Let n be the number points scored by a team in a football game. What are the possible values of n, assuming that the game will last long enough for these n points to be scored? Use strong induction to prove your answer. Hint: Whenever the team scores, they will score 2,3,6,7 or 8 points.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.