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Sequences are everywhere ...




                        Photo source: Stone throw sequence
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, ...
Which term in the sequence: 2, 5, 11, 23, 47, ... is 1535?
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?

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Applied Math 40S Slides May 31, 2007

  • 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?