The next term in the sequence is obtained by subtracting 4 from the previous term:
13 = 17 - 4
9 = 13 - 4
5 = 9 - 4
and so on.
Recursively, we can describe the n-th term in the sequence (denoted a(n)) as a function of the (n - 1)-th term:
a(n) = a(n - 1) - 4
starting with a(1) = 17. So we have, for instance,
a(2) = a(1) - 4 = 17 - 4 = 13
We want to find an explicit formula for a(n), meaning we want a way to determine the n-th term only as a function of n, and not any other known term in the sequence. We can iteratively apply the recursive rule above:
a(n) = a(n - 1) - 4
a(n - 1) = a(n - 2) - 4
→ a(n) = (a(n - 2) - 4) - 4 = a(n - 2) - 2×4
a(n - 2) = a(n - 3) - 4
→ a(n) = (a(n - 3) - 4) - 2×4 = a(n - 3) - 3×4
a(n - 3) = a(n - 4) - 4
→ a(n) = (a(n - 4) - 4) - 3×4 = a(n - 4) - 4×4
and so on, down to
a(n) = a(1) - (n - 1)×4
The first term is a(1) = 17, so
a(n) = 17 - 4 (n - 1) = 21 - 4n
Pleaseee help!!!!!!!!
Answer:
no
Step-by-step explanation:
no
a. The sum of a number and one is equal to one added to the number.
12x-20=n(3x-5) what does n equal
1. Dixie has a bag of coins. The bag contains 10
dimes, 1 nickels, and 4 penny. She will randomly
choose a coin from the bag. What is the probability
that Dixie will NOT choose a penny?
C.
15
15
A.
B.
D. Not Here
4
Please help me I give brainilest
Answer:
Its A 11/15
Step-by-step explanation:
There are 15 probabilities and 4 of them are pennies which you cant choose from that elimenates 4 possible outomes so subtract the 4 you get 11.
10+[8 ÷ 2 ]to the power of 3=
Answer:
2744
Step-by-step explanation:
8 divided by 2 is 4
10 + 4 is 14
and 3rd power is 14x14x14
which is 2744
Answer:74
Step-by-step explanation:
74
If (x +1, y + 2) =(3, 4), find x and y.
Answer:
equating the correspondings
x+1=3
x=3-1
x=2
then,
y+2=4
y=4-2
y=2
Answer:
uuuunnnnññnnñnnnnnñnnnnñnnnñnnnnñ
I do my self o11
ILL MARK U AS BRAINLIEST PLS HELP
Answer:
The third one
Step-by-step explanation:
Answer:
Answer choice number 3
Step-by-step explanation:
If you subtract 35,000-31,000=4000
If you subrtact 27,000-23,000=4000
So the planes altitude drops -4,000 Ft every one minute
Hope this helps
Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?
Answer:
5.50x = 6,850
Step-by-step explanation:
Each ticket costs $5.50, and the total is $6,850.
Hope this helps! :)
PLEASE help me. thank you
Answer:
Each paper weight is half a pound
Step-by-step explanation:
The Empirical Rule says that: Group of answer choices outliers are within three standard deviations of the mean. about 32 percent of the data are beyond one standard deviation from the mean most business data sets are normally distributed in most business data we expect the mean and median to be similar.
Answer:
The Empirical Rule says that:
outliers are within three standard deviations of the mean.
Step-by-step explanation:
An outlier is an observed data value which lies some abnormal distance from other values in a population's random sample. The cut-off for an outlier is three standard deviations from the mean in a normal distribution. Therefore, the Empirical Rule concludes that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. In summary, the empirical rule concludes that 68% of the data falls within one standard deviation, 95% percent falls within two standard deviations, while 99.7% falls within three standard deviations from the mean.
If a person weighs 130 Ibs and they lose 1/10 of their weight.How much weight was lost
Answer:
13 lbs
Step-by-step explanation:
to find 1/10 we divide by 10
This can be found by moving the decimal back by one
So 130/10=13
13 lbs were lost
The person lost 13 lbs of weight.
What is weight?
Weight is the measure of how heavy an object is. Weight is measured in standard customary units. The mass of an object is the amount of material it contains.
Given that, the person weight=130 lbs and he lost 1/10 of his weight.
We need to find how much weight was lost.
Now, weight lost [tex]=\frac{1}{10} \times 130=13[/tex] lbs.
Hence, the person lost 13 lbs of weight.
To learn more about the weight visit:
https://brainly.com/question/10069252.
#SPJ2
5. Si un paquete de 100 hojas iguales mide 1 cm de altura, ¿cuál
es el grosor de una hoja?
Responder:
0,01 cm
Explicación paso a paso:
Dado que :
Un paquete de 100 hojas iguales = 1cm de alto
Esto significa que el grosor del paquete es de 1 cm de alto.
Dado que las hojas son iguales, el grosor de una sola hoja será:
(Espesor del paquete completo / número de hojas en el paquete)
(1 cm / 100)
= 0,01 cm
Usando proporciones, se encuentra que el grosor de una hoja es de 0.01 cm.
