Recursive And Explicit Form Of A Sequence; Generating A Number Table - Casio ClassPad 330 User Manual

6-3 Recursive and Explicit Form of a Sequence

ClassPad supports use of three types of sequence expressions:

Generating a Number Table

In addition to ordered pair tables, the Sequence application provides you with the means
to generate arithmetic sequence tables
3
difference tables *
1
* sequence table for determining if sequence is an arithmetic sequence
2
* sequence table for determining if sequence is a geometric sequence
3
* sequence table for determining if sequence is a progression of difference
4
* sequence table for determining if sequence is a Fibonacci sequence
Example: To create a table (Fibonacci sequence table) for the recursion
a
n+ =
2
u ClassPad Operation
(1) Start up the Sequence Editor.
• If you have another application running, tap m and then H.
• If you have the Sequence application running, tap O and then [Sequence Editor].
(2) Tap the [Recursive] tab.
(3) Specify the recursion type by tapping [Type] and then [
(4) Input the recursion expression.
• Tap the input box to the right of
Inputting an Expression in the Sequence Application" to input the following.
n a a
[ , n ] [ n+
1
(5) