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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.
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Is a divergent infinite series to the power of 2 also a divergent series?
Not necessarily, and I'll give you an example. The harmonic series, Σ∞n=1 (1/n), is divergent. However, if you square (1/n) and use the result in the above series; i.e. Σ∞n=1 (1/n2), which is the p-series for p = 2, the result is that the series converges, and so therefore, by definition, is not divergent.
What is the difference between a single trade discount and trade discount series?
What is the difference between a single trade discount and trade discount series? In: http://wiki.answers.com/Q/FAQ/2547-72 [Edit categories]
What is the Different between a single trade discount versus a discount series?
Describe the difference between a single trade discount versus and discount series and give an example
What is the DIFFERENCE between replication and repetition?
The difference between between replication and replication is that replication is the series of copies, and repetition is the series of repeats.
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 the difference between a convergent and divergent series and how can you tell which is which?
A convergent series runs to the X axis and gets as close as you like; close enough, fast enough to take an area under the curve. 1/X2 as simplified example, sans series paraphernalia A divergent series does not approach the X axis close enough or fast enough to converge adequately on the axis. 1/X
Is it true when a sequence is divergent then its subsequences are divergent explain?
Not always true. Eg the divergent series 1,0,2,0,3,0,4,... has both convergent and divergent sub-sequences.
What is the difference between the N series and C series nokia mobile phones?
what is the difference between N series and C series in nokia mobile phones
What is the difference between series and parralal circuit?
difference between series is one pathway through circuit,difference between parralal is more then one pathway through circuit.
Is a divergent infinite series to the power of 2 also a divergent series?
Not necessarily, and I'll give you an example. The harmonic series, Σ∞n=1 (1/n), is divergent. However, if you square (1/n) and use the result in the above series; i.e. Σ∞n=1 (1/n2), which is the p-series for p = 2, the result is that the series converges, and so therefore, by definition, is not divergent.
Expalain the difference between cyclical and seasonal variations in a data series?
Expalain the difference between cyclical and seasonal variations in a data series?
What is the difference between Lenovo t series and Lenovo s series?
The difference between the Lenovo T series and the Lenovo S series is the type of laptop. The Lenovo S series is a laptop, while the Levnovo T series is a tablet.
What is the common difference?
The difference between each number in an arithmetic series
What is the difference between the D series and the X series lawn tractor?
your name
What is the difference between a Toshiba L and A series laptop?
Not much difference between them feature are almost similar
What are good books that are like the book Divergent?
If you like the Dystopian feel of it then you will probably like The Hunger games series, The Maze Runner series and maybe the Mortal Instruments series
Which book in the Divergent series is Jeanine Matthews killed?
Book 1, Divergent
