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The absolute value of the common ratio is less than 1.

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Q: Condition for an infinite geometric series with common ratio to be convergent?
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How can you tell if a infinite geometric series has a sum or not?

The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.


If the sum of an infinite geometric series is 12 and the common ratio is one third then term 1 is what?

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It's a geometric progression with the initial term 1/2 and common ratio 1/2. The infinite sum of the series is 1.


What does summation of infinite series?

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Rift Valleys are the most common at oceanic-continental convergent boundaries.


What do convergent and divergent have in common?

The things in common is that they form something.


What convergent and divergent have in common?

The things in common is that they form something.


What is the highest common multiple?

The highest common multiple is an infinite amount and not very practical for problem-solving.


Is the following sequence arithmetic or geometric and what is the common difference (d) or the common ration (r) the common ratio (r) of the sequence π2π3π22π?

The sequence is neither arithmetic nor geometric.


What are common multiples of 8 and 36?

there is an infinite amount of common multiples. you can take each of these numbers out to infinite and you will have an infinite amount of multiples also. the lowest common multiple however is 72


What is the definition of geometric probability?

Geometric probability is the probability of a random event within taking place a geometric plane. The idea of geometric probability covers a wide range of problems, but the common theme is probability as it applies to geometric shapes and objects.


What is the greatest common multiple of 29 and 23?

The greatest common multiple of any set of integers is infinite.