# Display Sequences in a Table on the TI-83 Plus

After you’ve entered the sequence functions into the TI-83 Plus graphing calculator, you can have the calculator create a table of the terms in the sequences. To create a table, follow these steps:

Highlight the equals sign of those sequences in the Y= editor that you want to appear in the table.

Only those sequences in the Y= editor that are defined with a highlighted equal sign will appear in the table. To highlight or un-highlight an equal sign, press

**[Y=]**, use thekeys to place the cursor on the equal sign in the definition of the sequence, and then press

**[ENTER]**to toggle the equal sign between highlighted and un-highlighted.Press [2nd][WINDOW] to access the Table Setup editor.

Enter a number in TblStart and then press [ENTER].

**TblStart**is the first value of the independent variable*n*to appear in the table. Here,**TblStart**is assigned the value 1.To enter the number you’ve chosen for

**TblStart**, place the cursor on the number appearing after the equal sign, press the number keys to enter your number, and then press**[ENTER]**.Enter a number in

**and then press [ENTER].**gives the increment for the independent variable

*n*. For example, if**TblStart**= 1 and= 5, then the table for sequence u(

*n*) will contain the values of u(1), u(6), u(11), and so on.To enter the number you have chosen, place the cursor on the number appearing after the equal sign, press the number keys to enter your number, and then press

**[ENTER]**.Set the mode for Indpnt and Depend.

To change the mode of either

**Indpnt**or**Depend**, use thekeys to place the cursor on the desired mode, either

**Auto**or**Ask**, and then press**[ENTER]**.To have the calculator automatically generate the table for you, put both

**Indpnt**and**Depend**in**Auto**mode.If you want to create a user-defined table in which you specify which values of the independent variable

*n*are to appear in the table and then have the calculator figure out the corresponding sequence values for you, put**Indpnt**in**Ask**mode and**Depend**in**Auto**mode.The other combinations of mode settings for

**Indpnt**and**Depend**are rather useless when you’re dealing with sequences.Press [2nd][GRAPH] to display the table.

When you display the table,

**Indpnt**and**Depend**in Step 5. And what you can do with the table also depends on these modes.

If it’s taking the calculator a long time to evaluate an entry in a user-defined table and this inspires you to terminate the process by pressing **[ALPHA]**, be warned — you will then have to clear the table and start over from scratch. Here’s why: After pressing **[ALPHA]**, you are confronted with an error message that asks you if you want to **Quit** or **Goto**.

It would be nice if **Goto **sent you back to the table so** **you could edit your entry, but it doesn’t; instead, it sends you to the definition of the sequence. So no matter which choice you make (**Quit **or **Goto**), the only way back to the table is by pressing [2nd][GRAPH].

But the entry that caused the problem in the first place is still in the table. So the calculator starts evaluating it all over again before displaying the table. This is indeed a vicious cycle! The only way out is to clear the table and start over.