The number of terms of an Arithmetic Progression is even.
The sum of the terms in the odd places (First term + Third Term + Fifth Term + ...and so on) is 24;
The sum of the terms in the even places (Second Term + Fourth Term + Sixth Term + ... and so on) is 30; and
The last term exceeds the first by 21/2, then:
What is the arithmetic progression?
(In reply to
re: Solution by Ady TZIDON)
I assume you meant (n1)/n = 7/8, which would make the equation correct. And I'm not sure what the "etc" means at the end of your post  the only things you can figure out from those equations are d = 1.5 and n = 8.
In fact, the only thing that you did to make my solution shorter is drop the last equation which tells where the sequence begins (something suspiciously absent from your "shorter" solution). You still have to figure that out somehow.

Posted by tomarken
on 20060323 11:59:40 