Suppose are in Arithmetic Progression. It is given that and . Determine the progression.

Answer:Spoiler:

I was unable to do it. Any ideas?

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- May 21st 2009, 11:00 AMfardeen_genDetermine the progression?
Suppose are in Arithmetic Progression. It is given that and . Determine the progression.

Answer:__Spoiler__:

I was unable to do it. Any ideas? - May 21st 2009, 12:11 PMJester
A tour de force. Let the common difference by . So the terms in the sequence are

Substitute in both expressions and expand. Formula's like

will be useful. You should end up with the following:

(note and not )

Eliminate and solve for gives your answer. then use (1) to get .