What is the explicit formula for the geometric sequence with this recursive formula?

What Is The Explicit Formula For The Geometric Sequence With This Recursive Formula?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

The recursive formula gives a term in the sequence by multiplying the previous term by r

Given the recursive formula

a₁ = - 6

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )

with r = [tex]\frac{1}{4}[/tex]

Then explicit formula is

[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A


Related Questions

Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, she can use the equation:

Answers

Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle


84 is 30% of what number?
2.8
25.2
280
2520

Answers

Answer:

280

Step-by-step explanation:

30%=30/100=0.3

Let's call the mystery number x.

84=0.3x

84/0.3=0.3x/0.3

x=84/0.3=280

Hope this helps!

Which table represents a function?

Answers

The one on the far left

Jesse had $421.56 dollars in his checking account
when he deposited g twenty-dollar bills and k quarters
Write an expression that represents the amount of
money in his account after his deposit.

Answers

Answer:

An expression that represents the amount of  money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]

Step-by-step explanation:

Jesse had $421.56 dollars in his checking account

Now he deposited g twenty-dollar bills

Now new amount =$421.56+20g

Now he deposited k quarters

1 quarter = 0.25

k quarters = 0.25k

So, Amount in the account = 421.56+20g+0.25k

Hence an expression that represents the amount of  money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]

Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC

Answers

Answer:

A) ΔABC ≅ ΔEDC

Step-by-step explanation:

To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.

Let's see what we have in these two triangles.

Side AB is congruent to side ED. This is one pair of sides.

Angle A is congruent to angle E. This is one pair of sides.

Now we need a second pair of angles, that will make the two sides not-included in the angles.

By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.

We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.

Answer: A) ΔABC ≅ ΔEDC

WILL MARK AS BRAINLIST



Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0

a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4

Answers

Answer:

C

Step-by-step explanation:

4x-5y=0

5y=4x

y=4x/5, or rather y = (4/5)*x

k thus equals 4/5, and that is your constant of variation.

Answers: Yes, direct variation, k=4/5

Shelley is building a brick wall that needs to be 1.57 meters tall. So far, the wall is 1.54
meters tall, How much taller does the brick wall need to be?
meters​

Answers

Answer:

0.03 m

Step-by-step explanation:

End height:  1.57 m

Current height:  1.54 m

Difference:  0.03 m

Wall must be 0.03 m taller than it is now.

What is data about?

Answers

Answer: the quantities, characters, or symbols on which operations are performed by a computer, being stored and transmitted in the form of electrical signals and recorded on magnetic, optical, or mechanical recording media.

Step-by-step explanation:

Data mainly is about taking note of specific observations in numbers, for reference in the future.

Which expression is equivalent to Two-thirds x minus one-half y minus four-fifths? One-third x minus one-fourth y minus four-fifths + one-third x + one-fourth y One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y One-third x minus one-fourth y minus one-fifth minus one-third x minus three-fifths minus one-fourth y One-third x minus one-fourth y + two-fifths + one-third x minus two-fifths minus one-fourth y

Answers

Answer:

The correct answer is B or

One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y

Step-by-step explanation:

I just took the test

Answer:

It's B aka -2x - 3.

Step-by-step explanation:

What is the distance between the coordinates (-6,5) and (-3, 2)? Round your

answer to the nearest tenth.

Answers

Answer:

The distance between the points is approximately 4.2 units.

Step-by-step explanation:

Use the distance formula. To calculate the distance between point (x1, y1) and (y1, y2), use the following formula:

[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]

[tex]\sqrt{(-3--6)^{2} + (2-5)^{2} }[/tex]

[tex]\sqrt{3^{2} + -3^{2} }[/tex]

[tex]\sqrt{9 + 9}[/tex]

[tex]\sqrt{18}[/tex]

≈ 4.2 units

Hope this helps :) Feel free to ask me any questions!

I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light )

Answers

Answer:

its a scalene triangle

Step-by-step explanation:

Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
A) How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years? Round to nearest cent.
B) What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account? Round to nearest hundredth of a percent.

Answers

Answer:

A)You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Step-by-step explanation:

We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.

Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.

a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?

Principal = 23750

Rate of interest = 7.75%

No. of compounds per year = 12

Time = 8 years

Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the amount

P is the principal

r = rate of interest

n = No. of compounds

t = time

Substitute the value sin the formula :

[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]

A=44061.6163406

Interest = Amount - Principal

Interest = 44061.6163406-23750

Interest =20311.62

You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account

Principal = 23750

Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]

[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]

Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Jim rents an apartment in New York City for $1600 a month. Mike rents his apartment in Boston for 7/8 as much. How much more does it cost Jim than it does Michael for rent?

Answers

Answer:

Jim pays 200 more dollars per month than Mike.

Step-by-step explanation:

Jim--> $1600/month

Mike--> 7/8(Jim's rent)

7/8(Jim's rent)

7/8(1600)

= $1400

1600-1400= 200

Jim pays 200 more dollars per month than Mike.

I hope that makes sense!

