answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

โˆ™ 2017-04-22 19:56:35
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards
3.71
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
364 Reviews

Add your answer:

Earn +20 pts
Q: How can you tell if a infinite geometric series has a sum or not?
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.


What is the sum of the infinite geometric series?

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


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

your face thermlscghe eugbcrubah


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

Eight. (8)


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

-20


What is a partial sums?

Partial sum is a sum of part of the infinite series. However, series is called a sum of all the terms in infinite series. Hence partial sum is a finite series.


What is the assembly program to generate a geometric series and compute its sum The inputs are the base root and the length of the series The outputs are the series elements and their sum?

What is the assembly program to generate a geometric series and compute its sum The inputs are the base root and the length of the series The outputs are the series elements and their sum?


Math problem help Find the sum of the infinite geometric series if it exists 1296 plus 432 plus 144 plus?

1,944 = 1296 x 1.5


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.


How do you find the nth partial sum?

The Nth partial sum is the sum of the first n terms in an infinite series.


Does a sum of infinite ones equal a sum of infinite twos?

Yes, the sum of infinite ones equal the sum of infinite twos.


In math what does e stand for?

"e" is known as EULER'S NUMBER."e" is the sum of an infinite geometric series = 1 + 1/1! + 1/2! + 1/3! + 1/4! ........ = approx 2.7182818284590452353603


Is the infinite sum of continuous function continuous?

An infinite sum of continuous functions does not have to be continuous. For example, you should be able to construct a Fourier series that converges to a discontinuous function.


Is the sum of two geometric sequence a geometric sequence?

No.


Find the sum of the series in c language ie1 3 5 7?

The sum of every odd number is infinite.


A geometric series has first term 4 and its sum to infinity is 5 Find the common ratio?

1/8


What does E stand for on a math gcse paper?

"e" is known as EULER'S NUMBER."e" is the sum of an infinite geometric series = 1 + 1/1! + 1/2! + 1/3! + 1/4! ........ = approx 2.718Read more: In_math_what_does_e_stand_for


Math problem help find the sum of the infinite geometric series if it exists 80 plus 40 plus 20?

160... I think. The series is 80+40+20+10+5+2.5+............ (Given the series is infinite it never ends but it gets pretty close to 160) = 159.99999999... ad infinitum [For future reference... series like this are basically equal to 2*the highest value e.g. 2*80=160]


What is the sum of the infinite series-112 plus 28 plus 7 plus 1.75 plus?

-75.25


The sum to three terms of geometric series is 9 and its sum to infinity is 8. What could you deduce about the common ratio. Why. Find the first term and common ratio?

The geometric sequence with three terms with a sum of nine and the sum to infinity of 8 is -9,-18, and 36. The first term is -9 and the common ratio is -2.


What is the sum of all natural numbers?

The sum is infinite


How do arithmetic and geometric sequences compare to continuous functions?

an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.


Why is this distribution referred to as a geometric distribution?

The geometric distribution is: Pr(X=k) = (1-p)k-1p for k = 1, 2 , 3 ... A geometric series is a+ ar+ ar2, ... or ar+ ar2, ... Now the sum of all probability values of k = Pr(X=1) + Pr(X = 2) + Pr(X = 3) ... = p + p2+p3 ... is a geometric series with a = 1 and the value 1 subtracted from the series. See related links.


What is the difference between a convergent and divergent series?

Those terms are both used to describe different kinds of infinite series. As it turns out, somewhat counter-intuitively, you can add up an infinitely long series of numbers and sometimes get a finite sum. And example of this is the sum of one over n2 where n stands for the counting numbers from 1 to infinity. It converges to a finite sum, and is therefore a convergent series. The sum of one over n is a divergent series, because the sum is infinity.


What is the proof of a finite geometric sum?

Your question is ill-posed. Is there a particular formula (e.g., \sum_{i=0}^{n-1} a r^i = a(1-r^n)/(1-r)) that you're trying to prove? If so, this page may be some help: http://www.mathalino.com/reviewer/derivation-of-formulas/sum-of-finite-and-infinite-geometric-progression