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Mar 25, 2011 at 21:48 comment added Gerry Myerson @Mark, note it's $n$ numbers in AP, together with one more number not in the AP, so the polynomial of degree (at most) $n$ won't be a straight line.
Mar 25, 2011 at 19:09 comment added Mark Bennet Polynomial of degree at most $n$ - you will get a straight line surely?
Mar 25, 2011 at 5:47 comment added Gerry Myerson Oops.${}{}{}{}$
Mar 25, 2011 at 0:51 comment added Manuel Silva @Gerry: The polynomial degree is fixed. I have changed the original formulation to make it more clear.
Mar 24, 2011 at 23:45 comment added user9072 An edit made this a bit unclear: The original form of the question makes clear that question 2 is meant as unform for for a fixed k.
Mar 24, 2011 at 23:39 history answered Gerry Myerson CC BY-SA 2.5