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

5x – 9 = 3x + 7
Solve for x

Answers

Answer:

Solving for x

5x - 9 = 3x + 7

subtract 3x from both sides

-3x          -3x

2x - 9 = 7

get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction

+9      +9

2x = 16

divide by 2 since that is the inverse operation of multiplication

/2    /2

x = 8

The solution for ''x'' for the expression ( 5x – 9 = 3x + 7

What is an expression?

Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.

To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.

First, we can simplify both sides of the equation by combining like terms:

5x - 9 = 3x + 7

2x - 9 = 7

Next, we can add 9 to both sides of the equation to isolate the variable term:

2x = 16

Finally, we can divide both sides of the equation by 2 to get the value of x:

x = 8

Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.

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9000 dollars is placed in an account with annual interest rate of 7.75 how much will be in the account in 18 year nearest cent

Answers

Answer:

9139.50

Step-by-step explanation:

since it didn't mention any withdraws from the account or any charges, its just a matter of multiplying 7.75 by 18 and adding it to the original balance.

Answer:

9139.50

Step-by-step explanation:

Harry and Matthew, have 56 toys to build. harry builds three fourths of the toys, while matthew builds one seventh of the toys. How many toys are there left to build?

Answers

Answer:

i don't know

Step-by-step explanation:

35% of (blank) days is 7 days

Answers

Answer:

2.45 days.

Step-by-step explanation:

35% of 7 days is 2.45 days :) please thank.

This should be 20.

50% of 20 is 10. If you subtracted 15% from 10, you would get 3 which then makes it 7. Therefore, 35% of 20 days is 7 days.

find k where y varies directly as x, and the following are true.
y = 2 when x = 16

Answers

Answer:

y=2

x=16

k=difference is x and y

so k=16-2

k= 14

On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?

Answers

Answer:

25 questions total

Step-by-step explanation:

I hope this helps!

Mathematic 20 don’t understand

Answers

Answer:          

8.8 x 10 to the 9th power

Step-by-step explanation:

A middle school principal is signing the diplomas of the school's graduating eighth graders.
She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per
second. If the principal signs diplomas for 60 seconds, what will the total number of signed
diplomas be?

Answers

Answer: 67 diplomas

Step-by-step explanation:

0.5 diplomas per second = 1 diploma per 2 seconds

60/2 = 30

30+37 = 67

Correct me if I am incorrect

An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.

Ok ixl is back up so here’s another question

Answers

Answer:

40 products

Step-by-step explanation:

If you take a look at the graph, you'll see that 300 seconds (on left) are required to complete a transaction of 40 products (on bottom).

convert each fraction to a decimal then a percent 4/25 3/11

Answers

Answer:

4/25=0.16=16%

3/11=0.27=27%

Step-by-step explanation:

Which of the following is a rational function?

A.
B.
C.
D.

Answers

Answer:

c

Step-by-step explanation:

c will be the answer g g g t g

Evaluate −x when x=16.

Answers

Answer:

-x=16

x=-16

Step-by-step explanation:

That is the Answer

Help me pleas asap and pleas show your work

Answers

Answer:

y = 7 - 4x

Step-by-step explanation:

8x + 2y = 14

2y = 14 - 8x (since we're solving for "y", we want "y" by itself)

y = 14-8x / 2 (we want to separate "y" and 2, so we divide the other side of the  equation by 2)

y = 7 - 4x (divide by 2)

Hope this helps :)

your answer would be y=7-4x

Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.

Answers

Answer:

Part A:

Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is

y = 100 + 10x

Part B:

Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is

y = 12.5x

Part C:

Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is

y = 10x

Part D:

Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.

Part E:

Do the same for E after you do Part D.

Step-by-step explanation:

Hope it helps!

Answer: ?

Step-by-step explanation:

By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6
need the answer asap

Answers

[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]

Therefore,

[tex]x = \frac{19}{20} [/tex]

verified.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help help help help pls

Answers

This is all simple division rules. U have 2 different values so you divide the larger value with the smaller value.

What factoring pattern can you use to solve x^2+14x+49=0

A (ax+√c)^2=0

B (√a*x+√c)^2=0

C (√a*x+c)(√a*x-c)=0

D (ax+√c)(ax-√c)=c

Answers

Answer:

  B  (√a*x+√c)^2=0

Step-by-step explanation:

It can be helpful to look a the expanded form of each of these factoring patterns.

  A (ax+√c)^2=0   ⇒   a^2x^2 +2a√c*x +c = 0

  B (√a*x+√c)^2=0   ⇒   ax^2 +2√(ac)*x +c = 0

  C (√a*x+c)(√a*x-c)=0   ⇒   ax^2 -c^2 = 0

  D (ax+√c)(ax-√c)=c   ⇒   a^2x^2 -c = c

If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.

Choice B is the only sensible one, and fits the given equation.

  a = 1, c = 49   ⇒   √a = 1, √c = 7

  x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B

You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

$4,750

Step-by-step explanation:

Answer:

3360

Step-by-step explanation:

1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360


How to write a line segment

Answers

Answer:

In geometry, you will write a line segment using the letters for each of the end points and a line over the top of the letters.

For any number n>1, is
п
2 3
+ i
3
4
a. Greater than 1?
b. Less than 1?
C. Equal to 1?

Answers

A because the > symbol means greater so if n is on the open side that means its greater

~Shoto Todoroki here~

its option A

i figured this out by trial and error :/

have a good day!

