Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2
Answers
The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Given:
[tex]an = \frac{an - 1}{4} - 2[/tex]
where,
n = number of terms
First term, a1 = 2
Second term, a2
[tex]an = \frac{an - 1}{4} - 2[/tex]
a2 = {(2 - 1)/ 4} - 2
= 1/4 - 2
= (1-8) / 4
= - 7/4
Third term, a3
= {(3-1) / 4} - 2
= 2/4 - 2
= 1/2 - 2
= (1-4) / 2
= -3/2
Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Learn more about sequence:
https://brainly.com/question/6561461
Answer:
a1 = 2
a2 = -3/2
a3 = -19/8
Explanation:
a_n-1 means the last term.
So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2
It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8
Related Questions
Mark's test scores for this semester were: 83, 80, 91, 74, 66, 95, 87, 72, 95, & 98. What is the mode of his test scores?
Answers
nnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Help asap!! Full work shown gets brainliest!!
Answers
Answer:
2√6
Step-by-step explanation:
1. First, let's solve for the base of the triangle with the help of the Pythagorean Theorem (a^2 + b^2 = c^2).
[tex]5^2 + b^2 = 7^2[/tex] [tex]25 + b^2 = 49[/tex] [tex]b^2=24[/tex] [tex]b = \sqrt{24}[/tex]2. Now, let's find the factors of 24 and see which one is a perfect square:
1, 2, 3, 4, 6, 8, 12, 24As you can see, the factor that's a perfect square is 4, so in order for it to multiply to 24, the other one has to be 6. [tex]\sqrt{24} = \sqrt{4} * \sqrt{6} = 2\sqrt{6}[/tex]Therefore, the answer is 2√6.
Answer:
[tex]b=2\sqrt{6}[/tex]
Step-by-step explanation:
The triangle shown is a right triangle.
Because this triangle is a right triangle, we can use they Pythagorean theorem to find the missing side length.
Pythagorean theorem : [tex]a^2+b^2=c^2[/tex]
where a and b = length of legs and c = hypotenuse ( longest side )
we have the hypotenuse ( 7 ) and a leg (5) and need to find the other leg.
So we know that a = 5 and c = 7 and we need to find b
Using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
a = 5 and c = 7
[tex](5)^2+b^2=(7)^2[/tex]
simplify exponents 5² = 25 and 7² = 49
[tex]25+b^2=49[/tex]
subtract 25 from both sides
[tex]b^2=24[/tex]
take the square root of both sides
[tex]b=\sqrt{24}[/tex]
simplify radical
[tex]b=2\sqrt{6}[/tex]
And we are done!
Determine whether the data in the table can be modeled by a linear equation. Explain.
If possible, write a linear equation that represents y as a function of x
Answers
Answer:
yes, because they're varying in a constante rate
y = -1/2x +3.5
14b = −56
i need help figuring out what this is i'm doing it but i keep getting it wrong please help
Answers
Answer:
-4
Step-by-step explanation:
14b = -56
divide by 14
-56 ÷ 14 = -4
b = -4
I hope this helps!
Answer:
b = -4
Step-by-step explanation:
[tex]14b = -56\\\\rule{150}{0.5}\\\frac{14b=-56}{14}\\\\ \boxed{b = -4}[/tex]
Hope this helps.
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answers
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
Between 11 P.M. and 8:10 A.M., the water level in a swimming pool decreased by 5/24 in. Assuming that the water decreased at a constant rate, how much did the water drop each hour?
Answers
Answer:
1/44 inches per hour
Step-by-step explanation:
there are 9 hours and 10 minutes during which water decreased by 5/24"
9 hrs, 10 min can be converted to 9 1/6 hours (10 min is 1/6 of 60 min)
5/24 ÷ 9 1/6 = 5/24 x 55/6
5/24 x 6/55 = 1/44
Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year.
How much money did Anthony receive for his birthday last year?
Answers
Answer
320
Step-by-step explanation
150 + 10 = 160
160 * 2 because it said than half the amount he received last year = 320!
What is 16 divided by 5%=?
Answers
Answer:
320
Step-by-step explanation:
I am assuming we are trying to find 16/5%.
5% is equal to 1/20, so we can make this into :
[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]
This is equal to 16 x 20 = 320
Explanation: divide 16 by 5% on your phone calculator
Solve for X
(24x – 19)
(16х + 13)
Answers
Step-by-step explanation:
24x - 19 = 16x + 13
24x = 16x + 32
8x = 32
x = 4
What is the L.C.M of 45 80 and 135
Answers
Answer:
LCM = 2160
Step-by-step explanation:
lcm of 45 80 and 125 is 2160 because LCM = 2160
Answer:
the answer is (that I found) is 2160
PLEASE HELP I THINK THIS IS EASY BUT I DONT WANT TO DO IT
Answers
Answer:
14,20
Step-by-step explanation:
Trevor earns $7.80 an hour take home pay and works 20 hours each week. Trevor wants to buy a new laptop computer to take to college that costs $780. How many weeks will it take for Trevor to achieve his goal? a. 4 weeks b. 5 weeks c. 6 weeks d. 7 weeks
Answers
Answer:
5 weeks
Step by step
7.80 x 20 = 156
156 x 5 = 780
Answer: B) 5 weeks
Step-by-step explanation: I know your struggling and that's why you need this answer. your welcome cutie.
the production of wheat increases from 25 tons to 30 tons the percantage increase in prodution of wheat is
Answers
Answer:
20%
Step-by-step explanation:
The percentage change is the difference divided by the original amount, expressed as a percentage.
