write a sequence that models the situation. explain how you know if this sequence is arithmetic or geometric?
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The sequence is geometric because we multiply by the same number each time to get the next term. In this case, we multiply by 1/2 = 0.5 to get the next term.
first term = 64
second term = 0.5*(first term) = 0.5*64 = 32
third term = 0.5*(second term) = 0.5*32 = 16
fourth term = 0.5*(third term) = 0.5*16 = 8
and so on
The sequence of values would be
64, 32, 16, 8, 4, 2, 1
Since we're talking about a number of teams, it doesn't make sense to keep going after 1 (since we can't have half a team).