Given:
The explicit function is:
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]
To find:
[tex]f(1)=?,r=?[/tex] and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
[tex]f(n)=ar^{n-1}[/tex] ...(i)
Where, a is the first term and r is the common ratio.
We have,
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1000[/tex]
[tex]f(1)=1000[/tex]
And,
[tex]r=\dfrac{1}{4}[/tex]
For [tex]n=1[/tex],
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]
[tex]f(1)=1000(1)[/tex]
[tex]f(1)=1000[/tex]
For [tex]n=2[/tex],
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]
[tex]f(2)=1000\times \dfrac{1}{4}[/tex]
[tex]f(2)=250[/tex]
Similarly, substituting [tex]n=3,4,5[/tex], we get
[tex]f(3)=62.5[/tex]
[tex]f(4)=15.625[/tex]
[tex]f(5)=3.90625[/tex]
Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].
Given:
The explicit function is:
To find:
and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
...(i)
Where, a is the first term and r is the common ratio.
We have,
...(ii)
On comparing (i) and (ii), we get
And,
For ,
For ,
Similarly, substituting , we get
Therefore, and the first five terms are .
What’s the answer ? Please help
Answer:
C.
Step-by-step explanation:
PLEASE HELP!
NO LINKS!
I only need help on letter d!!
I REALLY NEED HELP!!! what is the answer to this one?
I think the answer is A. I will check if it is wrong
Someone help plz make sure it’s right?
Help please I need it
Answer:
okk
Step-by-step explanation:
Answer:
11.401754251
Step-by-step explanation:
I used the Pythagorean theorem to solve. 9 * 9 + 7 * 7 = 130 and the square unit of 130 is 11.401754251 but you should be fine by putting 11.4.
sorry if I'm wrong:(
what is the volume ( round to nearest tenth if necessary)
Answer:
V = 240 cm^3
Step-by-step explanation:
The volume formula for a cone or triangular prism such as this one is
V = (1/3)(base area)(height), which here is:
V = (1/3)(80 cm^2)(9 cm), or V = 240 cm^3
The 1,840 rock concert tickets sold were twice the amount of jazz concert tickets sold.
Vincent has a box of popsicles. There are 12 cherry, grape 10 orange, and 6 blue raspberry If he reaches in the box and pulls one out at random, what the probability it will be blue raspberry?
Answer:
6:28 or 3:14
Step-by-step explanation:
if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14
Answer:
6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14
I have found the area but I'm not sure how to find the perimeter.
Answer:
20+20+24+24=88
88/2=44
88+44=132
Step-by-step explanation:
If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.
What is the circumstances if the diameter is 68ft
Answer:
Step-by-step explanation:
diameter = 68ft
Radius = 34ft (68/2)
Circumference =213.6283 (68 x pi)
un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414
which property of equality should you use to solve the equation for x? -3x = 21
A. The division property of equality
B. The subtraction property of equality
C. The addition property of equality
D. The multiplication property of equality
Answer:
A. The division property of equality
Step-by-step explanation:
To get x you need to find a way to get it by itself, which can be done by dividing -3 from both sides of the equation (which is the division property of equality).
For example,
-3x=21
/-3 /-3
x=21/-3
x=-7
Add 2 scores to the data set below so that the median does not change. List the two scores you used, and explain what must be true about the numbers that you would need to use
84, 73, 91, 61, 98, 88, 77
PLEASE HELP‼️‼️‼️ i need this done by 2pm PST‼️
I'll answer the second question, we are told student can read 80 words in 5 min, so how many words can he read in a min, all we need to do is 80/5 to get 16 and thats your answer!
16 words per minute
((No links allowed))!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)
Answer:
z=25
Step-by-step explanation:
(3+5)^2+[8-11]+z=4(z-2)
(8)^2 +3+z=4z-8
square 8
add 8 to both sides
mines z from both sides
64+3+8=3z
75=3z
25=z
Please help! If you do you will get 'Brainliest'
Answer:
B) -1
Step-by-step explanation:
Move point A to one, it has moved 1/2
Move to 0 it has moved 1 1/2 from point A
Move to -1 it has moved 2 1/2 from point A
Which statement about the quadratic equation below is true?
2x2 - 15x + 18 = 0
Answer:
x=3/2 or x=6
Step-by-step explanation:
2x2−15x+18=0
Step 1: Factor left side of equation.
2x^2-12x-3x+18=0
taking common factors
2x(x-6)-3(x-6)=0
(2x−3)(x−6)=0
Step 2: Set factors equal to 0.
2x−3=0 or x−6=0
x=3/2 or x=6
(Photo attached) Is Tamara's work correct? If not, what is the first step where Tamara made a mistake?
f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)
Answer: -6x + 15
Step-by-step explanation:
f (x) = 3
g (x) = -2x + 5
3 (-2x+5)
= -6x +15
find the mean and median of the data set 23,25,38,42,54,57,65
Answer:
Mean: 43.43
Median: 42
Step-by-step explanation:
Can somebody help me with one of these i literally don’t get it.
Answer:
basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves
Step-by-step explanation:
Answer:
Step-by-step explanation:
A satellite is at a distance of 1.3776 x 108 feet from the center of Earth. There are approximately
3,280 feet in a kilometer. What is the distance in kilometers between the satellite and the center of Earth?
Write your answer in scientific notation.
Enter only your answer in the space provided.
Answer:4.2 x 10^4 your welcome
Step-by-step explanation:
Which of these can not form a perpendicular bisector?
O A. a line segment
O B. a circle
O C. a pair of parallel lines
O D. a right triangle
The solution is : Second option is correct. O B. a circle, can not form a perpendicular bisector.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Since we know that to form perpendicular bisector .
We need atleast two lines which form right angle.
So, right triangle can form perpendicular bisector with base and height.
Parallel lines can also form perpendicular bisector if a line is drawn from mid point of one line to mid point of another line.
A line segment can form perpendicular bisector.
But circle can't as it is curved shape it needs line to make perpendicular bisector.
Hence, Second option is correct. O B. a circle, can not form a perpendicular bisector.
Learn more about circle here:
brainly.com/question/11833983
#SPJ5
What is the approximate value of
3
√
35
?
Answer:
17.7
Step-by-step explanation:
Use a calculator. Enter 3 and then √35. The calculator should return
17.748. Round this off to 17.7.
Answer:
17. 7 is the answer.
Step-by-step explanation:
#CarryOnLearningPls HELPPPP HURRYYY PLSS
Answer:
A. 1 unit
Step-by-step explanation:
A cube has the same dimensions on each side, and the unit is 1 unit cube, none of the other options match.
You can easily rule out, B & D. That leaves you with A & C, and A makes the most sense, since 1 cubic unit would be the volume, and this question is only asking for the side length.
Good luck, hopefully, this helped!
Of the possible outcomes in the sample space, how many times does the event of rolling a two occur?
Answer:
The event of rolling a two happens only once.
Step-by-step explanation:
sample explanation
Help please I did everything right but my answer is still wrong mark brainliest?
Answer:
5.6
Step-by-step explanation:
Find the arc length of the semicircle. Enter an exact answer in terms of . units
Answer:
The answer is 37.699111848 units or 0 units, pick
Step-by-step explanation:
2πr (θ/360)
pls im stuck and i really need help
There is website called symbolab to help , or desmos
Evaluate: 19 - 3k] = 3
Answer:
k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]
Step-by-step explanation:
|19 - 3k| = 3
-3k = 3 - 19
-3k = -16
k = 16/3
k = 5 1/3
-19 + 3k = 3
3k = 3 + 19
3k = 22
k = 22/3
k = 7 1/3
