Answers
Given:
The recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]
[tex]a_1=-3[/tex]
To find:
The explicit formula of the given geometric sequence.
Solution:
We know that, first term of geometric sequence is [tex]a_1=-3[/tex].
Recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\times r[/tex] ...(i)
where, r is common ratio.
We have,
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]r=\dfrac{1}{8}[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=a_1r^{n-1}[/tex]
Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get
[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]
Therefore, the correct option is D.
Related Questions
8 is what percent of 24?
What is 63% of 130?
36 is 15% of what number?
A farmer decides to sell 32 pounds of his small 96 pound potato crop. What percent of the crop did he sell?
A university has 480 female students. This represents 64% of the student body. How many students are enrolled in the university?
Answers
Answer:
1, 33.3
2, 81.9
3, 240
4, the farmer sold 33.3 of his crops
5, 750 students are enrolled.
Answer:
1. 8 is 33.3333333% of 24. 2. 63% of 130 is 81.9. 3. 36 is 15% of 240. 4. 30.72% of crops. 5. 750 students
Step-by-step explanation:
Hope this helped you!! Give brainliest.
What is the equation for the line in slope-intercept form?
Answers
Answer:
y = 8x
Step-by-step explanation:
I believe counting up from the origin to the last point gives a slope of 8/1 which there wouldn't be a y-intercept in the equation.
What is the sin value of 5pi/3
Answers
Answer:√(3)/2
hope that helped you:)
please make my answer brainiest as im trying get 4 brainiest answers
what is m% of n please help
Answers
m% of n would technically be some amount of n. To find m%, you would have to do n * 0.m to find your answer
Ariane borrows $200 on a 2−year loan. She is charged 5% simple interest per year. How much interest is she charged for 2 years? What is the total amount she has to pay back?
Answers
Answer:
Interest charged over two years: $20
Total amount: $220
Step-by-step explanation:
The formula for simple interest is A = P ( 1 + rt ).
A = 200 ( 1 + (0.05 * 2))
A is the total amount ( interest + principle )
A = 220
P is the principle ( initial amount deposited )
P = 200
R refers to rate (in percent)
R = 0.05
T = time period (in years)
T = 2
This probability distribution shows a typical grade distribution for a geometry course with 35 students. Find the probability that a student earns a grade of B or C. PLEASE HELPPP
Answers
Answer:
0.71
Step-by-step explanation:
You basically add both amount of students that earned a B or C
After doing that you should get 25 in total, therefore leaves you with 25/35
Divide and you basically get your answer
0.71
Answer:
.71
Step-by-step explanation:
PLEASE HELP!!! It’s about exponential functions. I will mark brainliest!!!!!!
Answers
ejt-vokv-opj join to teach
Answers
Answer:
ive seen this before its not to teach what you think stay away from it
Answer:
i thought this was a different language
Step-by-step explanation:
smh
g Find the required probabilities using the exponential density function f(t) = 1 λ e−t/λ, [0, [infinity]). The time t (in years) until failure of a component in a machine is exponentially distributed with λ = 3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 2 years but less than 4 years, and at least 5 years. (Round your answers to three decimal places.) (a) less than 1 year (b) more than 2 years but less than 4 years (c) at least 5 years
Answers
Answer:
(a) less than 1 year =0.751488
(b) more than 2 years but less than 4 years = 0.2458
(c) at least 5 years= 0.760331
Step-by-step explanation:
f(t) = 1 λ e−t/λ, [0, [infinity])
First we calculate the probability for an exponential random variable X with parameter λ
P (X= t) = ∫ 1 λ e−t/λ, dt
P (x=t) = e−t/λ,
λ = 3.5
Now P (X< 1 ) = ∫ 1 λ e−t/λ, dt [the limits are (-∞ to 1)]
= e−1/3.5= 0.751488
P ( 2<X< 4 ) = ∫ 1 λ e−t/λ, dt [ the limits are (2 to 4)]
=e−2/3.5- e−4/3.5
= e-0.57142-e-1.142857
= 0.5647-0.31890
= 0.2458
P (at least 5) = 1- P (x=5)
= 1-∫ 1 λ e−t/λ, dt [ the limits are (∞ to 5)]
= 1- e−5/3.5
= 1 - e-1.4285
= 1-0.239
= 0.760331
Cal plans to paint a wall that is 9 feet tall and 9 feet long. He buys a can of paint that covers 100 square feet. Which of the following statements apply?
He will have half a can of paint left over.
He will have less than half a can of paint left over.
He will NOT have enough paint.
He will have exactly enough paint.
Answers
Answer:
D
Step-by-step explanation:
that is 100-81
=19
meaning the paint shall be enough
For history class, Joe spent 2 hours writing a 4-page report on ancient Egypt. This weekend, he needs to write a 12-page report on the Roman Empire.
If he writes at the same rate, how long will it take Joe to write his report?
