Determining The General Term Of A Recursion Expression; Calculating The Sum Of A Sequence; Graphing A Recursion - Casio fx-CP400 User Manual

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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
= ( ).
0602
To determine the general term of the recursion expression
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 -th term of a recursion formula
initial conditions

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
2 s
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
0605
To input the expression
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 ).
= 1
1
= 2
+ 1,
= 1, create a number table, and graph the values in the table
+1
1

=
− 1,
= 0.5 and draw a cobweb diagram
+1
1

=
+ 2,
+1
1
= 3
– 1 with the
+1
2
E =
+ 2 – 1 in the range of
Chapter 6: Sequence Application
= 1
127

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