Write the explicit formula

Write The Explicit Formula

Answers

Answer 1

Answer:

Step-by-step explanation:

Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is

[tex]A_n=a_1(r)^{n-1[/tex] where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then

a1 = 2 and r = 3. Therefore, the explicit formula is

[tex]A_n=2(3)^{n-1[/tex] and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.


Related Questions

DUE TOMRROW IF NASWERED PROPERLY ILL GIVE BRAINIEST AND 50 POINTS IN ANEW QUESTION ONLY ANSwERED PROPERLY

Answers

Answer:

11.   a.  yes  b.   no

12.  i.  yes  ii.  yes  

13.  a. 31/35  b. 1 5/9  c. 1/30  d.  1/15

Step-by-step explanation:

11. add them

12. estimate

13. add or subtract

Find the measure of x and y ?

Answers

Answer:

x = 28

y = 47

Step-by-step explanation:

40 + 5x = 180 since it forms a straight line

5x = 180-40

5x = 140

Divide by 5

5x/5 = 140/5

x =28

3y-1 = 5x  since they are alternate exterior angles

3y-1 = 140

Add 1

3y = 141

3y/3 = 141/3

y = 47

Is every prime number a natural number?

Answers

No because they are by them self

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Hope that answered your question.

What is the slope?
A. 1/2
B.2
C.-1/2
D.-2

Answers

-1/2 is the slope “rise over run “

Lara rides her skateboard 228 feet in 2 minutes what is her speed

Answers

Answer:

114 ft per minute

Step-by-step explanation:

To find the speed, take the distance and divide by the time

228 ft/ 2 minutes

114 ft per minute

Answer:

Her skateboard having speed = 144 feet per minute.

Step-by-step explanation:

Given that :-

Distance = 228 ftTime = 2 minutes

To Find :-

Speed of skateboard

Solution :-

Using Formula

Speed = distance / time

Substitute the values

speed = 228 ft / 2 minutes

Speed = 144 ft per minute

Collect the information from top 5 states in India which have the highest literacy rate as on 1st May 2021.

Answers

Answer:

Step-by-step explanation:

There are many states in India, of course not everyone has the same literacy rates as some are higher than the others, while some are lower than the others. All in all, the literacy of states in India can be ranked as listed below, from the highest to the lowest.

Kerala

Delhi

Uttarakhand

Himachal Pradesh

Assam


It takes four hours to mow two
lawns. How many lawns can he mow
in 10 hours?
five lawns?
ten lawns?
six lawns?

Answers

Answer:

5

Step-by-step explanation:

The amount of lawns that he can mow in 10 hours is; A: five Lawns

What is the amount of work to be done?

We are told that it takes a time of 4 hours to mow 2 lawns. Thus, amount of lawn he can mow in 1 hour = 2/4 = 0.5 lawn per hour

Thus, amount of lawn he can mow in 10 hours = 0.5 * 10 = 5 lawns

In conclusion he will mow 5 lawns in 10 hours.

Read more about proportion of work at; https://brainly.com/question/1781657

A rectangle is 19 inches long and 6 inches wide. Find its area

Answers

Answer:

25 or 114.   I think it's 114

Step-by-step explanation:

Answer:

Area of a rectangle = length × width

A= L×W

= 19×6

= 114

A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?

Answers

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Can you help me with question 4 step by step

Answers

Answer:

exponetial growth; y-0.25

Answer:

the second option

Step-by-step explanation:

6(0.25)* 1 = 1.5 if x equals 1

6(0.25) * 2= 3 if x equals 2

Please Help!!



Find the measure of ∠3.




90°


130°


50°


40°

Answers

Answer:

59%it is true if you daer

Please help with this question from Khan Academy!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B = 42

Step-by-step explanation:

B × 2/7 = A

A ÷ 2/7 = B

12 ÷ 2/7 = B

B = 42

The product of -12 and a number is 60

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

The result is positive, so you know the number must be negative. What two numbers normally make 60? That would be 5 and 12, but since the 12 is negative (-12), that means the 5 must be negative (-5). So, the answer is -5.

Find the solutions to x^2= 18.

Answers

Answer: B

Step-by-step explanation: You are correct!

Find the value of x for which the lines are parallel.
A)63
B)71
C)72
D)64

Answers

Answer:

D

Step-by-step explanation:

the lines will be parallel if when cut by a transversal line form same size angles, so 63= x-1, therefore x = 64°

Answer:

The answer is D - 64.

I hope this helped!

Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equation represents the relationship between y, the total points, and x the number of movies?

a
\large y=3x

b
\large y=3+x

c
\large x=3y

d
\large x=y+3

Answers

the answer is a \large y=3x

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
37
97
101
132

Answers

Answer:

A

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2+1\text{ and } g(x)=x-4[/tex]

And we want to find:

[tex](f\circ g)(10)[/tex]

This is equivalent to:

[tex]=f(g(10))[/tex]

Find g(10) first:

[tex]g(10)=(10)-4=6[/tex]

Substitute:

[tex]f(g(10))=f(6)[/tex]

Evaluate f(6):

[tex]f(6)=(6)^2+1=37[/tex]

Therefore:

[tex](f\circ g)(10)=37[/tex]

Our answer is A.

