answersLogoWhite

0


Best Answer

Let r be any real number such that |r| < 1 and let a = 6 - 6r.

Then the geometric sequence: a, ar, ar^2, ar^3, ... will converge to 6.


Since the choice of r is arbitrary within the given range, there are infinitely many possible answers.


User Avatar

Wiki User

6y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the infinite geometric series of 6?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the sum of an infinite geometric series is?

It depends on the series.


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.


What is the formula for the sum of an infinite geometric series?

your face thermlscghe eugbcrubah


What is the sum of the infinite geometric series?

The sum of the series a + ar + ar2 + ... is a/(1 - r) for |r| &lt; 1


Determine the sum of the infinite geometric series -27 plus 9 plus -3 plus 1?

-20


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

Eight. (8)


Condition for an infinite geometric series with common ratio to be convergent?

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


What has the author Frederick H Young written?

Frederick H. Young has written: 'Summation of divergent infinite series by arithmetic, geometric, and harmonic means' -- subject(s): Infinite Series 'The nature of mathematics' -- subject(s): Mathematics


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.


What is infinite geometric sequence?

An example of an infinite geometric sequence is 3, 5, 7, 9, ..., the three dots represent that the number goes on forever.


What contains all geometric figures?

The only thing that can contain all geometric figures is the set of all geometric figures, which is an infinite set.


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.