Identify the type of sequence shown in the table below and select the appropriate response. N: 1, 2, 3, 4, 5
F(n): 12, -36, 108, -324, 972

A) arithmetic sequence; common difference is -48

B) arithmetic sequence; common difference is 144

C) geometric sequence; common ratio is -3

D) geometric sequence; common ratio is 3

Answers

Answer 1

Answer:

The sequence N: 1, 2, 3, 4, 5; F(n): 12, -36, 108, -324, 972 is,

C) geometric sequence; common ratio is - 3.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

By observing the sequence N: 1, 2, 3, 4, 5; F(n): 12, -36, 108, -324, 972,

we can surely conclude that this is not an arithmetic sequence because the difference between the terms is not the same.

We know, In a geometric sequence numbers are written in the same constantratio(r), Therefore,

972/- 324 = - 324/108 = 108/ - 36 = - 36/12 = - 3.

So, It is a geometric sequence with a common ratio of - 3.

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Answer 2

Answer: 972/ -324 = -3
-324/ 108 = -3
108/ -36 = -3
-36/ 12 = -3

Geometric series means multiplying a common ratio to the next number.

The answer is C) geometric sequence; common ratio is -3.

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What is it called when columns filled with pairs of numbers that have the same ratio

Answers

You can call it a constant proportionality table because it is used to find the constant of proportionality and proportional relationships. (I am not really sure)

What percent of 50 is 47

Answers

50 * n% = 47

n% = 47/50

n % = .94

94%

so 50 * 94 % = 47

& 50 - 94% = 3

& 50 - 6% = 47

& 50 * 6% = 3
I think i helped you :-)

47/50
multiply by 2 both sides
94/100

What is the word form for 2.51 and expanded form

Answers

Word Form:
Two and fifty-one hundredths

Expanded Form:
2 + 0.5 + 0.01

Hope I Helped You!!! :-)

Have A Good Day!!!

Use the distributive property to simplify (100+4z)20

Show your work and show each step.

Answers

$(100+4z)20$ $Expand$

$20*100+20*4z$ $\ Distribute$

$2000+20*4z$

$2000+80z$

Draw a 30° angle in standard position on the coordinate plane. Show the direction of rotation. Label the terminal side and the angle measure.

Answers

also the direction is anti clockwise

I hope it could help you :)

Final answer:

To draw a 30° angle in standard position on the coordinate plane, start by drawing the initial side of the angle which is the positive x-axis. Use a protractor to measure a 30° angle counterclockwise from the initial side. Then draw a line from the origin to the endpoint of the angle to represent the terminal side. Label the angle measure as 30° and label the terminal side accordingly. Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

Explanation:

To draw a 30° angle in standard position on the coordinate plane, follow these steps:

Start by drawing the initial side of the angle, which is the positive x-axis.
Using a protractor, measure a 30° angle counterclockwise from the initial side.
Draw a line from the origin to the endpoint of the angle to represent the terminal side.
Label the angle measure as 30° and label the terminal side accordingly.
Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

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victoria invited 260 people to her quinceanera party. 76 guest rode in corvettes and the rest rode in 23 suburbans. how many guest rode in each suburban