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3 years ago

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Mathematics

1 answer:

musickatia [10]3 years ago

5 0

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Which formula can be used to describe the sequence?

mafiozo [28]

Answer:

The formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

Step-by-step explanation:

Given : sequence -4, −24, −144,...

We have to find the formula that can be used to describe the given sequence -4, −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as $a_n=ar^{n-1}$

Where a is first term and r is common ratio.

Consider the given sequence -4, −24, −144,...

We find the common ratio ,

$a=-4, \\\\ar=-24,\\\\\ ar^2=-144$

Thus, common ratio is given as $r=\frac{ar}{r}=\frac{-24}{-4}=6$

Thus, the given sequence is a geometric sequence.

The general term is given by $a_n=ar^{n-1}$

Put a = -4 , r = 6

We have

$a_n=-4(6)^{n-1}$

Thus, the formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

5 0

3 years ago

Read 2 more answers

-30-0.6k <br>what does k equal?

Fed [463]

Answer:

K would equal to:

K= 50

Hope that helps! :)

Step-by-step explanation:

3 0

3 years ago

Please help ASAP <br> I know the lesson but I’m confused if it’s either A B or maybe even C or D.?

grigory [225]

I think that the best answer is B

7 0

4 years ago

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Find the slope of the line?

LenKa [72]

Answer:

-3/4

Step-by-step explanation:

Option 1

Direction of the line: Down

-Negative Slope

Rise=-3

Run=4

Rise/Run=-3/4

Option 2

Points: (1,-2) and (-3,1)

y2-y1/x2-x1= 1-(-2)/-3-1

1+2/-3-1

-3/4

3 0

4 years ago

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A group of 4 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their l

ale4655 [162]

To find the median you list out all the numbers and find the middle.

80, 90, 100

With angie getting 75, it goes from "80, 90, 100" to "75, 80, 90, 100"

This changes the median from 90 to 85.

Mean is the average of all the numbers. The average of the first set of numbers (Found by adding all of the numbers up and dividing by the amount of numbers present) is 90.

The mean of the second set is 86.25

The answer would be A, both the mean and median will decrease.

5 0

4 years ago

Read 2 more answers