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Ugo [173]
4 years ago
5

Are the ratios 25/45 and 15/27 proportional? Explain.

Mathematics
1 answer:
ivanzaharov [21]4 years ago
4 0
First ration we will divide by 5 (both numbers) and second one by 3 (again both numbers).

First ratio becomes         (25:5)/(45:5) = 5/9
Second ratio becomes    (15:3)/(27:3) = 5/9
Since we can simplify them in that way that both are the same that means they are proportional.
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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

the first term is - 1

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

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