6. Sequence

The Sequence calculation provides you with the tools you need to work with explicit sequences and recursive type sequences.

6-1. Sequence Calculation Basic Operations

The examples below explain basic operations using the Sequence calculation.
Example: To input the expression \( a_{n+1} \) = 0.5\( a_{n} \), \( a_{0} \) = 1, create a number table, and graph the values in the table

1. Click anywhere on the Paper to display the Sticky Note menu.

2. Click to display a Sequence Sticky Note and the soft keyboard.

3. Input the recursion expression \( a_{n+1} \) = 0.5\( a_{n} \) and the initial values \( a_{0} \) = 1.

4. On the soft keyboard, click [Execute].

・This displays the sequence table.

5. Click to display a graph.

6-2. Changing the Sequence Calculation Type

1. Click the Sequence Sticky Note.

2. Click the Menu button ().

3. Select one of the sequence calculation types below.

  • Recursive - \( a_{n+1} \) Type \( a_{0} \)
  • Recursive - \( a_{n+1} \) Type \( a_{1} \)
  • Recursive - \( a_{n+2} \) Type \( a_{0} \), \( a_{1} \)
  • Recursive - \( a_{n+2} \) Type \( a_{1} \), \( a_{2} \)
  • Explicit

Note

  • When there are multiple Sequence Sticky Notes, they are retained even if the sequence calculation type is changed.
  • The values of the following variables are retained even if the sequence calculation type is changed: \( a_{n+2} \), \( a_{n+1} \), \( a_{n} \)E, \( a_{0} \), \( a_{1} \), \( a_{2} \)。

6-3. Performing Multiple Sequence Calculations

6-3-1. To input multiple equations

1. Click an existing Sequence Sticky Note to select it.

2. At the bottom of the Sequence Sticky Note, click .

• This adds a new Sequence Sticky Note.

3. Use the soft keyboard to input an equation.

• This adds a numeric sequence to the sequence table.

4. Click to overwrite with the new graph.

Note

  • You can add up to three Sequence Sticky Notes.
  • When there are multiple Sequence Sticky Notes, they can be rearranged as required.
  • Multiple Sticky Notes cannot be separated.

6-3-2. To delete a particular equation

1. Click the Sequence Sticky Note to select it.

2. Click the Delete button () of the equation you want to delete.

• This deletes the selected equation.

6-4. Configuring Sequence Table Settings

6-4-1. To hide a particular sequence table

1. Click on the Sequence Sticky Note of the sequence table you want to hide.

・ This hides the sequence table of the equation you selected.

・To re-display the sequence table, click again.

6-4-2. To configure the display settings of a sequence table

1. Click the sequence table's Menu () button.

2. Configure display settings and adjust the display range.

  • Range: Specify the start value and end value of variable n.
  • Type: Specify the type of item to be displayed.
    • Recursion Explicit
      Σdisplay On Off On Off
      Ordered Pair n, an, Σan n, an n, anE, ΣanE n, anE
      Arithmetic Sequence n, an, Σan, Dfrn n, an, Dfrn n, anE, ΣanE, Dfrn n, anE, Dfrn
      Geometric Sequence n, an, Σan, Quot n, an, Quot n, anE, ΣanE, Quot n, anE, Quot
      Progression of Difference n, an, Σan, Dfrn, Quot n, an, Dfrn, Quot n, anE, ΣanE, Dfrn, Quot n, anE, Dfrn, Quot
      Fibonacci Sequence n, an, Σan, Sum n, an, Sum n, anE, ΣanE, Sum n, anE, Sum
  • Σdisplay: Turn display of sequence table subtotals on or off.

6-5. Configuring Graph Settings

6-5-1. Changing the color of a Graph

1. Click the drag handle () of the Sequence Sticky Note.

2. On the Color Palette, select the desired color to change the graph color.

6-5-2. To change the graph drawing type

1. Click the drag handle () of the Sequence Sticky Note.

2. You can select one of the graph drawing types below.

Connect ... Connects points with a line.

Plot ... Plots points without connecting them.

6-5-3. To hide the graph of a particular equation

1. Click the drag handle () of the Sequence Sticky Note whose graph you want to hide.

2. Click [Hide].

・This hides the graph of the selected equation.

・To re-display the graph, click [Show].

6-5-4. To configure graph display settings

1. Click the graph's Menu () button.

2. Configure display settings and adjust the display range.

  • Axes: Select this check box to show the coordinate axes on the graph.
    Numbered: Select this check box to show the coordinate axes and tick marks on the graph.
    Grid: Select this check box to show a grid in the draw area.
    Labels: Select this check box to show coordinate axis names on the graph. You can change an axis name if you want.
    Window:
    X: Specifies the display range of the x-axis.
    X Scale: Specifies interval between tick marks on the x-axis.
    Y: Specifies the display range of the y-axis.
    Y Scale: Specifies interval between tick marks on the y-axis.
    Coordinates: Configures the coordinate value display setting.
    Type: Specifies the data to be plotted.
    • \( a_{n} \) : Plots an values.
      Σ\( a_{n} \) : Plots Σ\( a_{n} \) values.