There were 16 teams in a volleyball league. Each team played exactly one game against each other team. For each game, the winning team got 1 point and the losing team got 0 points. There were no draws. After all games, the team scores form a sequence in which any consecutive terms have the same difference. How many points did the team in the second last place receive?

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  1. Each team played 15 games.
    If no two teams have the same score, their scores must have ranged from
    0-14 or 1-15
    So the 2nd-last place got either 1 or 2 points.

    So, now you just have to decide: which is it? How many total games were played? There were that many total points scored. Which set of scores is the one you want?

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