How do you tell whether the sequence $5, 10, 20, 40, 80, ...$ is geometric?

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How do you tell whether the sequence $5, 10, 20, 40, 80, ...$ is geometric?

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Answer 1 · 2017-03-15T21:57:24

You can tell if $f(n+1)/f(n)=$ some number that is the same for all the numbers in the series

Explanation:

$10/5=2$

$20/10=2$

$40/20=2$

$80/40=2$

All these terms have a common ratio of 2. That means, if you take the next term up and divide it with the first term, you will always get this common ratio if it's a geometric series.
Since when you divide them, you always get the common ratio, that means the series is geometric.

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How do you tell whether the sequence $5, 10, 20, 40, 80, ...$ is geometric?

1 Answer

Explanation:

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Science

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How do you tell whether the sequence 5, 10, 20, 40, 80, ...5, 10, 20, 40, 80, ... is geometric?

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Explanation:

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How do you tell whether the sequence $5, 10, 20, 40, 80, ...$ is geometric?