Talk:Geometric sequence/Draft: Difference between revisions

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imported>Peter Schmitt
imported>Peter Schmitt
(→‎What about q?: indeed, that is better)
Line 20: Line 20:
: <math> { a_{i+1} \over a_i } = q </math>
: <math> { a_{i+1} \over a_i } = q </math>
for all indices ''i''." — I'd add, "and some number ''q'' (not dependent on ''i'')." [[User:Boris Tsirelson|Boris Tsirelson]] 10:16, 10 May 2010 (UTC)
for all indices ''i''." — I'd add, "and some number ''q'' (not dependent on ''i'')." [[User:Boris Tsirelson|Boris Tsirelson]] 10:16, 10 May 2010 (UTC)
: Right. Done. --[[User:Peter Schmitt|Peter Schmitt]] 16:53, 11 May 2010 (UTC)


== More examples ==
== More examples ==


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

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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)

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)