Casio fx-9750G PLUS User Manual
Chapter
Recursion Table and
Graph
You can input two formulas for any of the three following types of
recursion, which you can then use to generate a table and draw
graphs.
•General term of sequence {an}, made up of an and n
• Formulas for linear recursion between two terms, made up of
an+1, an, and n
• Formulas for linear recursion between three terms, made up of
an+2, an+1, an, and n
16
16-1 Before Using the Recursion Table and Graph Function
16-2 Inputting a Recursion Formula and Generating a Table
16-3 Editing Tables and Drawing Graphs
16-1 Before Using the Recursion Table and
Graph Function
uu
uTo enter the RECUR Mode
uu
On the Main Menu, select the RECUR icon and enter the RECUR Mode. This
causes the Recursion Menu to appear.
CFX
fx-9750G
PLUS
Selected storage area
Press f and c to move.
•All recursion formulas that are stored in memory appear in the Recursion
Menu.
• {SEL+C} ... {menus for control of table generation and graph color}
• {SEL} ... {recursion formula generation/non-generation status}
• {DEL} ... {recursion formula delete}
• {TYPE} ... {recursion formula type specification}
• {n, an
• {RANG} ... {screen for setting of table range}
• {TABL} ... {recursion formula table generation}
uu
uTo specify the recursion formula type
uu
Before inputting a recursion formula, you must first specify its type.
1. In the Recursion Menu, press 3 (TYPE).
} ... {menu for input of variable n and general terms an and bn}
···
218
•In this display, “an = An + B” is the general term (an = A × n + B) of {an}.
2. Press the function key for the recursion formula type you want to set.
•{an}/{an+1}/{an+2} ... {general term of sequence {an}}/{linear recursion between two
terms}/{linear recursion between three terms}
16-2 Inputting a Recursion Formula and
Generating a Table
P. 225
Example 1 To input an+1 = 2an + 1 and generate a table of values as the
1. Specify the recursion formula type as linear recursion between two terms and
then input the formula.
2. Press w5 (RANG) to display the table range setting screen, which contains
the following items.
•{a0}/{a1} ... setting of value for {a0(b0)}/{a1(b1)}
The table range settings specify the conditions that control the value of variable n
in the recursion formula, and the initial term of the numeric value table. You should
also specify a starting point for the pointer when drawing a convergence/divergence graph (WEB graph) for a formula for linear recursion between two terms.
Start ................ Starting value of variable n
End ................. Ending value of variable n
a
value of n change from 1 to 6
Make a1 = 1.
c4(n, an
0, b0 ............... Value of 0th term a0/b0 (a1, b1 .... Value of 1st term a1/b1)
) 2(an) +b
···
anStr, bnStr ...... Pointer starting point for convergence/divergence graph
(WEB graph)
• The value of variable n increments by 1.
3. Specify the range of the table.
2(a1)
bwgwbw
4. Display the table of the recursion formula. At this time, a menu of table
functions appears at the bottom of the screen.
J6(TABL)
Currently selected cell (up to six digits)
Value in currently highlighted cell
219
16 - 2 Inputting a Recursion Formula and Generating a Table
•Displayed cell values show positive integers up to six digits, and negative
integers up to five digits (one digit used for negative sign). Exponential display
can use up to three significant digits.
•You can see the entire value assigned to a cell by using the cursor keys to
move the highlighting to the cell whose value you want to view.
P. 7
•You can also display the sums of the terms (Σan or Σbn) by turning on Σ Display.
Example 2 To input an+2 = an+1 + an (Fibonacci series) and generate a table
1. Specify the recursion formula type as linear recursion between three terms and
then input the formula.
2. Press w and then press 5 (RANG) to display the table range setting
screen, which contains the following items.
• {a0}/{a1} ... setting of value for {a0 (b0) and a1 (b1)}/{a1 (b1) and a2 (b2)}
The table range settings specify the conditions that control the value of variable n
in the recursion formula, and the initial term of the numeric value table.
Start ................ Starting value of variable n
End ................. Ending value of variable n
of values as the value of n change from 1 to 6
Make a1 = 1 and a2 = 1.
3(TYPE)3(an+2) 4(n, an
3(an+1)+2(an)
)
···
a0, a1, a2 .......... Values of 0th term a0/b0, 1st term a1/b1, and 2nd term a2/b2.
• The value of variable n increments by 1.
3. Specify the range of the table.
2(a1)
bwgwbwbw
220
Loading...