(02.07 LC)
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A
x
C
Ox+ z = y
Oy + z = x
O x + y + z = 180 degrees
Ox + y + z = 90 degrees

Answers

Answer:

Ox+y+z=180

Step-by-step explanation:

The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

We know that a triangle has three angles.

Let x, y and z be the three angles of the given triangle.

We know that, the interior angles of a triangle sum up to 180°.

The given three angles are x, y and z.

So, x + y + z = 180°

Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.

To learn more about Triangles, click on the link given :

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Hello can someone please help me ASAP

Answers

Answer:

A.

Step-by-step explanation:

[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]

Answer:

A

Step-by-step explanation:

Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared

Need quick help on this

Answers

Answer:

C.

Step-by-step explanation:

I cant really explain it but i had the same question and had the answer worked out on the paper

Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)

Simplify: 6-/18 - 3.450

Answers

Answer:

-3.11666666667

Step-by-step explanation:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants. hope this helps you :)

What is 42.8 on its standard form???

Answers

Answer:

[tex]4.28 \times 10^{1}[/tex]

Step-by-step explanation:

[tex]42.8 \times 10^0=42.8[/tex]

[tex]4.28 \times 10^{1}=42.8[/tex]

Answer:

42.8 x 10^0

Step-by-step explanation:

A. Standard Form

Ax + By = C.

A, B, C are integers (positive or negative whole numbers)

No fractions nor decimals in standard form.

Traditionally the "Ax" term is positive.

subtract (-3y2 − 8) − (-5y2 + 1)

Answers

Answer:

2 y^2 - 9

Step-by-step explanation:

(-3y^2 − 8) − (-5y^2 + 1)

Distribute the negative sign

(-3y^2 − 8) + 5y^2 - 1

Combine like terms

-3y^2 + 5y^2 - 1 − 8

2 y^2 - 9

Answer:

The answer to (-3y² - 8) - (-5y² + 1) is 2y² - 9

Step-by-step explanation:

[tex](-3y^2-8)-(-5y^2+1)[/tex]

Since there is a minus sign in front of the second parentheses, then the terms within that parentheses will be changed to their opposite signs.

[tex]-3y^2-8+5y^2-1[/tex]

Combine like terms.

[tex]2y^2-9[/tex]

help sleepyhelp asap

Answers

Answer:

The one that has the number of meals in the side and the one that has number of days

Step-by-step explanation:

If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has

Hope this helps

A smart-phone is thrown upwards from the top of a 240-foot building with an initial velocity of 32
feet per second. The height h of the smart-phone after t seconds is given by the quadratic equation
h = - 16t2 + 32t + 240. When will the smart-phone hit the ground?

Answers

Answer:

t = 5 sec

Step-by-step explanation:

h = - 16t² + 32t + 240

On the ground h = 0.

- 16t² + 32t + 240 = 0 / : (- 16)

t² - 2t - 15 = 0

(t-5)(t+3) = 0

t = 5, t = - 3

Time can be only positive, so t = 5 sec

Choose each number that shows 1/2 % as an equivalent fraction, decimal, or percent. Select all that apply.
A. 0.05
B. 2%
C. 51,000
D. 5100
E. 0.005

Answers

Answer:

E

Step-by-step explanation:

1/2% is .5% = .5/100 = .005

The required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Given percentage term = 1/2%
Since 1/2 = 0.5, and percent % = 1/100th
Togetherly,
=  0.5/100 = 0.005

Thus, the required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

Learn more about percentages here:

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Can someone help me with this question please

Answers

Answer:

x <-8

Step-by-step explanation:

3-(2x-5) < -4(x+2)

Distribute

3 -2x+5 < -4x-8

Combine like terms

8 -2x < -4x-8

Add 4x to each side

8 -2x+4x< -4x-8+4x

8+2x < -8

Subtract 8 from each side

8-8+2x< -8-8

2x<-16

Divide by 2

2x/2 < -16/2

x <-8

Answer:

[tex]x < - 8[/tex]

First answer is correct

Step-by-step explanation:

[tex]3 - (2x - 5) < - 4(x + 2) \\ 3 - 2x + 5 < - 4x - 8 \\ 3 + 5 + 8 < + 2x - 4x \\ 16 < - 2x \\ \frac{16}{ - 2} < \frac{ - 2x}{ - 2} \\ x < - 8[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Given that: 2√2−√5 / 3√2+2√5 = =

Answers

Answer:

7√10/2 - 11

Step-by-step explanation:

(2√2−√5) / (3√2+2√5)=

(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=

(12+10-3√10-4√10)/(18-20)=

(22-7√10)/-2= 7√10/2 - 11

1) Function B: x -> /5 -> +1 = y
find the inverse function of Function B

2) find an expression for m in terms of p.

Answers

Answer:

5x-35

Step-by-step explanation:

f(x)=5x+7

y=5x+7

x=5y+7

x-7=5y

5x-35=y

Show that (−3) × (−4) = +12 using the distributive property.

Answers

-3x-4= +12

X negative 3 and 4 then add +12 to it.