Answer:

Step-by-step explanation: 37

What is the answer to the question, 5(x+2) = 11?

Answers

Answer:

Solution given:

5(x+2) = 11

dividing both side by 5

5(x+2)/5=11/5

x+2=11/5

subtracting both side by 2

x+2-2=11/5-2

x=11/5-2

x={11-2*5}/5[taking l.c m

x={11-10}/5

x=1/5

x=1/5is a required answer.

Which value(s) from the set {5, 7, 9, 11, 13} make the inequality w = 4 < 8 true?
{11, 13}
{13}
{5, 7, 9}
{5, 7, 9, 11}

Answers

Question

Which value(s) from the set {5, 7, 9, 11, 13} make the inequality w = 4 < 8 true?

Answer{5, 7, 9, 11}----------------------

hope it helps...

have a great day!!

Answer:

{5, 7, 9, 11}

Step-by-step explanation:

cuz you subtracting 4 and making inequality anyway bye

Someone please help me thank you

Answers

Answer:

4

Step-by-step explanation:

7x = x² - 8

=> x² - 7x - 8 = 0

use quadratic formula:

a = 1, b = -7, c = -8

x = [tex]\frac{-(1)±\sqrt{(-7)^{2} - 4(1)(-8) } }{2(1)}[/tex] (pls ignore the "A" I don't know why it's showing up)

=> x = [tex]\frac{-1±\sqrt{49 + 32} }{2}[/tex]

=> x = [tex]\frac{-1±9 }{2}[/tex]

=> x = [tex]\frac{-1 +9}{2}[/tex] = 4 or [tex]\frac{-1-9}{2}[/tex] = -5 (the answer is only 4 since it's asking for the positive solution)

4 is the answer to the problem

which number is addtive inverse of 5

Answers

Answer:

-5

Step-by-step explanation:

Additive inverse is basically the opposite of the given number. So the additive inverse of 5 is -5.

Hope this will help. Please mark me brainliest.

Answer:

- 5

Step-by-step explanation:

The additive inverse is the number added to 5 to give zero, that is

5 + (- 5) = 5 - 5 = 0

Additive inverse is - 5

write the sum of MC and CD in Hindu Arabic​

Answers

Answer:

CD = 400. CD = − C (100) + D (500) = 400. 1 = I 5 = V 10 = X 100 = C 500 = D 1,000 = M.

MC is writen as 1100 in Arabic numerals.

Step-by-step explanation:

What is the first step when finding the volume of a pyramid?
A. find the area of lateral faces. B. fine the area of the base. C. find the area of the entire pyramid. D. fine the perimeter of the base
WILL GIVE BRAINLIEST PLZ HELP

Answers

Answer:

B

Step-by-step explanation:

If you find area of base then you can multiply by height and divide by 3. So first find the area of the base

will mark brainliest if answer correctly

Answers

6. C. Given

7. C. L is the midpoint of EM

8. .D . Definition of midpoint

9. B . < FLE= <ALM

10. C .ASA Postulate

PLEASE HELP!! i’m so confused.

Answers

Answer:

[A] -0.5

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)FunctionsFunction Notation

Algebra II

Piecewise Functions

Calculus

Limits

Graphical Limits

Discontinuities

Removable (Hole) Jump Infinite (Asymptote)

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left \{ {{-1 - x, \ x \neq 2} \atop {8, \ x = 2}} \right.[/tex]

[tex]\displaystyle \lim_{x \to -0.5} f(x)[/tex]

Step 2: Solve

According to the graph, we see that when we approach x = -0.5 of the function f(x), we land on y = -0.5.

The function value at x = 2 would equal 8, but the limit as x approaches -0.5 would not approach the function value, but approach the hole in the function.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

in a 3-digit number, the hunderds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sun of the digits is 11, find the number

Answers

Answer:362

Step-by-step explanation:

So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362

Find the value of x in the picture below. (Figure is not drawn to scale)

Answers

Your answer is going to be by d ande

During halloween, 8 out of 25 students in Mrs. Murphy's class wore a costume. What was the probability that an individual student wore a costume

Answers

Answer:

32%

Step-by-step explanation:

write an equation then find the angle measure for A. 25 points and brainliest.

Answers

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4 + 3x + 3x + 14 + 90 = 180 , simplify left side

108 + 6x = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

Then

∠ A = 4 + 3x = 4 + 3(12) = 4 + 36 = 40° → A

If f(x) = 4x + 5, what is the value of f(-3)?
1. -2
2.4
3. -7
4. 17
Please help me

Answers

Answer:

3. -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x + 5

f(-3) is x = -3 for f(x)

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                          f(-3) = 4(-3) + 5Multiply:                                                                                                             f(-3) = -12 + 5Add:                                                                                                                   f(-3) = -7
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