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What is the common ratio of the geometric sequence below?625,125,25,1...

User Clse
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2 Answers

5 votes

Answer:


\large\boxed{1/5}

Explanation:

In this question, we're trying to find the common ratio.

We're trying to find the common ratio of the geometric sequence:

625, 125, 25, 1...

The common ratio is the number in which a sequence is changing by.

In order to find the common ratio, we're going to need to figure out how the geometric sequence is changing from each number.

In order to get from 625 to 125, you would need to divide by 5.

In order to get from 125 to 25, you would need to divide by 5.

Since the geometric sequence is decreasing, we would need to make our common ratio a fraction.

We know that it's decreasing by 5, so we would represent that as 1/5

The common ratio is 1/5

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

User Nir
by
5.9k points
2 votes

Answer:

Devide by 5

Explanation:

625 / 5 = 125

125 / 5 = 25

25 / 5 = 5

User Aflat
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5.4k points