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aleksklad [387]
3 years ago
9

What formula can be used to describe the sequence ?

Mathematics
2 answers:
Ne4ueva [31]3 years ago
6 0
I think this is the 3 one... can i have brainliest?
kherson [118]3 years ago
5 0
<h2>Answer:</h2>

The  formula which can be used to describe the sequence is:

                f(x+1)=2f(x)

<h2>Step-by-step explanation:</h2>

The sequence is given by:

         -2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....

The terms of the sequence could also be written as:

\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....

This means that the first term of the sequence is:

f(1)=\dfrac{-8}{3}

The second term of the sequence is:

f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)

f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)

and so on.

                 Hence, the formula is given by:

           f(x+1)=2f(x)

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How much interest does Ms. Paris earn on an $1800 loan for 6 months with a simple interest rate of 8.5%?
ddd [48]

Answer:

$1136.60

Step-by-step explanation:

The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.

We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:

f(x)=1800(1 + r)^x

We also know the time intervals is 6 months. So that can be substituted as well:

f(x)=1800(1 + r)^6

They told you that the growth rate is 8.5%, which is 0.085 of 1.

f(x)=1800(1 + 0.085)^6

Add the 2 values in the parentheses and you get 1.085

f(x)=1800(1.085)^6

Now solve.

Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:

1800(1.63146751) = 2936.64152. That rounds to 2936.60

So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.

$2936.60 - $1800 = $1136.60

6 0
3 years ago
I need help on how to get the answer too number 27.
KiRa [710]
A^2 + b^2 = c^2
3^2 + 8^2 = c^2
9 + 64 = c^2
73 =c^2
take the square root of each side
c= 8.544

3 0
3 years ago
Please answer below :-)
mestny [16]

Answer:

A: 18

Step-by-step explanation:

Hopefully this helps!

3 0
3 years ago
A cube has an edge length of 7 centimeters.what is the lateral surface of the cube ?
IgorLugansk [536]
The answer is 196!!!!!!!
6 0
3 years ago
PLEASE HELP TIMED TEST HELP!!!!!!!!
Lelu [443]

Answer:

Step-by-step explanation:

The equations that she wrote are

6x+8y=133

2x=y

The following statements about the system are true

1.Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133

5. The second equation is correct because there are more 6 inch pies and 2 times a number is always more.

The following statements are wrong because,

2. Because there was no relationship between the number of pipes sold and the size of each pipe.

3. x=2y shows that there are more 8 inches pipes

4. 6 and 8 are just size descriptions. It is only the cost of each size of pipe that related to the total cost

6 0
4 years ago
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