Use inductive reasoning to describe the pattern of the sequence. Then find the next two terms. 6, 24, 96, 384, ...

A. Multiply by 3; 672, 960.

B. Multiply by 4.5; 402, 420.

C. Multiply by 4; 1536, 6144.

D. Multiply by 3.5, 576, 764.​

Answers

Answer 1

Answer:

1536 and 6144

Step-by-step explanation:

you are multiplying by 4

I hope this helps you to understands better

Answer 2

The next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

Given the sequence of numbers expressed as 6, 24, 96, 384, ...

The given sequence is a geometric sequence. The nth term of the sequence is expressed as;

[tex]T_n = ar^{n-1}[/tex]

a is the first term

r is the common ratio or multiplicity

n is the number of terms

Given the following parameters

a = 6

r = 24/6 = 96/24 = 4

n = 5 and 6 (5th and 6th term)

For the fifth term;

[tex]T_{5} = 6(4)^{5-1}\\T_5=6(4)^4\\T_5 = 1536[/tex]

For the sixth term;

[tex]T_{6} = 6(4)^{6-1}\\T_6=6(4)^5\\T_6 = 6144[/tex]

Hence the next two-term of the sequence is 1536 and 6144 and the multiplicity is 4

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Related Questions

Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m

Answers

Answer:

D

Step-by-step explanation:

[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]

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

[tex]c = \sqrt{36 + 64} [/tex]

[tex]c = \sqrt{100 } [/tex]

[tex]c = 10[/tex]

Pythagorean theorem

Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.

1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)

Answers

Answer:

Explanation:

1.
f(x) + g(x)
= (7x - 2) + (-x + 4)
= 7x - 2 - x + 4
= 6x + 2

2.
f(x) + h(x)
= (7x - 2) + (-4x + 1)
= 7x - 2 - 4x + 1
= 3x - 1

3.
h(x) + g(x)
= (-4x + 1) + (-x + 4)
= -4x + 1 - x + 4
= -5x + 5

4.
f(x) - g(x)
= (7x - 2) - (-x + 4)
= 7x - 2 + x - 4
= 8x - 6

5.
h(x) - f(x)
= (-4x + 1) - (7x - 2)
= -4x + 1 - 7x + 2
= -11x + 3

6.
g(x) - h(x)
= (-x + 4) - (-4x + 1)
= -x + 4 + 4x - 1
= 3x + 3

if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)

Answers

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

2. Doug can row 3 1/2 miles in 1/4 hour. What
is his average speed in miles per hour?
SHOW WORK!

Answers

Answer:

14 miles

Step-by-step explanation:

He can row 3.5 miles in .25 hours.

If there are 60 mins in an hour. Take the .25 hour and times by 4 to get a whole hour.

Since 3.5 miles is for .25 hr, take the 3.5 times by 4 to get what he rows in a whole hour.

3.5*4= 14 miles.

Factor the GCF: −14y2 + 12y − 22

Answers

Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?​

Answers

Answer:

Please read the explanied answer below.

Step-by-step explanation:

As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

Exterior angle = 360° ÷ No. of sides

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.

1. You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)







(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)

Answers

Answer:

a) $3000

b) $1500

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 4

interest = 3000

b)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 2

interest = 1500

you save $1500 if you pay after 2 years

Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2

Answers

1.) 20x
2.) 1y
3.)-2t
4.)3n
5.)17w^2

Multiply out 3(2x-7)

Answers

Answer:

6x-21

Step-by-step explanation:

3*2x = 6x

3*-7 = -21

6x-21

The answer is 6x-21, multiply the equation with distributive property

HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED

Answers

Answer:

11.3

Step-by-step explanation:

Answer:

16641

Step-by-step explanation:

129 x 129=16641

HTH :)

Write the recurring decimal 0.63as a fraction

Answers

Answer:

63/100, this can't further more simplified

Step-by-step explanation:

i hope it helped you please give me brainliest

Lee buys a parcel of land in the shape of a rectangle. It has an area of 1,125 square feet and a width of 25 feet. What is the length of the parcel of land? Show your work.

Answers

Answer:

45 feet

Step-by-step explanation:

Area of a rectangle = length × width

Area of the rectangle = 1,125 square feet

Length of the rectangle = x feet

Width of the rectangle = 25 feet.

What is the length of the parcel of land?

Area of a rectangle = length × width

1,125 = x * 25

1,125 = 25x

Divide both sides by 25

x = 1,125 / 25

= 45

x = 45 feet

The length of the parcel of land is 45 feet

ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate​

Answers

Answer:

he would walk 1 mile in 2 hours

Step-by-step explanation:

which is very slow tbh

Question 3 OT 5
What is the simplified fractional equivalent of the terminating decimal 0.25?
A.5/2
B. 1/4
c.2/5
D. 25/100

Answers

1/4 as 25 goes into 100 four times and 25 is one of those

Answer:

uhh

Step-by-step explanation:

A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?

