Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2

Write The First Three Terms Of The Sequence Defined By The Recursive Formula If A1=2. A_n= A_n-1 / 4

Answers

Answer 1

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:

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Answer 2

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

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:

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#SPJ2

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.

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

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


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!

don't ask why im asking for help ;-;

Answers

2.744

merry christler

2.744
yea your welcome

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 :)

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 ???

What is the answer

80x+56=100​

Answers

Answer:

Ur answer buddy

The equation80x+56=100

First, solve like this80x = 100 - + 56

U have to know the formula

- + = -

+ + = -

- - = +

+ - = +

So, The answer is

80x = 44

Now , we have divide

80/44 = 40/22 = 20/11= 1.8182.

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!

help asap please for brainlist !!!!!!!!!

Answers

Bff i answered this earlier. It’s step 2!!! Because if you’re flipping the numerator and denominator, the sign of the exponent should be flipped as well. So the exponent will turn into -5x
Sorry if my previous answer was vague. #brainliest!!!

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

It is D i believe because the formula for finding momentum is momentum= mass times velocity

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%.

PLEASE HELP I THINK THIS IS EASY BUT I DONT WANT TO DO IT

Answers

Answer:

14,20

Step-by-step explanation:

It would be 14 and 20

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

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.

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

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

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.

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

your answer would be 3 :) have a good day

Solve for X
(24x – 19)
(16х + 13)

Answers

Step-by-step explanation:

24x - 19 = 16x + 13

24x = 16x + 32

8x = 32

x = 4

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.

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:

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

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:

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  

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

The mode is 98 since it is the largest value in the set of data! Hope this helps!

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

Answer:320

Explanation: divide 16 by 5% on your phone calculator

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!!!!!!!!!!!!!!!!!!!!!!

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