Answers
Answer: aₙ = 3 + 4ⁿ⁻¹
So the formula would be:
aₙ = 3 + 4ⁿ⁻¹
Where a₁ = 3
Common Ratio (r) = 4
And n = the term number that needs to be found out
Step-by-step explanation:
Let's check if the answer is right:
To find the 1st number in the term we can substitute 1 in for n in the equation:
a₁ = 3 + 4¹⁻¹
a₁ = 3 + 4⁰
a₁ = 3 + 1
a₁ = 4
And if going back and checking the first number in the sequence given is indeed 4, therefore this equation is correct
Hope this helps!
Related Questions
Pls help if u know math
Answers
Answer:
x = 4
y = 11
Step-by-step explanation:
Set your formula as follow:
2x+3=3x-1 -> 2x+3-3x=-1 -> -x+3 = -1 -> -x=-4 -> x=4
now substitute x for 4 in the following
y-2=2(4)+1 -> y-2=8+1 ->y-2 = 9y -> y=11
Answer:
x= 4
y+11
Step-by-step explanation:
Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
passing through the point (3, -12).
Answers
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
Can anyone please explain how to find the area of each type of 3d composite figure? Please make it easy for me to remember, long paragraphs make it hard, Thanks! if your explaintion helps me I'll give you brainliest!
Answers
Answer:
Ok look i dont know but
Step-by-step explanation:
if you like this i will gift you a prize.
Please hurry, this is past due!
A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.
A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices
Answers
need help finding area
Answers
Below is the processed I used. If you have any questions let me know!
Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.
Answers
Answer:
B
Step-by-step explanation:
We can determine the total miles run by the 10 students by adding all the miles run by each individual student:
A
1 student * 1/12 miles = 1/12 miles
2 students * 1/8 miles = 2/8 miles = 1/4 miles
1 student * 1/6 miles = 1/6 miles
2 students * 1/4 miles = 2/4 miles = 1/2 miles
1 student * 1/3 miles = 1/3 miles
3 students * 1/2 miles = 3/2 miles
We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.
B
2 students * 1/6 miles = 1/3 miles
2 students * 1/4 miles = 1/2 miles
2 students * 1/3 miles = 2/3 miles
3 students * 1/2 miles = 3/2 miles
1 student * 1 mile = 1 mile
We add all these fractions to obtain 4 miles, which is as the question describes.
I need help with this please help meeee:(!
Answers
Answer:
f=c+2
Step-by-step explanation:
The product of a number and 3 is the sum of the number and 12. What is the number
Answers
Answer:
6
Step-by-step explanation:
3n = n + 12
2n = 12
n = 6
Answer:
6
Step-by-step explanation:
let the number be x , then
3x = x + 12 ( subtract x from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
That is the number is 6
Which of the points shown below are on the line given by the equation y = 2x? Check all that apply.
A. Point A: (1, 2)
B. Point B: (-1, -2)
C. Point C: (4, 2)
D. Point D: (0, 2)
Answers
Hey there I just saw no one answered this problem and I know this is a little late but I will answer it anyways.
Answer: The answer to this problem would be points A and B
In 2011, there were five hundred seventy-one thousand, one hundred eight people in the United States Army. What is that number in standard form?
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Number of people in the U.S Army = Five hundred seventy-one thousand, one hundred eight people
Number in standard form = 571,108
Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?
Answers
Answer:
1750
Step-by-step explanation:
divide 7500 by 2 and you get 3750
3750-2000=answer
Answer:
1750
Step-by-step explanation:
7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.
3750-2000=1750 needed to save.
Please help we with this angle relationship
Answers
Answer:
x=5 30 degrees
Step-by-step explanation:
theres 90 degrees in the right angle and you already have 60 degrees so you know it has to equal to 90 degrees so it has to be 30 degrees and 6 x 5 is equal to 30
Does anyone know this
Answers
Answer:Answer:
13.0feet
Step-by-step explanation:
Given ΔDEF with ∠F=90°, the measure of ∠D=19°, and DE = 40 feet, since one of the angles of the triangle is 90°, the triangle is a right angled triangle as shown in the attachment.
Using SOH, CAH, TOA to get the unknown EF.
Since <D is opposite to side EF, EF will be the opposite while side DE will be the hypotenuse
Based on SOH:
Sin<D = Opposite/Hypotenuse
Sin<D = EF/DE
Sin19° = EF/40
EF = 40sin19°
EF = 13.0 feet to the nearest tenth of a foot
Simplify 3(-6+4) please
Answers
Answer:
−6
Step-by-step explanation:
3(−6+4)
=(3)(−2)
= −6
Hope this helps :)
Do the Brackets
-6+4=-2
Now multiply 3 and -2
3*-2=-6
You have your answer
-6
factorise
3(m-4)+b(4-m)
Answers
Answer:
-(m-4)(b-3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping
Answer:
(m-4) (3-b)
Step-by-step explanation:
See the steps below:)
Wildlife reserve has 7 lion cubs born in the spring and now has 41 total lions. Write an equation to represent the situation.
Answers
Answer:
(x + 7) = 41
Step-by-step explanation:
Let the number of lions in the wildlife reserve = x
Since, 7 lion cubs were born, so the total number of lions in the wildlife reserve will be (x + 7)
Now total number of lions = 41
Therefore, equation representing this situation will be,
(x + 7) = 41
Look at this expression. 150/ 8 What is the value of the expression?
A 1.8
B) 1.875
C) 18
D) 18.75
Answers
Answer:
Step-by-step explanation:
The required simplified value of the expression 150/8 is 18.75. Option D is correct.
To simplify the expression 150/8, using arithmetic operations,
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
To simplify 150 / 8 as where "/" is the division operator,
So,
150 / 8 = 18.75
Thus, the required simplified value of the expression 150/8 is 18.75. Option D is correct.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ2
An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is not divisible by 2, 7, or 9.
A. 13/50
B. 16/25
C. 9/25
Answers
Answer:
13/50
Step-by-step explanation:
The probability is 13/50.
Answer:
9/25 on odyssey
Step-by-step explanation:
8 (x + 4) = 62.4 what does x represent
Answers
Answer:
8 (3.8 + 4)
Step-by-step explanation:
x=3.8
A rectangular park is 100 yards wide and 145 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area.
Answers
Answer: width=295 lenght =295
Step-by-step explanation:perimeter=l plus l and w plus w
100 plus 100 plus 145 plus 145=490/2=245
Answer:
width = 110 yards
length = 135 yards
Step-by-step explanation: I think.
PLEASE HELP ASAP!! No explanation needed. Just yes or no please!
Answers
Answer: A) Yes, it is a solution.
=================================================
Explanation:
Replace every x with -3 and simplify both sides.
3x - 2 < 2 - 2x
3(-3) - 2 < 2 - 2(-3)
-9 - 2 < 2 + 6
-11 < 8
Since -11 is to the left of 8 on the number line, this means the inequality -11 < 8 is true. Consequently, it means the first inequality is true when x = -3.
Therefore, x = -3 is a solution.
1. Find the surface area of the prism.
2. Find the volume of the pyramid.
Answers
Answer:
1. surface area is 280 2. 144
Step-by-step explanation:
please mark as brainliest if correct
thank you
(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
208
104
Answers
Answer:
480
please mark brainliest
95 feet above sea level would be expressed by the
Answers
Answer:
Above sea level x+95
Step-by-step explanation:
brainliest?
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Answers
Answer: Im pretty sure its 1
Step-by-step explanation:
Because 11 is the only alternate exterior angle
TRUE OR FALSE The sine function represents the x- coordinate?
Answers
Answer:
It is false, the sine function represents the y-coordinate while the cosine function represents the x-coordinate
Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?
Answers
Answer:
29
Step-by-step explanation:
x+11÷8=5
5 × 8 = 40
40- 11 = 29
29 + 11 ÷ 8 =5
thirty-six men can paint a shopping mall in 25 days. How many days will it take 15 men to paint the mall, if they work at a same rate?
Answers
Answer:
12.5 days
Step-by-step explanation:
Given
No of workers= 30
Time taken to paint shopping mall= 25 days
Assume time taken for 15 men =X
Time taken for 15men to paint X= (15*25)/30
=12.5 days
You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The letters on the spinner are E, B, G, K, D, and H. Find the P(G and prime number). Write your answer as a fraction or a decimal
Answers
===========================================================
Explanation:
The only prime number of the list of values given is the value 13. This is because the only factors are 1 and 13. Something like 24 isn't prime because 2 is a factor.
The probability of rolling to get a prime number is 1/6 because there is one prime out of 6 total values listed.
The probability of spinning on "G" is also 1/6 because there is only one section labeled "G" out of 6 sections total.
Assuming both events are independent, we multiply the probabilities to get (1/6)*(1/6) = 1/36 which represents the probability of rolling a prime number and spinning on G.
Side note: 1/36 = 0.0278 = 2.78% approximately
The measure of an angle is 68.8 degrees. What is the measure of its complementary angle
Answers
Answer:
complementary angles are sum up to 180°
68.8+x=180°
68.8 complementary angle is 111.2