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Ira Lisetskai [31]
2 years ago
15

Write an explicit formula for an,the Nth term of the sequence 4,12,36

Mathematics
1 answer:
Rudik [331]2 years ago
6 0

Answer:

3^{n}+3^{n-1}

Step-by-step explanation:

Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be x^n + yn

Because the sequence multiplies by 3 each time, The base number in that equation would be 3^n +yn.

So 3^n of the equation would be:
3, 9, 27.

Compare the 2 equations:
4, 12, 36

3, 9 ,27

The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 3^{n-1}.

Combine these 2 equations together and you get:

3^{n}+3^{n-1}.

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Answer:47

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8 0
3 years ago
The wheels on a car have a diameter of 28 inches. How many full revolutions will the wheels need to make to travel 200 feet?
rodikova [14]
Here we're interested in the circumference:  C = pi*d.  In this case C = 3.14*(28 inches) = 88 inches. 

Now divide this 88 inches into 200 feet to get the # of revolutions ncessary to travel 200 feet.

200 feet     12 in
------------ * --------- = 2400 inches
       1           1 ft

2400 inches
----------------------- = 27.2 revolutions   (answer)
[ 88 inches/ rev ]
4 0
3 years ago
Find two numbers that round to 387.4 when rounded to the nearest ten
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Answer:

39

Step-by-step explanation:

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6 0
2 years ago
A local food mart donates 20% of it's friday's sales to charity.
Digiron [165]

Answer:

$64

Step-by-step explanation:

We have been given that a local food mart donates 20% of it's Friday's sales to charity. This Friday the food mart had sales totaling 320.00 dollars.

To find the the amount donated to the charity, we will find 20% of $320.

\text{The amount donated to the charity}=\$320\times\frac{20}{100}

\text{The amount donated to the charity}=\$320\times0.20

\text{The amount donated to the charity}=\$64

Therefore, $64 were donated to the charity.

5 0
3 years ago
What does an r value of −1 represent in correlation?
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