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3 years ago

Find the 4th term in the sequence with the following definition

Mathematics

1 answer:

VMariaS [17]3 years ago

7 0

Answer:

-37

Step-by-step explanation:

$a_{1}=-2\\a_{n}=2a_{n-1}-3\\a_{2}=2a_{1}-3=2(-2)-3=-4-3=-7\\a_{3}=2a_{2}-3=2(-7)-3=-14-3=-17\\a_{4}=2a_{3}-3=2(-17)-3=-34-3=-37$

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fenix001 [56]

Answer:

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Step-by-step explanation:

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4 years ago

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Slav-nsk [51]

Answer:

Step-by-step explanation:

Let's find the area of each of the two circles.

First Circle:

The first circle has a diameter of 10 inches. That means the radius is 5 inches. So, its area is:

$A=\pi r^2\\A=\pi (5)^2\\A=25\pi$

Second Circle:

The second circle has a diameter twice that of the first. So, the diameter is 20 inches. This means that the radius is 10 inches. Find the area:

$A=\pi r^2\\A=\pi (10)^2\\A=100\pi$

Now, find the ratio between them by dividing:

$\frac{\text{Smaller}}{\text{Larger}}=\frac{25\pi}{100\pi}$

Simplify:

$\frac{\text{Smaller}}{\text{Larger}}=\frac{1}{4}$

1/4 is the same as 1:4

So, our answer is C :)

5 0

3 years ago

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Answer:

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Step-by-step explanation:

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IrinaVladis [17]

Answer:

We know that a negative value is positive of all even exponents and negative for all odd exponents.

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3 years ago

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Dovator [93]

Answer:

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Step-by-step explanation:

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