Answers

Answer:

The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

Step-by-step explanation:

Assume that the length of the pool is x feet

∵ The length of the pool is x feet

∵ The wide of the walkway around the pool is 5 feet

∴ The total length of the pool with the walkway = (x + 5) feet

∵ The area of the entire plot, including the walkway, is A square feet

∴ The area of the entire plot, including the walkway = A feet²

∵ The area of the square = (length)²

→ Substitute the length by (x + 5)

∴ The area of the entire plot, including the walkway = (x + 5)² feet²

→ Equate it by A

A = (x + 5)²

→ To find x take square root for both sides

∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]

→ Cancel the square root of the right side by power 2

∴ [tex]\sqrt{A}[/tex] = x + 5

→ Subtract 5 from both sides

∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5

∴  [tex]\sqrt{A}[/tex] - 5 = x

→ x represents the length of the pool

∴ The length of the pool is  [tex]\sqrt{A}[/tex] - 5 feet

The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5

The length of the pool will be √A-10.

What is area?

Area is defined as the total space taken up by a flat surface or shape of an object.

Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.

The area of a square is side².

Let the side of the walkway be (x+10)

A =  (x+10)²

√A = x+10

x = √A-10

Hence, The length of the pool will be √A-10.

Learn more about area;

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Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?

Answers

Answer 50 is the answer have a good day

Answer:

50 ribbons

Step-by-step explanation:

To find how many ribbons she can make, divide 32 by 0.64:

32/0.64

= 50

So, she can make 50 ribbons from her roll

What is the measure of \large \angle V?

Answers

Answer:

THe interior angles of any triangle equal 180

THerefore 48+87+v=180

48+87+v=180

87+v=132

v=45

Step-by-step explanation:

I need HELPPPP!!!!! ASAPPPP

Answers

Answer:

<1 =100 (check explanation for why)

<2 = 80 (check explanation for why)

<3 = 100 (check explanation for why)

Step-by-step explanation:

You can get <1 from the given angle being a linear pair  to <1, so:

180= 80+ <1

100= <1

You can get <2 from being a linear pair to <1, so:

180 = 100 + <2

80 = <2

You can get <3 from being a linear pair to <2

180 = 80 + <3

100= <3

Answer:

m<1= corresponding

m<2=vertical angle

m<3=consecutive interior angle

But i am not sure entirely.

Rewrite each linear equation in standard form. Then, state the values for A, B, and C.


0.09x-0.01y=0.39 _____
A=_______,B= _______,C= _______

Answers

Answer:

A = 9/100

B = -[1/100]

C = -[39/100]

Step-by-step explanation:

Given:

0.09x - 0.01y = 0.39

Find:

A,B,C

Computation:

Linear equation;

Ax + By + C = 0

So,

0.09x - 0.01y = 0.39

9x/100 - 1y/100 = 39/100

9x/100 - 1y/100 - 39/100= 0

So,

A = 9/100

B = -[1/100]

C = -[39/100]

It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200

Answers

Answer:

300+200

Step-by-step explanation:

did not give a equation

Answer:

300 + 200x

Step-by-step explanation:

200 is the one that's changing so it has the x.

The sixth root of (729x30 y 18 )?

Answers

729
x
30
y
18 is the 6th root

If ABC is congruent to DBE find x

Answers

Answer:

x=44 degrees

Step-by-step explanation:

5y-4 has to equal 81 in order for the two triangles to be congruent.

The sum of the interior angles of a triangle is always 180 degrees.

81+51=132 degrees

180-132=48

x+4=48

x=48-4

x=44 degrees

Answer

X=44 degrees

Explanation:I just did that in one of my questions in my work and I got it correct.

IGOOD LUCK AND HOPE U GET IT CORRECT ALSO :)

Function f is defined by the equation f (x) = x^2.
What is f (3)
PLZ HURRY

Answers

Answer:

f(3) = 9

Step-by-step explanation:

f(x) = x^2

f(3) means "When x is 3" So, we substitute x with 3.

f(3) = 3^2

f(3) = 3 x 3 = 9

f(3) = 9

A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)

Answers

Answer:

12

Step-by-step explanation:

Select the expressions that are equivalent to 6u + U.
7u

U times 7

40 + 2u + u

3u + 4u

Answers

Answer:

7u, U times 7, and 3u + 4u.

what is 0.16(line over six) in reduced form​

Answers

Answer:

1/6

Step-by-step explanation:

hope this helps.

Please do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.

20% tip on a bill of $59.82

Answers

Answer:

$12

Explanation: 60 x .2= 12 + 60= $72

6th grade math i mark as brainliest​

Answers

Answer:

3x5 are factors of 75

Step-by-step explanation:

good day mate

Answer:So, the prime factors of 75 are written as 3 × 5 × 5 or 3 x 5^2, where 3 and 5 are the prime numbers.

Step-by-step explanation:Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

mark as the brainliest

A negative multiplied/divided by a negative (same signs) equals a _

positive

negative

Answers

Answer:

When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.

Step-by-step explanation:

Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?

Answers

Answer:

15:20=3:4

Step-by-step explanation:

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