Answers
Answer:
2hours/4pages
2/4=1/2
1/2=x/12
cross multiply
12=2x
divide by 2 both sides
6=x
6 hours
Answer:
the answer is 6
Step-by-step explanation:
Riz got $200 for his birthday. He bought several long tennis rackets that cost $45.50 each. After the purchase he has $18 . Write an equation to find out how many rackets he bought and then find the number of rackets.
Answers
Answer:
he has bought 18 rackets.
Step-by-step explanation
papa loves a big juicy peen inside of him
Answer:
4
Step-by-step explanation:
(200-18)/45.50
= 182/45.50
= 4
1) Find the product of -5x2y4 and 3xy3
Answers
Answer:
Answer: -15x3y7
Step-by-step explanation:
Answer:
-15x3y7 is the answer
Step-by-step explanation:
3
6x
21(x + 1) 21(x + 1 )
.
Answers
21(x+1)=21x+21?
3*6x=18x
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Answers
Answer:
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Step-by-step explanation:
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Lines a, b, c, and d are distinct lines in the same plane. Decide if lines a and d are parallel, perpendicular, or if there is not enough information
Answers
Answer:
A. Parrellel
Step-by-step explanation:
it is parrellel because if you look between b and c you can
see that it is a parrellel line
please help i have no idea
Answers
5-(-3.8) + 1.5
I don't understand how to work problems like this
Answers
5+3.8+1.5. You just type in your calculator and get your answer.
The answer is 10.3! Hope this helped!
When there is a in front of an expression in parentheses, change the sign of each term in the expression.
So it becomes 5 + 3.8 + 1.5
Now it’s just simple math....
Ethan worked for 2 3/4 hours and earned $20.90.
How much would he make if he worked for 7 1/4 hours?
Answers
In 7 1/4 hours he will make:
7,6 * 7,25 = 55,1$
What is the equation of the line that passes through the points (-1, 3) and (1, 11)? (5 points)
4x - y = 1
x - 4y = -13
4x - y = -7
4x + y = 1
Answers
Answer:
4
Step-by-step explanation:
I am pretty sure its that one
In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
Answers
Answer:
[tex]XY = 4.9[/tex]
Step-by-step explanation:
Given
[tex]XZ= 4[/tex]
[tex]\angle Y = 45[/tex]
[tex]\angle Z = 60[/tex]
Required
Determine the measure of side XY
To do this, we make use of sine law. This is as follows:
[tex]\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}[/tex]
In this case:
[tex]\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}[/tex]
Cross Multiply
[tex]XY * \sin(45) = 4 * \sin(60)[/tex]
[tex]XY * 0.7071 = 4 * 0.8660[/tex]
Make XY the subject
[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]
[tex]XY = \frac{3.4640}{0.7071}[/tex]
[tex]XY = 4.89888276057[/tex]
[tex]XY = 4.9[/tex] -- approximated
In which situation would it be appropriate to use square feet as a measurement?
Answers
Answer:
The correct answer is B ; Karla must determine the area of a floor in her house.
Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9
(–6, –3)
(0, 4)
(–3, 8)
(1, 2)
Answers
Steps:
Multiply the second equation by 6 in order to eliminate the x variable.
6x-7y= -8
6(-x-4y= -9)
6x-7y= -8
-6x-24y=-54
Add the equations together and solve for y
-31y= -62
Y=2
Substitute y=2 in the original equation
-x-4(2)= -9
-x-8= -9
-x= -1
X=1
Answer: (1,2)
Am I correct?
Or not, please
Answers
Answer:
No you are not correct.
Step-by-step explanation:
This answer choice is A.
hope this helps!!
Yes.
The positive numbers are greater than the negative numbers.
The ratio of berries to oranges is 12:5. If there are 25 oranges, how many berries are there
Answers
Answer:
60
Step-by-step explanation:
5*5 is 25
then 12 * 5 is 60!
what is 5 and 9 tenths times 1 and 9 tenths
Answers
Answer:
11.21
Step-by-step explanation:
5.9*1.9
rlly need help plzzzzzz
Given f(x) = x², write the new equation of j(z) if j() = – 2f(x + 6) + 9. You do not need to simplify.
Answers
Answer:
gurl im sorry
Step-by-step explanation:
i dony know the answer im just here for points
Please help guys I need it
Answers
Answer:
a= 20
b= 169.7
c= 29.71
Step-by-step explanation:
The formula of a triangle is (h*b)/2
a= (5*8)/2
b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2
c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2
6. What are the dimensions of this matrix?
Answers
Answer:
the dimensions will be 2 x 1
Option C is correct option.
Step-by-step explanation:
We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]
The dimensions consists of rows and columns in the form. Rows x Columns
In the given matrix the rows are: 2
The columns are: 1
So, the dimensions will be 2 x 1
Option C is correct option.
Sad Ariana Grande Facts/Moments pt.2
Ariana preformed in Pittsburg, Mac millers hometown. Not only did they split up, but he passed. She sang Thank u, next (more emotional than you might think) and was in tears :( i cry inside when i see her like thissss