Explicit formula for an, the nth term of the sequence 48,12,3,...

Answers

Answer 1

Answer:

a(n) = 48*(1/4)^(n - 1)

Step-by-step explanation:

Here the first term, a(1), is 48 and the common ratio is r = 1/4.

Thus, the specific formula for the information given is

a(n) = 48*(1/4)^(n - 1)


Related Questions

Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Part F: 100% of 22.5 = Part G: 10% of 22.5 = Part H: 50% of 45.7 =

Answers

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

              Part A: 25% of 50 =

              Part B: 25% of 60 =

              Part C: 50% of 60 =

              Part D: 75% of 60 =

              Part E: 75% of 30 =

              Part F: 100% of 22.5 =

              Part G: 10% of 22.5 =

              Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 =  [tex]\frac{25}{100} *50[/tex] = [tex]\frac{1}{4}*50[/tex] = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 =  [tex]\frac{25}{100} *60[/tex] = [tex]\frac{1}{4}*60[/tex] = 15

⇒25% of 60 = 15

Part C :

50% of 60 =  [tex]\frac{50}{100} *60[/tex] = [tex]\frac{1}{2}*60[/tex] = 30

⇒50% of 60 = 30

Part D :

75% of 60 = [tex]\frac{75}{100} *60[/tex] = [tex]\frac{75}{10}*6[/tex] = 45

⇒75% of 60 = 45

Part E :

75% of 30 = [tex]\frac{75}{100} *30[/tex] = [tex]\frac{75}{10}*3[/tex] = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = [tex]\frac{100}{100} *22.5[/tex] = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = [tex]\frac{10}{100} *22.5[/tex] = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 =  [tex]\frac{50}{100} *45.7[/tex] = [tex]\frac{1}{2}*45.7[/tex] = 22.85

⇒50% of 45.7 = 22.85

I need to know both of the questions please!

Answers

Answer: x=10 and angle RST is 75 degrees

Step-by-step explanation:

can someone pleease help my teacher will not help me.

Answers

Answer:

The perimeter is 206.

Step-by-step explanation:

When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.

The answer is 206 yes

Find the area, use 3.14 for pi

Answers

Answer:

113.04

Step-by-step explanation:

The formula for the area of a circle is A=(pie)r²

So the equation is 3.14 x 6² = 113.04

The question: Solve This Question 00110001 00100000 01101101 01101001 01101110 01110101 01110100 01100101 00100000 01101001 01101110 01110100 01100101 01110010 01110110 01100001 01101100 01110011

Answers

Answer:

6

Step-by-step explanation:

it's 6 because I said it's 6

I don’t understand thiss

67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways

Answers

Answer:

A

Step-by-step explanation: add 15+12+7

if im write can i get a brainliest? plss:>

The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

To learn more about permutations visit:

https://brainly.com/question/14368656

#SPJ2

Help I'll give Brainly

Answers

Answer:i think D

Step-by-step explanation:

what is the hypothesis of a triangle with a base of 11cm and height of 9cm

Answers

Answer:

14.21 cm

Explanation:

you mean the hypotenuse* lol

the hypotenuse = √(11²+9²)

the hypotenuse = √(121+81)

the hypotenuse = √(202)

the hypotenuse ≈ 14.21 cm

What is the inverse you would use to solve this problem: c/2=16

Answers

Answer:

multiplication

Step-by-step explanation:

Which of the following statements are true?


A) 3 lbs of sugar is sugar is required to make 60 muffins.


B) 120 lbs of sugar is required to make 6 muffins.


C) 0 lbs of sugars required to make 0 muffins.


D) The maximum number of muffins that can be made is 220

Answers

Answer:

C

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

Which of the following equations represents this statement

Answers

Answer: 5n = 35

Step-by-step explanation:

The product of a number n and the number 5 is 35. This statement can be formed into an equation as:

n × 5 = 35

5n = 35

The equation is 5n = 35

If we want to get the value of the number, it'll be:

5n = 35

n = 35/5

n = 7

The number is 7

please help with the question below

Answers

Answer:

I’m not sure but I. Think it’s a I guess

Step-by-step explanation:

Please help! I really don't understand...

