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Condition for an infinite geometric series with common ratio to be convergent?
Wiki User
∙ 10y ago
The absolute value of the common ratio is less than 1.
Wiki User
∙ 10y ago
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What is the pattern for a half a quarter and an eighth?
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 Geometric Series represent?
A geometric series represents the partial sums of a geometric sequence. The nth term in a geometric series with first term a and common ratio r is:T(n) = a(1 - r^n)/(1 - r)
How do you determine if a sequence is geometric?
A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio). 2,4,8,16, --> here the common ratio is 2.
What are the Common multiples of 21 and 18?
there are infinite amount of common multiples.
Can the exact value of PI be calculated?
"Not as a decimal or fraction as there are an infinite number of digits." This is a common and useful answer. The *correct* answer is that PI is firstly an irrational number that cannot be calculated from any ratio (fraction). Secondly, PI is a transcendental number that, by the definition of "transcendental", cannot be exactly calculated. The nest you can do is to apply an infinite convergent series that becomes more and more accurate with more and more decimal places.
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?
Eight. (8)
What is the pattern for a half a quarter and an eighth?
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?
The summation of a geometric series to infinity is equal to a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.
Are volcanoes more common along a convergent or divergent boundary?
Volcanoes are more common along convergent boundaries
Which event is the most common at oceanic-continental convergent boundaries?
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
Volcanism is common at convergent and divergent boundaries of?
.....tectonic plates
