hour
D. 2 1/4 pounds per hour
Answer:2 pounds per hour
Step-by-step explanation:
I just did it
Answer:
2 pounds per hour
Step-by-step explanation:
-8(4+1)
Giving brainlist to the person who gets it right
Answer:
-40
Step-by-step explanation:
I think that's the answer
Answer:
-32
Step-by-step explanation:
solve with order of operations (PEMDAS)
-8(4+1)
-8(4)
-32
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
11,60,62
Hope this helps
−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.
Answer:
-0.2
Step-by-step explanation:
it's that exact answer , I did not rounded
Really need help on this math question! “Jill is draining her pool before winter arrives.
Initially the pool has 2000 gallons of water.
The pool is draining at a rate of 8 gallons per minute.
Write a function to model this situation.”
Answer:
f(x)=2000-8x
Step-by-step explanation:
2000 is initial amount that gets subtracted
8x is the amount of gallons being siphoned out, where x is t, or minutes.
a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?
Answer:
The car's value is depreciating by $2,990 per year.
Step-by-step explanation:
To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.
28,500 - 25,510 = $2,990
Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.
Hope this helps! :D
Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.
Answer:
six
Step-by-step explanation:
Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.
It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.
There are 57 balls in a bucket. The balls are numbered from 1 to 57. One ballis randomly selected from the bucket.
What is the probability that ball #54 is chosen?
Answer:
1/57
Step-by-step explanation: