In American football, a team can score in the following ways: 2 points for safety, 3 points for a field goal, 6 points for a tou
chdown with no conversion, 7 points for touchdown with a 1 point conversion, and 8 points for a touchdown with a 2 point conversion. How many different ways can a team score a total of exactly 24 points?
1 answer:
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We can write the sequence out more fully, as we can see each time it is divided by 6.
60, 60/6, 60/6^2, 60/6^3, and so on.
Therefore we know the sequence can be written as
You can think of this as a graph, i.e. y=60/6^(x-1)
As a result, as x tends to infinity, y tends to 0 (since it effectively becomes 60/infinity). Therefore the sequence converges toward zero.
60, 60/6, 60/6^2, 60/6^3, and so on.
Therefore we know the sequence can be written as
You can think of this as a graph, i.e. y=60/6^(x-1)
As a result, as x tends to infinity, y tends to 0 (since it effectively becomes 60/infinity). Therefore the sequence converges toward zero.