Talk:Geometric sequence/Draft: Difference between revisions

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imported>Peter Schmitt
imported>Boris Tsirelson
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:: Right. But what is meant by 0,0,1 ? --[[User:Peter Schmitt|Peter Schmitt]] 16:52, 11 May 2010 (UTC)
:: Right. But what is meant by 0,0,1 ? --[[User:Peter Schmitt|Peter Schmitt]] 16:52, 11 May 2010 (UTC)
:::Just a finite sequence, of length 3, whose first element is 0, second 0, and third 1. (You may think of a possible definition <math>a_{i-1}a_{i+1}=a_i^2</math>, but I did not say I want it to be in the article; I stay neutral; I only want ''some'' definition; and in fact, I feel already satisfied.) [[User:Boris Tsirelson|Boris Tsirelson]] 17:34, 11 May 2010 (UTC)


== What about q? ==
== What about q? ==

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 Definition In elementary mathematics, a (finite or infinite) sequence of numbers such that the quotient of consecutive elements is constant. [d] [e]
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Cannot resist

The term still reminds me of the order in which students entered the room for geometry class; I was generally last. --Howard C. Berkowitz 21:44, 9 January 2010 (UTC)

What about zero?

It is unclear for now, whether the following sequences are geometric or not:

Boris Tsirelson 10:10, 10 May 2010 (UTC)

Right. But what is meant by 0,0,1 ? --Peter Schmitt 16:52, 11 May 2010 (UTC)
Just a finite sequence, of length 3, whose first element is 0, second 0, and third 1. (You may think of a possible definition , but I did not say I want it to be in the article; I stay neutral; I only want some definition; and in fact, I feel already satisfied.) Boris Tsirelson 17:34, 11 May 2010 (UTC)

What about q?

"...is called geometric sequence if

for all indices i." — I'd add, "and some number q (not dependent on i)." Boris Tsirelson 10:16, 10 May 2010 (UTC)

Right. Done. --Peter Schmitt 16:53, 11 May 2010 (UTC)

More examples

An example of an infinite increasing sequence could be added. Also a constant sequence. Boris Tsirelson 10:20, 10 May 2010 (UTC)

I have added 3 more ( and 0,0,0 ). --Peter Schmitt 16:54, 11 May 2010 (UTC)