Applications and problem solving with sequences. Also, graphing sequences on the graphing calculator.

1. Sequences are everywhere ...
Photo source: Stone throw sequence

2. Once we know the pattern of a sequence, we can find any term of the
sequence. Use your calculator to check your answers.
Find the 110th term of: 5, 8, 11, 14, ...
Find the 21st term of: 3, 6, 12, 24, ...
Find the 27th term of: 1, 1, 2, 3, 5, 8, ...

3. Which term in the sequence: 2, 5, 11, 23, 47, ... is 1535?

4. My cat is sick. His name is Little John and he has a cold. The vet has given
him some medicine. Each day he gets a pill with 35 mg of medicine. His
body eliminates 25% of the medicine each day and then he gets another pill.
(a) How much medicine will be in his body in 5 days?
(b) Will the amount of medicine in his body stabilize? How many days will it
take and how much medicine will be in his body?