Consider the sequence 3, 9, 27, 81, 243, 729... Compute the difference between successive terms and enter your answer as a list. (For example, if the sequence were 2, 5, 9, you would enter the comma separated list 3, 4 since 5-2=3 and 9-5=4).
The sequence of successive differences is
, which suggests that the original sequence (is/is not)
?
is
is not
growing linearly.
Consider the sequence 3, 9, 27, 81, 243, 729... Compute the ratio between successive terms and enter your answer as a list. (For example, if the sequence were 2, 5, 9, you would enter the comma separated list 5/2, 9/5).
The sequence of successive ratios is
, which suggests that the original sequence (is/is not)
?
is
is not
growing exponentially.
Find a closed formula for the sequence 3, 9, 27, 81, 243, 729... Use as your index and start with , that is, .
Find a closed formula for the sequence 3, -9, 27, -81, 243, -729... Use as your index and start with , that is, .
You can earn partial credit on this problem.