Suppose are in Arithmetic Progression. It is given that and . Determine the progression.
Answer:Spoiler:
I was unable to do it. Any ideas?
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 .