Casio fxcp400 fxcp400 User Manual

Page of 275
Chapter 6: Sequence Application
  127
Determining the General Term of a Recursion Expression
You can use the rSolve function to convert the sequence expressed by a recursion expression to the general 
term format 
a
n
 = 
f
 (
n
).
 0602 
  To determine the general term of the recursion expression 
a
n
+1
 = 
a
n
 + 2, 
a
1
 = 1
 About rSolve
The rSolve function returns the explicit formula of a sequence that is defined in relation to one or two previous 
terms, or a system of recursive formulas.
Syntax:  rSolve (Eq, initial condition-1[, initial condition-2] [ ) ] 
rSolve ({Eq-1, Eq-2}, {initial condition-1, initial condition-2} [ ) ] (Eq: Equation)
Example:  To obtain the 
n
-th term of a recursion formula 
a
n
+1
 = 3
a
n
 – 1 with the 
initial conditions 
a
1
 = 1
Calculating the Sum of a Sequence
Perform the following steps when you want to determine the sum of a specific range of the sequence of a 
recursion expression or a general term expression.
 0603 
  To calculate the sum of the general term expression 
a
n
E = 
n
2
 + 2
n
 – 1 in the range of 
n
 
s 10
6-2  
Graphing a Recursion
ClassPad lets you graph the values in a number table you create, and draw a cobweb diagram from the 
recursion expression.
 0604 
  To input the expression 
a
n
+1
 = 2
a
n
 + 1, 
a
1
 = 1, create a number table, and graph the values in the table
 0605 
  To input the expression 
a
n
+1
 = 
 − 1, 
a
1
 = 0.5 and draw a cobweb diagram 
About LinkTrace
While the Table and Graph windows are on the 
display, you can activate LinkTrace. To do this, 
tap in the Table window to make it active. Next, 
tap a and then [Link]. While LinkTrace is 
active, the pointer on the Graph window jumps 
automatically to the point indicated by the 
coordinates in the currently selected table cell. 
Note that LinkTrace does not work when the 
selected cell is in the first column (column 
n
).