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Keith_Richards [23]
3 years ago
9

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

20

Step-by-step explanation:

360÷18=20

thus ,the polygon have 20 sides

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30 POINTS! Find an explicit formula for the geometric sequence −1,−7,−49,−343<br> d(n)=
e-lub [12.9K]

Answer:

<h2>d(n) = { - 7}^{n - 1}</h2>

Step-by-step explanation:

Since the sequence above is a geometric sequence

For an nth term in a geometric sequence

<h3>d(n) = a ({r})^{n - 1}</h3>

where

a is the first term

r is the common ratio

n is the nth term

To find the common ratio divide the previous term by the next term

That's

<h3>r =  \frac{ - 7}{ - 1}  = 7 \:  \:  \:  \: or \\ r =  \frac{ - 49}{ - 7}  = 7 \:  \:  \:  or \\ r =   \frac{ - 343}{ - 49}   = 7</h3>

So the common ratio / r = 7

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Substitute the values into the above formula

<h3>d(n) =  - 1( {7})^{n - 1}  \\</h3>

We have the final answer as

<h3>d(n) = { - 7}^{n - 1}</h3>

Hope this helps you

3 0
4 years ago
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