Question: Arithmetic sequences and series 1.A week after a heart surgery, a patient is given an exercise regimen to walk every day, starting with 10 minutes

Arithmetic sequences and series

1.A week after a heart surgery, a patient is given an exercise regimen to walk every day, starting with 10 minutes on the first day, and adding 3 minutes each day.

a) Write down the lengths of time that the patient would walk each day for the first six days.

Day 1:_____ min. Day 2: ______ min. Day 3: ______ min.

Day 4: _____ min. Day 5: ______ min. Day 6: ______ min.

b) Find a formula for the number of minutes the patient would walk on day n after starting his post- surgery walking regimen.

c) How many minutes would the patient walk on the 30th day after starting his walking regimen?

d) Find the total number of minutes that the patient would have walked over the first 30 days after starting his walking regimen.

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