(URGENT)use the vectors to determine two dot products

Answers

u = 9 i - 6 j

v = -3 i - 2j

w = 19 i + 15 j

uv = (9 i - 6 j) • (-3 i - 2j)

Distribute the dot products:

uv = 9*(-3) (i • i) + 9*(-2) (ij) + (-6)*(-3) (j • i) + (-6)*(-2) (jj)

i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have

uv = 9*(-3) + (-6)*(-2) = -27 + 12 = -15

In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.

uw = 9*19 + (-6)*15 = 81

Answer:

A I believe

Step-by-step explanation:

Edge2021

Which of the following best describes the relationship between the chords NR and QS shown in the diagram below?

Answers

Answer:

C

Step-by-step explanation:

By observation, we can see very clearly that NR and QS are neither parallel nor perpendicular. Hence we can ignore A and B.

We notice that VT and VU are the same length.

Hence we can conclude that NR and QS must also be the same length (i.e they are congruent)

Therefore C is the answer.

I know this is easy but can someone answer this ?

Answers

Answer: 57.15°F

Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...

62.4°F - 5.25°F = 57.15°F

The tempature is 57.15°F at 8 PM, I hope this helps!

What is the probability that out of 175 chicks hatched on Peeper Farm, at
least 80 will be female? Assume that males and females are equally probable,
and round your answer to the nearest tenth of a percent.
A. 88.7%
B. 38.1%
C. 3.5%
D. 99.7%

Answers

The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

Given that,

Total number of hatched chicks = 175
At least 80 are female,

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in the question
total chicks(total sample) = 175
probability for at least 80 chicks will be female.
Probability  = number of female chicks / total number of chiks
                 = 80 /175
                 =  0.45 or 45%

Thus, The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.

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thats not even an answer

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Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms Suppose a rock in free fall is dropped off a cliff. After falling 5 seconds, itsspeed will be 100 m/s.A. TrueB. False find the area of the shape attached Please help! Which statement is true, about the following of the two triangles? (Refer to image) A: ADC ACB, by the SSS congruence postulate.B: ADCACB, by the SAS congruence postulate.C: ADC CBA, by the SSS congruence postulate.D: ADCCBA, by the SAS congruence postulate. A scientist isolates a microbe from a contaminated water source. She thinks that the organism might be a new bacteria that is capable of surviving in the presence of lead, a heavy metal. She makes tubes of growth medium containing either no lead, 0.1 mg lead, 0.25 mg lead, 0.5 mg of lead or 1 mg of lead. She inoculates each tube with the 10 x 103 cells of the new organism and then incubates the inoculated medium at 37oC. After 48 hours, she examines the tubes of medium and finds that there is no growth in any of them. However, she finds that the bacteria grew fine in medium that did not contain any lead. She decides to repeat the experiment using lower concentrations of lead than those she used initially. what conclusion can the scientist in this scenario make from her result? 1) all contaminated water contains high levels of lead and other heavy metals 2) the amount of lead used in the experiment killed the bacteria being tested 3) all experiment should be repeated three times or more 4) lead-contaminated water does not contain any bacteria at all 5) the test bacteria take more than 48 hours to grow in the laboratory when incubated at 37 degree Celsius What is the best example of electromagnetic energy in everyday life Translate the phrase into a variable expression. Use the letter d to name the variable. If necessary use the asterisk for multiplication and the slash for division. the product of 40 and distance to the finish line whats a simple definition for personification Please help 3. What were the key differences between the Greek city-states Athens and Sparta? Which is regarded as one of the founding civilizations to use democratic values in government? 4. What led to the transition of Rome from a Republic to an Empire?lm 6. To isolate benzoic acid from a bicarbonate solution, it is acidified with concen- trated hydrochloric acid, as in experiment 1. What volume of acid is needed to neutralize the bicarbonate Please help this is about be getting a 4/4 in my math class now I have 3/4 I want to get 4/4 please help... Algebra 2 can anyone help?? What force is required to give an object with mass 2000 kg an acceleration of3.5 m/s2?A. 571 NB. 7000NC. 10,500 ND. 2535 N Please somebody help me with this ASAP!!! Please help. Ill mark you as brainliest if correct! Which table represents a function that does not have a constant rate ofchange?O A.A/WIN/Holxy1623303744O B.01234y3036424854O c.012341112141826OD.01234y1018263442 What percent is equivalent to 1 Over 20 Leonard Technologies invests $ 62,000 to acquire $ 62,000 face value, 8%, fiveminusyear corporate bonds on December 31, 2014. The bonds will mature on December 31, 2019. The bonds pay interest semiannually on December 31 and June 30 every year until maturity. Assume Leonard Technologies uses a calendar year. Based on the information provided, which of the following will be included in the journal entry for the transaction on December 31, 2018?a. a debit to Interest Revenue for $5,400 b. a credit to Interest Revenue for $2,700 c. a debit to Interest Revenue for $2,700 d. a credit to Interest Revenue for $5,400 Which of the following is a polynomial?O A. ( - 4)(x + 1)O B. x-2-1O c. 1+2O D. x-2 Triangle ABC has measures a = 2, b = 2, and mzA = 30.What is the measure of angle B?15304560