(30 -25)/25 × 100% = 20%
Production increased by 20%.
help asap please for brainlist !!!!!!!!!
Answers
Sorry if my previous answer was vague. #brainliest!!!
Select the correct answer.
A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
A.
$1.80
B.
$0.85
C.
$0.60
D.
$0.40
E.
$0.30
Answers
Answer:
C.$0.60
hope this help!!!!!!!!!!!!!!!!!!!!!!
The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?
Answers
Answer:
no of girls - 300
no of boys - 450
no of girls - 6
no of boys - 9
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let boys be x and girls y
x = 2y-3
x - 2y = -3 ------(i)
x = 60/100(x+y)
10x = 6x + 6y
4x = 6y
2x = 3y
2x - 3y =0------(ii)
Subtract (ii) from (i)*2
no of girls - 6
no of boys - 9
to learn more about algebraic expression refer to:
https://brainly.com/question/4344214
#SPJ2
A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is
Answers
Answer:
A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...
Step-by-step explanation:
..right ya ???
Find the diameter of a circle whose Circumfrence is 66 m
Answers
Answer:
21.00845
Step-by-step explanation:
πD = 66m
D = 66x 7/22
D = 21m is your answer brainlist me plz
An equation of a line is y = 3x -7. What would the SLOPE of a line parallel to this equation be?
Answers
Answer:
3
Step-by-step explanation:
If two lines are parallel then their slope is the same
y=mx+b
m= slope
b= y-intercept
jackie is saving money for a coat that costs $121 if she already has $61 and saves $15 each week in how many weeks can she buy the coat make a function table
Answers
Answer:
4 weeks
Step-by-step explanation:
Total cost of coat = $121
Money saved = $ 61
Will save $15 per week
So let x = number of week = $15x
Money saved + will save = Total cost of the coat
$61 + $15x = $121
-$61 = - $61
$15x = $60
x = $60 ÷ 15
x = 4
decide whether the function is a polynomial function if it is write the function in standard form
f(x)=1/2x²-3x^4-7
Answers
Answer:
yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7
Step-by-step explanation:
standard form is placing all terms in decreasing exponent order
Answer:
it is a polynomial because all of the exponents are non-negative
standard form f(x)=-3x^4+1/2^2-7
Step-by-step explanation:
Hope it helps
Have a nice day : )
how do you write the equation of the line that passes through the points (-9,4) and (7,-2)
Answers
Answer:
y = -3/8x+5/8.
Step-by-step explanation:
First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.
Answer:
y = (-3/8)x + 5/8
Step-by-step explanation:
First we need to find the slope of the line connecting these two points. Slope is represented by m and is equal to rise/run.
Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise). Thus, the slope of this line is
m = rise/run= -6/16, or -3/8.
Adapt the slope-intercept formula y = mx + b to this situation. From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8. Then we have:
4 = (-3/8)(-9) + b, from which we get the y-intercept, b:
4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.
The equation describing this situation is y = (-3/8)x + 5/8.
What is the answer
80x+56=100
Answers
Answer:
Ur answer buddy
The equation80x+56=100First, solve like this80x = 100 - + 56U have to know the formula - + = -+ + = -- - = ++ - = +
So, The answer is 80x = 44Now , we have divide 80/44 = 40/22 = 20/11= 1.8182.don't ask why im asking for help ;-;
Answers
2.744
merry christler
yea your welcome
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr
B 66,000 kg km/hr
C 21.8 kg km/hr
D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible
Answers
The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2013
Answers
Answer:
The value of the notebook at the end of 2013 is $980
Step-by-step explanation:
First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.
30% ⇒ 0.30
Now multiply 0.30 by 2,000 to find 30% of 2,000.
2,000 × 0.30 = 600
Subtract 600 from 2,000 to find the price of the notebook in 2013.
2,000 - 600 = 1,400
Now find 30% of 1,400 using the same process.
1,400 × 0.30 = 420
Subtract 420 from 1,400 to find the price of the notebook in 2014.
1,400 - 420 = 980
What is the constant of this polynomial? 3x9 + 4x + 129
Answers
Answer:
129
Step-by-step explanation:
When referring to the constant in a polynomial, we're generally referring to the term that has no variables in it. Here, that term is 129.
The constant is 129.
When Johan calculates how much interest he must pay, he calculates as follows: SEK 0.045-620,000 = SEK 6,975/4
a) What is the interest rate? How are you thinking?
b) Why does Johan divide by 4?
Answers
Answer:
its b
Step-by-step explanation:
18x-3y=9 Y=6x-3 what is the answer
Answers
Answer:
NP (Not possible)
Step-by-step explanation:
When you find 'X', by inserting '6x-3' into the 'Y', you get:
18x - 3(6x-3) = 9
distribute:
18x -18x + 9 = 9
Subtract 9 from 9 = 0
Add like numbers (the x's), and it equals 0
0=0
You can't find x, rendering the equation 'NP'
Hopefully this answer is right and an option :)
Solve the following:
2x - 7 = x + 3
4 3
Answers
Answer:
x = 10
Step-by-step explanation:
2x - 7 = x + 3
=> 2x - 7 = x + 3
=> x = 10
Therefore, x = 10.
Hoped this helped.
Answer: x=350
Step-by-step explanation: