A recursive formula for the sequence 18, 9, 4.5, ... is
Answers
Answer:
Hope this image helps answer your question
and mark brainliest please.
The recursive formula is aₙ= aₙ₋₁ /2 for n > 1.
What is Recursive Formula?A recursive formula is a formula used to describe a sequence of numbers, where each term in the sequence is defined in terms of the preceding term(s). In other words, it is a formula that uses one or more of the previous terms in the sequence to generate the next term.
The recursive formula for a sequence gives a way to find any term of the sequence using the previous term(s).
To find the recursive formula for the sequence 18, 9, 4.5, ..., we need to look at how each term is related to the previous term.
We can see that each term is half of the previous term, so the recursive formula is:
a₁ = 18 (the first term is given)
aₙ= aₙ₋₁ /2 for n > 1
This means that to find the nth term of the sequence, we divide the (n-1)th term by 2. For example:
a_2 = a_1/2 = 18/2 = 9
a_3 = a_2/2 = 9/2 = 4.5
a_4 = a_3/2 = 4.5/2 = 2.25
and so on.
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Related Questions
Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?
a) Write a let statement below to define your variable(s):
b) Set up an equation using the variable you defined in (a):
c) Solve your equation & Check. How many fish does Ms. Montesinos have? JUST TYPE THE NUMBER. EXAMPLE: IF SHE HAS 17 FISH JUST TYPE "17"
d) Upload a picture of your SOLUTION & CHECK.
plzz help mee
Answers
Answer:
a) Write a let statement below to define your variable(s):
Let the number of fishes Ms. Montesinos has be represented by = f
b) Set up an equation using the variable you defined in (a):
The equation is :
3f - 2 = 13
c) Solve your equation & Check. How many fish does Ms. Montesinos have?
Ms. Montesinos has 5 fishes
Step-by-step explanation:
Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?
a) Write a let statement below to define your variable(s):
Let the number of fishes Ms. Montesinos has be represented by = f
b) Set up an equation using the variable you defined in (a):
We are told in the question:
Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has.
Therefore,
3× f - 2 = 11 + 2
The equation is :
3f - 2 = 13
c) Solve your equation & Check. How many fish does Ms. Montesinos have?
Solving the above equation:
3f - 2 = 13
3f = 13 + 2
3f = 15
Divide both sides by 3
3f/3 = 15/3
f = 5
Hence, Ms. Montesinos has 5 fishes
pls complete it (picture)
Answers
Answer:
1. Perimeter: 26 Area: 30
2. Perimeter: 20 Area: 25
3. Perimeter: 38 Area: 144
Step-by-step explanation:
Perimeter you add all the sides and area you multiply length times height.
How do you calculate slope using a graph?
Answers
Answer: Determine the difference in y- coordinates of these two points
Step-by-step explanation:
(7TH GRADE LEVEL) Please complete Number 15 all parts.
Answers
Answer:
A - 12
B - 12
C - (-2)
D - (-24)
E - 2
F - (-4)
G - 12
H - (-64)
Hope this helps!
Your team is in charge of games at the Amusement Park. One of the games involves a robotic arm that randomly grabs a stuffed animal out of a large bin. You need to set up the game so that the probability of a customer’s grabbing a teddy bear is exactly 1/2
a. how would you set up the bin? Explain.
B. What if you returned to check on the bin and found that there are 4 teddy bears left and 12 other animals? What could you add to or remove from the bin to return the probability of selecting a teddy bear to 1/2?
Answers
Answer:
a. I would put 20 stuffed animals in the bin, out of which 10 would be teddy bears.
So that the probability is 10/20 = 1/2
b. I could remove 8 other animals from 12 to have 4. So that the total number of stuffed animals is 8. 4/8 = 1/2
Step-by-step explanation:
a. Probability =
number of required outcomes / number of possible outcomes
If in the bin there are 10 teddy bears out of 20 stuffed animals,
Then the probability of picking a teddy bear = 10/20 = 1/2.
b. If on returning, there are 4 teddy bears and 12 other animals, I could simply remove 8 of the other animals to have 4 other animals and a total of 8 stuffed animals.
Probability = 4/8 = 1/2
Kristi gets $10 a week from her parents if she washes the dishes after dinner every night. Kristi has saved up $30 over the last few weeks from her allowance. She wants to continue saving her allowance until she has enough money to buy the $70 bike she saw at the store last week. Assuming Kristi receives her allowance every week, write an equation that shows how many more weeks Kristi has to save her allowance to buy the bike, where w is the number of weeks.
Answers
Answer:
4
Step-by-step explanation:
70=10w+30
70 is the total she needs for the bike, 10 is the total amount of dollars she gets per week, w is the total numbers of weeks she worked, and 30 is the total amount of money she already has.
What value
cannot be
included in
The domain
3x+1
2x+10
Answers
Answer:
x= 9
Step-by-step explanation:
chris has a collection of dimes and quarters worth $4.25. if she has 23 coins total, how many quarters does she have.
Answers
Answer:
b
Step-by-step explanation:
Need help. (please look at the image file)
Answers
The number of bacteria at the beginning of an experiment was 30 and the bacteria
grow at an hourly rate of 1.4 percent. Using the model given by A(t) = A0e^kt,
estimate the number of bacteria, rounded to the nearest whole number after 20 hours.
Answers
Answer:
The answer is 49,197
Step-by-step explanation:
I multiplied the previous number by 1.4, 20 times.
what is X for this 2x+7-6x=23
Answers
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]2x+7-6x=23[/tex]
[tex]-4x+7=23[/tex]
[tex]-4x=16[/tex]
[tex]x=-4[/tex]
Answer:
x=-4
Step-by-step explanation:
2x+7−6x=23
Step 1: Simplify both sides of the equation.
2x+7−6x=23
2x+7+−6x=23
(2x+−6x)+(7)=23(Combine Like Terms)
−4x+7=23
−4x+7=23
Step 2: Subtract 7 from both sides.
−4x+7−7=23−7
−4x=16
Step 3: Divide both sides by -4.
−4x
−4
=
16
−4
x=−4
4(5x-2)=2(9x+3)
help please!
12 points and
brainliest
Answers
Answer:
x = 7
Step-by-step explanation:
Given
4(5x - 2) = 2(9x + 3) ← distribute parenthesis on both sides
20x - 8 = 18x + 6 ( subtract 18x from both sides )
2x - 8 = 6 ( add 8 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Hey can somebody plz help me with this question plz ?
Answers
Answer:
i think its 90 cuz they seem perpendicular
The record of an athlete shows that she scores 0.82 of the points she attempts to make. What is the probability that she makes her first point on attempt number 4?
Answers
Answer:
The probability is 0.00478224
Step-by-step explanation:
Probability of scoring an attempt is 0.82
Probability of not is 1-0.82 = 0.18
So making the first point in attempt number 4 means that she failed the first three
So we have the probability as;
0.18 * 0.18 * 0.18 * 0.82 = 0.00478224
Two angles of a triangle have measures of 30° and 45°.
What is the measure of the remaining angle?
Enter the correct answer in the box.
Answers
Answer:
30+45+x=180(sum of all angles of triangle is equal to 180 degree)
75+x=180
x=180-75
x=105
The measure of the third interior angle is 105°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We also know that the sum of all the interior angles of a triangle is 180°.
Given, Two angles of a triangle have measures of 30° and 45°, assuming the third angle to be x.
∴ 30° + 45° + x = 180°.
x + 75° = 180°.
x = 180° - 75°.
x = 105°.
So, the measure of the third angle is 105°.
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function
not a function
cannot tell from given representation
Answers
Answer:
it is because all the x values correspond to one number
Step-by-step explanation:
The ratio of boys to girls in a class is 2:3. There are 30 students in the class. How many more girls than boys are there?
Answers
Answer:
boys: 12
girls: 18
Step-by-step explanation:
2+3=5
30/5=6
boys: 6*2=12
girls: 6*3=18
to be sure...
12+18=30
Which values or a,b,and,c correctly represent the answer in simplest form 3 1/2 divided by 2 1/4 = a b/c
Answers
Answer: 1 5/9
Step-by-step explanation:
Solve the equation.
p-13 over 14 = -3
Answers
Answer:
p = -29
Step-by-step explanation:
p-13/14 = -13
~Simplify
1/14p - 13/14 = -3
~Add 13/14 to both sides
1/14p = -29/14
~Multiply 14 to both sides
p = -29
Best of Luck!
Which of the following is not a factor that affects your auto insurance premiums?
a year, make, and model of your car
b. where you live
c. the color of your car
d. overall value of your car
Answers
The option that is not a factor that affects your auto insurance premiums is; C: The Colour of your Car
What is Insurance Premium?The amount you'll pay for car insurance is determined by a number of factors. Now, the factors that mainly determines the bottom line on your auto policy include;
Your driving record.How much you use your carYour ageLocationGenderThe car you driveYour Credit ScoreThe type and amount of auto insurance coverageNow, looking at the various factors and comparing to the given options, the only odd one out is the colour of your car.
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The color of your car is not a factor that affects your auto insurance premiums.
Option C is the correct answer.
What is auto insurance?Auto insurance premiums are calculated based on a variety of factors, including the year, make, and model of your car, where you live, your driving history, your age, and the overall value of your car.
We have,
Insurance companies use statistical models to assess the risk associated with insuring a particular driver and car, and these models take into account a wide range of factors that are known to impact accident rates and insurance claims.
However, the color of your car is not typically considered a significant factor in determining insurance premiums.
While some people believe that red cars or other bright colors may be more likely to get pulled over or be involved in accidents, there is little evidence to support this idea.
Insurance companies are more concerned with the make and model of your car, as well as other factors that are known to impact risk.
Thus,
The color of your car is not a factor that affects your auto insurance premiums.
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Slope Intercept Form
Answers
Answer:
Y = mx + b
Step-by-step explanation:
Is this what you asked for???
explanation:
Can ΔTSR and ΔQRS be proven congruent by SAS?
yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
yes, because a reflection will map ΔTSR onto ΔQRS
yes, because P appears to be the midpoint of SQ and TR
no, because not enough is information given to prove the triangles congruent by SAS
Answers
Answer:
d. No, because not enough is information given to prove the triangles congruent by SAS
Step-by-step explanation:
It doesnt give u measures of some important angles. I also got it right
Answer:
D. no, because not enough is information given to prove the triangles congruent by SAS
Step-by-step explanation:
edge2021
Pablo has completed 44 deliveries so far this week. He needs to make 55 deliveries for the week. What
percentage of his deliveries has Pablo completed?
Answers
Answer:
80%Step-by-step explanation:
step one:
completed delivery = 44
total delivery to be made= 55
Step two
Required is the percentage completed
the formula is
=completed/total*100
=44/55*100
=0.8*100
=80%
Hence Pablo has completed 80% of the deliveries so far
suppose a triangle has sides 1,1,1 which of the following must be true
Answers
Answer:
1
Step-by-step explanation:
how do i evaluate p=2l+2w if l=5 and w =3
Answers
Answer: p = 16
Step-by-step explanation:
Replace the I with 5 and the W with 3.
2(5) + 2(3) = 10 + 6 = 16
Evaluate 8-m/n+p^2when m=8,n=2,p=7
Answers
Answer:7 43/51
Step-by-step explanation:
The value of the given expression after the substitution method is 53 and this can be determined by using the arithmetic operations.
Given :
Expression -- [tex]8-\dfrac{m}{n}+p^2[/tex]
The following steps can be used in order to evaluate the given expression:
Step 1 - Write the given expression and equate it to a variable 'a'.
[tex]a = 8-\dfrac{m}{n}+p^2[/tex]
Step 2 - Now, substitute the values of m, n, and p in the above expression.
[tex]a=8-\dfrac{8}{2}+(7)^2[/tex]
Step 3 - Simplify the above expression.
[tex]a=8-4+49[/tex]
[tex]a = 53[/tex]
The value of the given expression after the substitution method is 53.
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The sums of _____ integers can be either positive or negative.
Answers
Answer:
positive and negative integers
20 POINTS PLEASE HELP ME.
(You have to also explain the reasoning you used to find the expression)
Answers
9514 1404 393
Answer:
560 +32x
Step-by-step explanation:
There are a number of ways the area can be subdivided. In order to minimize the number of expressions involving x, we choose to divide it this way:
Create a rectangle 52 yd by 40 yd that encloses the figure along with the empty space above the left side of the figure.
Subtract a rectangle whose dimensions are (40-x) by (52 -20) in the upper left corner of the previous rectangle.
Subtract a rectangle whose dimensions are 10 by 24 in the center of the figure.
Then the total area of the parking lot is ...
52·40 -(40-x)(32) -10·24 = 2080 -1280 +32x -240 = 560 +32x
The area of the parking lot is 560+32x square yards.
So each camper will get ½ cup of juice.
A=2 cups concentarte:3 cups water
B=5 cups concentrate:9 cups water
C=1 cup concentrate:2 cups water
D=3 cups concentrate:5 cups water
1. How many batches are needed to make 240 campers?
Please label it if its Mix: A, B, C, D
Please help meeeee
Answers
I think the answer is C
11. Sakima Lena is employed at Sigma Systems. She make $5,900.00 a month. What does Sakima earn per year?
$72,000.00
$70,800.00
$65,000.00
$141,600.00
Answers
Answer:
70,800 is your answer
Step-by-step explanation:
5,900*12=70,800