| MATH 202 | SPRING 2002 |
Here are some examples showing how to graph the partial sums of a power series the TI-83 Plus, the TI-85, and the TI-89. We will plot the 3rd, 6th, 9th, and 12th partial sums of the power series
![]()
As you can check, the interval of convergence for this series is [-1, 5). We'll have our plotting window go from x=-2 to x=6, so that we can see what happens when we reach the ends of the interval of convergence.
Click on the appropriate link to jump to the example using the TI-83 Plus, the TI-85, or the TI-89.
1. We use the arrow keys to move the cursor to the point after Y2= on the Y= page. 2. We type [2nd][RCL]. The symbol Rcl appears at the bottom of the screen. 3. We type [VARS] to bring up the VARS screen, then use the right-arrow key to highlight Y-VARS. We press [ENTER] to select Function and then [ENTER] again to select Y1. 4. This puts us back on the Y= screen, with the symbol Rcl Y1 at the bottom of the screen. We press [ENTER] once again. The formula for Y1 magically appears as the definition of Y2 ![]()
5. We use the arrow keys and the [DEL] and [2nd][INS] keys as necessary to change the 3 in the definition of Y2 to a 6. ![]()
6. We use the arrow keys to move the cursor to the point after Y3=, and repeat steps 2 through 5, this time changing the 3 to a 9. 7. We use the arrow keys to move the cursor to the point after Y4=, and repeat steps 2 through 5, this time changing the 3 to a 12. Once we've defined all four functions, we press [GRAPH] again and watch patiently while the calculator draws all four curves.
![]()
A useful tip: While the calculator is graphing a function, it won't respond to any keyboard input. If the drawing takes too long, you can interrupt it (and regain control of the calculator) by pressing the [ON] key.
1. We press the down-arrow key to bring up the y2= cursor. 2. We type [2nd][RCL]. The symbol Rcl appears at the bottom of the screen. 3. We type [F2] to select y and then [ALPHA] (to cancel alphabetic mode) and [1]. The bottom of the screen now says Rcl y1. We press [ENTER]. The y1 formula now appears after y2=. ![]()
4. We use the right- and left-arrow keys, along with [2nd][INS] and [DEL] (as necessary) to change the 3 in the formula for y2 to a 6. (Some of the formula will be scrolled off the edge of the screen; use the arrow keys to get there.) 5. We press the down-arrow key to bring up the y3= prompt, and repeat steps 2 through 4, this time changing the 3 to a 9. 6. We use the down-arrow keys to bring up the y4= and repeat steps 2 through 4, this time changing the 3 to a 12. Once we've defined all four functions, we press [GRAPH][F5] (to select the GRAPH option), and watch patiently while the calculator draws all four curves.
![]()
A useful tip: While the calculator is graphing a function, it won't respond to any keyboard input. If the drawing takes too long, you can interrupt it (and regain control of the calculator) by pressing the [ON] key.