Talk:Geometric sequence/Draft: Difference between revisions

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imported>Boris Tsirelson
(→‎What about zero?: new section)
imported>Boris Tsirelson
(→‎What about q?: new section)
Line 12: Line 12:
:<math> 0, 0, 1</math>
:<math> 0, 0, 1</math>
[[User:Boris Tsirelson|Boris Tsirelson]] 10:10, 10 May 2010 (UTC)
[[User:Boris Tsirelson|Boris Tsirelson]] 10:10, 10 May 2010 (UTC)
== What about q? ==
"...is called geometric sequence if
: <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)

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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)

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)