Do there exist three integers in Arithmetic Progression whose product is prime ?
If Yes, then what are the three integers and if No, then why ?
[Note: The numbers: x1, x2, x3, x4, x5, x6,........ are said to be in Arithmetic Progression if (x2 - x1) = (x3 - x2) = (x4 - x3) = (x5 - x4) = ........ and so on].
(In reply to
perhaps by Alan)
An arithmetic progression, specifically, is a sequence of the form: a, a+b, a+2b, a+3b, ...
A sequence of the form a, ab, ab², ab³, ... (like your 1, 1², 1³, ...) is not an arithmetic progression, it is a geometric progression
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Posted by TomM
on 2003-06-02 16:17:57 |