Esto problema é solucionado por proporciones, se utilizando de una regla de três.Hay 100 hojas iguales, al todo midiendo 1 cm de altura. ¿Cuál es la equivalente medida de 1 hoja?La regla de três es dada por:
100 hojas - 1 cm
1 hoja - x cm
Aplicando multiplicación cruzada:
[tex]100x = 1[/tex]
[tex]x = \frac{1}{100}[/tex]
[tex]x = 0.01[/tex]
Por eso, el grosor de una hoja es de 0.01 cm.
Un problema similar, que también envolve proporciones, es dado en https://brainly.com/question/24615636
if 50% is 100 what is 25%, 75%, and 100%
Step-by-step explanation:
25%=50
75%=150
100%=200
hope it helps
mark me brainliest
Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.
P
(
x
)
=
[
n
!
x
!
(
n
−
x
)
!
]
p
x
q
n
−
x
A.
12.4%
B.
24.7%
C.
32.1%
D.
62.3%
Answer: Your answer would be C) 32.1%
Step-by-step explanation:
With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)
Have a wonderful rest of your day!
Help me out hereeeeeeeeeeeeeee
Answer:
it is the first one because you times the 9 because it says twice and divide it by 3 because you donate to 3 parks
Step-by-step explanation:
What is the range of the mapping?
If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.
Answer:
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Step-by-step explanation:
Fundamental identities:
These following trigonometric identities are used to solve this question:
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
With the cossecant, we can find the sine. So:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]
[tex]11\sin{\theta} = 4[/tex]
[tex]\sin{\theta} = \frac{4}{11}[/tex]
With the sine, we find the cosine.
Since the tangent is negative, the cosine is negative. So
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]
[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]
[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]
[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Cotangent:
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
The soccer team played 30 games and lost 12 of those games. Samantha was the goalie in ⅚ of the games that the team won and ⅓ of the games that the team lost. In how many games did she play in?
Answer:
20 games
Step-by-step explanation:
5/6 of 12 = 10
1/3 of 30 = 10
10 + 10 = 20
a forest covers 47,000 acres. a survey finds that 0.2% of the forest is old growth trees. How many acres of old growth are there?
Answer:
9400
Step-by-step explanation:
I'm not really sure if this is right but I changed 0.2% to 1/5 and 1/5 is 9400. Hope this is right!
Which of the following statements is true concerning ABC below?
С
A. A is the smallest angle.
B. A is the largest angle.
C. B is the smallest angle.
D. B is the largest angle.
A is the smallest
Can I have brainleist?
4+4=?
help I don't know
Answer:
The answer is 8.
Step-by-step explanation:
thank you for the points :)
NEED HELP!!! I’ll report if your putting random answers down
Answer:
First blank: 8
Second Blank: 16
Third Blank: 56
Step-by-step explanation: Hope I helped
Please help me I’m begging u it’s due in 10 minutes!!
Answer:
y= -1
Step-by-step explanation:
subtract, so x cancels out.
you are left with 2y=-2
y= -1
Answer:
y = - 1
Step-by-step explanation:
x + y = 1 .......... (1)
x - y = 3 .......... (2)
(1) + (2)
2x = 4 ⇒ x = 2
2 + y = 1 ⇒ y = - 1
(2, - 1)
What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answer:
you can use decimals
Step-by-step explanation:
Just answer the one at the bottom
Answer:
10+25=35
Step-by-step explanation:
Answer:
35 degrees Celsius
Step-by-step explanation:
10 + 25 = 35 C
Which of these expressions equal 15 when x=1/2 and y=3? Circle all that apply. Please help with this my teacher need me to work out xy+3 1/2+20x Btw guys 3 1/2 are mixed numbers if your wondering
Answer:
15
Step-by-step explanation:
First you would replace the x and y's with 1/2 and 3.
So it would look like: (1/2) (3) + 3 1/2 + 20 (1/2)
Next, you go by PEMDAS (parenthesis, exponents, multiplications, division, addition, subtraction)
So you would first multiply and the parenthesis that I added mean multiplication.
1.5 + 3.5 + 10
So then all that is left to do is add because I multiplied everything out.
So it is 5 + 10 which is 15
Solve the following equation algebraically: 5x2 = 60
a. x~ +3 46
b. x~3.46
c. x = 12
d. X = +12
Answer:
x = 3.46
Step-by-step explanation:
In this question, you have to solve the equation.
Solve:
5x² = 60
Divide both sides by 5.
x² = 12
In order to eliminate the exponent, you would square root both sides.
√x² = √12
x = √12
√12 = 3.4641..
x = 3.46
Your final answer would be x = 3.46
What is the value of n?
2n – 1 = 5
Answer: n=3
Step-by-step explanation:
Think about it 2*3-1. 2x3=6 then minus 1 equals 5.
Answer:
n=3 thats the answer your welcome
Math took my sis phone to see if this works pls help!
Answer:
8+3*25, 83,2^3+3*5^2, are all equivalent
Step-by-step explanation:
The function Y=4.75+2.20(X-1) can be used to determine the cost in dollars for a taxi ride in Houston, TX. What is the rate of change of the cost in dollars with respect to the number of miles?
Answer:
2.20 dollars/mile
Step-by-step explanation:
Given the function:
y = 4.75 + 2.20(x-1)
Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;
m is the rate of change of the cost
From the function given:
y = 4.75 + 2.20(x-1)
Open the parenthesis
y = 4.75 + 2.20x -2.20
y = 2.20x + 2.55
On comparing with the standard
m = 2.20
Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile