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maw [93]
3 years ago
11

-4/3,4/9,-4/27,4/81,-4/243... what is the common ratio! HELP ASAP

Mathematics
1 answer:
kaheart [24]3 years ago
3 0
Answer: The common ratio is -1/3

-----------------------------------------------------------

Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4) 
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3

This means you multiply each term by -1/3 to get the next term

For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9

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2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.
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Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

V=\pi r^2h

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- V_1 the volume of one of this cylinders and V_2 the volume of the other one.

- r_1 the radius of the first one and r_2 the radius of the other cylinder.

- h_1 the height of one of them and h_2 the height of the other cylinder.

Then:

V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2

Therefore, you know this:

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Simplifying, you get:

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Evaluating, you get:

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