Mang Andres is going to put eggs in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andres can put using the trays? 
correct answer=brainliest and likes (the second person will only get likes and rate)
nonsense=report​

Answers

Answer:

1

Step-by-step explanation:

The LCF of 6 and 12 is 1

Hope it helps

Step-by-step explanation:

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

Three boards are placed end to end to make a walkway. The first board is 2 feet 8 inches long, the second board is 6 feet 10 inches long, and the third board is 4 feet 9 inches long. How long is the walkway?

Answers

Answer:

The walkway is 14ft and 3in

Step-by-step explanation:

Explain why the square root of a number is defined to be equal to that number to the 1/2 power.

Answers

Answer:

This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out. Hope this helped <3

please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with this.​

Answers

Answer:

x=10, y=-1

Step-by-step explanation:

x-y=11

2x+y=19

3x=30

x=10

10-y=11

-y=1

y=-1

USED ELIMINATION BC THERE WAS ALREADY A Y AND -Y

The sum of triple a number and twice another number is 4. The first number increased by the second number is 3. Find the two numbers. Show your work.

Answers

The answer is 1 & 2

1 + 1 + 2 = 4
2+2=4
1+2=3

I really need help with this, and also if it's Substitution or linear combination and it will be really helpful if you do step by step please. ​

Answers

Answer:

-2x+y=12

Step-by-step explanation:

linear equation

is the formula for percentages compound interest is P=I/N???
P stands for principle
I stands for compound interest
N stands for nothing

Answers

Answer an essay on nothing

Step-by-step explanation:

In philosophy there is a lot of emphasis on what exists. We call this ontology, which means, the study of being. What is less often examined is what does not exist.

It is understandable that we focus on what exists, as its effects are perhaps more visible. However, gaps or non-existence can also quite clearly have an impact on us in a number of ways. After all, death, often dreaded and feared, is merely the lack of existence in this world (unless you believe in ghosts). We are affected also by living people who are not there, objects that are not in our lives, and knowledge we never grasp.

Upon further contemplation, this seems quite odd and raises many questions. How can things that do not exist have such bearing upon our lives? Does nothing have a type of existence all of its own? And how do we start our inquiry into things we can’t interact with directly because they’re not there? When one opens a box, and exclaims “There is nothing inside it!”, is that different from a real emptiness or nothingness? Why is nothingness such a hard concept for philosophy to conceptualize?

Let us delve into our proposed box, and think inside it a little. When someone opens an empty box, they do not literally find it devoid of any sort of being at all, since there is still air, light, and possibly dust present. So the box is not truly empty. Rather, the word ‘empty’ here is used in conjunction with a prior assumption. Boxes were meant to hold things, not to just exist on their own. Inside they might have a present; an old family relic; a pizza; or maybe even another box. Since boxes have this purpose of containing things ascribed to them, there is always an expectation there will be something in a box. Therefore, this situation of nothingness arises from our expectations, or from our being accustomed. The same is true of statements such as “There is no one on this chair.” But if someone said, “There is no one on this blender”, they might get some odd looks. This is because a chair is understood as something that holds people, whereas a blender most likely not.

The same effect of expectation and corresponding absence arises with death. We do not often mourn people we only might have met; but we do mourn those we have known. This pain stems from expecting a presence and having none. Even people who have not experienced the presence of someone themselves can still feel their absence due to an expectation being confounded. Children who lose one or both of their parents early in life often feel that lack of being through the influence of the culturally usual idea of a family. Just as we have cultural notions about the box or chair, there is a standard idea of a nuclear family, containing two parents, and an absence can be noted even by those who have never known their parents.

This first type of nothingness I call ‘perceptive nothingness’. This nothingness is a negation of expectation: expecting something and being denied that expectation by reality. It is constructed by the individual human mind, frequently through comparison with a socially constructed concept.

Pure nothingness, on the other hand, does not contain anything at all: no air, no light, no dust. We cannot experience it with our senses, but we can conceive it with the mind. Possibly, this sort of absolute nothing might have existed before our universe sprang into being. Or can something not arise from nothing? In which case, pure nothing can never have existed.

If we can for a moment talk in terms of a place devoid of all being, this would contain nothing in its pure form. But that raises the question, Can a space contain nothing; or, if there is space, is that not a form of existence in itself?

This question brings to mind what’s so baffling about nothing: it cannot exist. If nothing existed, it would be something. So nothing, by definition, is not able to ‘be’.

Is absolute nothing possible, then? Perhaps not. Perhaps for example we need something to define nothing; and if there is something, then there is not absolutely nothing. What’s more, if there were truly nothing, it would be impossible to define it. The world would not be conscious of this nothingness. Only because there is a world filled with Being can we imagine a dull and empty one. Nothingness arises from Somethingness, then: without being to compare it to, nothingness has no existence. Once again, pure nothingness has shown itself to be negation.

Evaluate the following function at the given x value.
f(x) = (3)X + 2-4 at x = 2
A
77
B
5
С
D
7

Answers

Answer:

4

Step-by-step explanation:

f(x)=3x+2-4

f(2)=3(2)+2-4

f(2)=6+2-4

f(2)=8-4

f(2)=4

WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE

Answers

Answer:

It is totaly based on the diagram

Answer:

it is said on diagram or other values are given to find it

(
3.9
×
10

5
)
(
7
×
10

3
)

Answers

Answer:

2278

Step-by-step explanation:

(3.9×10−5)(7×10−3)

= (39 - 5)(7 x 10 -3)

= (39 - 5)(70-3)

= 34(70-3)

= 34 x 67

= 2278

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