Our discrete dynamical system (taken from section 1.4, #3) is:
u(n) = 0.7u(n-1) + 3
u(0) = 1
We will make a table of values for u(0), u(5), u(10), etc. in order to eventually calculate u(30) and u(50).
TI-83/TI-84 Instructions:
- Press MODE
- Select Seq instead of Func on the 4th line
- Press Y=
- Enter
- nMin = 0
- u(n) = 0.7u(n-1) + 3 (To enter u, press 2nd-7. To enter n, press the button labeled X,T,theta,n.)
- u(nMin) = {1}
- Press WINDOW
- Enter
- Press 2nd - TBLSET
- Enter
- TblStart = 0
- Delta Tbl = 5
- Indpnt: Auto
- Depend: Auto
- Press 2nd - TABLE
- You should find that u(30) = 9.999797146 and u(50) = 9.999999838. You will need to use the arrows to scroll down to u(50) and you will need to move the cursor over the function value if you want more decimals than the rounded off value shown.
TI-82 Instructions:
- Press MODE
- Select Seq instead of Func on the 4th line
- Press Y=
- Enter
- Un = 0.7Un-1 + 3 (Your calculator uses Un-1 instead of u(n-1). To enter this press 2nd-7.)
- Press WINDOW
- Enter
- Press 2nd - TBLSET
- Enter
- TblMin = 0
- Delta Tbl = 5
- Indpnt: Auto
- Depend: Auto
- Press 2nd - TABLE
- You should find that u(30) = 9.99979714594 and u(50) = 9.99999983814. You will need to use the arrows to scroll down to u(50) and you will need to move the cursor over the function value if you want more decimals than the rounded off value shown.
TI-89 Instructions:
- Press MODE
- Under Graph, select Sequence instead of Function
- Select Y=
- Enter
- u1 = 0.7u1(n-1) + 3
- ui1 = 1
- Press WINDOW
- Enter
- Select TBLSET
- Enter
- tblStart.....0
- Delta tbl....5
- Graph <-> Table: OFF
- Independent....Auto
- Select TABLE
- You should find that u(30) = 9.9997971459374 and u(50) = 9.9999998381382. You will need to use the arrows to scroll down to u(50) and you will need to move the cursor over the function value if you want more decimals than the rounded off value shown.
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