Sequences

Today we received a hand out and talked about sequences. We went over the whole sheet that consisted of two medium sized questions. The basic settings you should know for this unit and what Mr. Bennet would like to see on YOUR cheat sheet is shown below.
Window settings: (example)

Min: 01 =# of terms
Max: 50 = "

plot: 1 = ( Ignore )
plot step: 1

Xmin: 01 =same as above # of terms
Xmax: 50 = "

Xscl: 01 -----> ALWAYS 1

Ymin: =actual values in the sequence
Ymax: = "

An example of one of the questions that we did together in class is shown below.
2. Jasmine broke her collarbone in a bicycle accident. Her doctor's prescription contains the following information:

Each pill contains 240mg of medicine
Jasmine must take two pills every 12 hours. This represents one dose.
She must take all 32 Pills as prescribed.

A) If Her kidneys eliminate 60% of the medication from her body every 12 hour. How much of the medication is in Jasmine's system immediately after she takes the 6th dose?
Calcuator buttons: [2nd] [Y=]
min= 1
u(n)= u(n-1) *.40+480
u(nmin)= {240}

Calcuator buttons: [2nd][tblset][6]. [[2nd][graph]
6= 796.72

B) sketch a graph for 16 doses.
Calcuator buttons: [Graph] ( you may have to change your window settings)

C) At what level does the mediation stabilize?
(to find this answer open your graph and arrow down until your u(n) stays the same number as the one before it.)

14 doses=800 stabilization number

d) Assuming that Jasmine take all her medication. How many hours would it take for her kidneys to eliminate the medication after her last dose? ( when its below 1mg its considered eliminated)

to solve you take 8*12=46 hours

e)Jasmine visits a second doctor for a different opinion before she starts the medication he informs her that the stabilization must be between 1000mg and 1200mg to eliminate the pain. describe the schedule for taking the medication if the pill that Jasmine is prescribed contains 240mg of medication and her kidneys eliminate 60% of the medication every 12 hours.
( you would solve this question the same as you would solve the first part except change a few numbers)

The answer is it would take three pills.


We also received two questions for homework that we will go over together in class tomorrow.