Answers

it would be 3 feet but i would say i would only agree if it was rounded up to the nearest tenth place

What is -8w-4 simplified?

Answers

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] - 4(2w + 1)[/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex] - 8w - 4[/tex]

Bind the expression with the common factor -4

[tex] - 8w - 4[/tex]

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Answer: −4(2w+1)

Step-by-step explanation: Hope this help :D

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Answers

Answer:

x = 10, y ≈ 11.2

Step-by-step explanation:

Hi there,

We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]   ← Pythagorean Theorem

To find x:

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

c = 10

Therefore, the value of x is 10.

To find y:

We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.

[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]

[tex]a^{2}[/tex]  + 100 = 225

[tex]a^{2}[/tex] = 125

a = [tex]\sqrt{125}[/tex]

a = 11.2 when rounded to the nearest tenth.

Therefore, the value of y is approximately 11.2.

Hope this explanation is useful. Cheers.

Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the amount of money Kelly will have saved

Answers

Answer:

$620 every year

Step-by-step explanation:

Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.

What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5

Answers

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

What is the equation of proportionality?

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

To learn more about the proportionality visit:

https://brainly.com/question/24868934

#SPJ2

he line segment is rotated by 270 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
1. C′D′ is 4 units long.
2. C′D′ is 8 units long.
3. C′D′ is parallel to CD.
4. C′D′ is half the length of CD.

Answers

Answer:

it is parrell

Step-by-step explanation:

The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Please answer this!!! No links !!!

Answers

My work for your question

what do ducks short necks help them to do? pls help :/

Answers

Answer:

In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water

Step-by-step explanation:

hope this helps

Plzzz helpppp
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8.


What is the least number of boxes of 8 candles that Terry needs to buy?

Answers

Answer:

11 boxes of candles

Step-by-step explanation:

first, set it up as an equation. let x stand for the amount of boxes she needs.

100=8x+15

next, subtract 15 from both sides of the equation.

100-15=8x+15-15

85=8x

then, you need to get x by itself. to do this, divide 8 from both sides of the equation.

85/8=8x/8

x=10.62, but you can't buy half a box, so you have to round up.

so, she needs to buy 11 boxes of candles.

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges
$2490 to rent trucks plus an additional fee of $200.75 for each ton of sugar. The second company charges $4500 to rent
trucks plus an additional fee of $100.25 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?
What is the cost when the two companies charge the
same?

Answers

I think it's how you do this!

5495 + 200.75x = 7500 + 100.50x

100.25x = 2005

x=20 <- the amount of sugar at the equilibrium point.

7500 + 100.50(20)

7500 + 2005

$9505 <- the cost at that point. ■

Which function has a graph with
x-intercepts of (-2, 0) and (7,0)?

The photo is the answers

Answers

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Answer is A

solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

63.5°

Step-by-step explanation:

Reference angle = x°

Opposite = 17

Hypotenuse = 19

Apply the trigonometric function, SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

2 BEC = 74°. What is 2 AED?




Answers

Answer:

AED is also 74

Step-by-step explanation:

they share the same crossing lines

Answer: 74

Step-by-step explanation:

Ruth buys 19 identical tickets for £280.25.
Estimate the cost of one ticket.

Answers

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

5x+2y=-10
-3x - 2y=6
Solve by elimination I’m confused

Answers

The answer is
x=-2 y=0

Sue invested $2400 at a 3% simple interest rate for 18 months. How much did she earn on her investment after the 18 months?

Answers

Answer:

sinple interest= principle*rate*time/100

SI= 2400*3*1.5/100

SI= 108

AMOUNT= SI + PRICIOLE

AMOUNT= 108+2400

AMOUNT= 2508

{ I converted 18 months to 1.5 years}

The ordinate of every point on the x-axis is zero. True or false?

Answers

Answer:

true

Step-by-step explanation:

the first number is mostly known as 1 but actually is 0 because it is a separation between the negative and positive numbers

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