Question

write a sequence that models the situation. explain how you know if this sequence is arithmetic or geometric?

Answer 1

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).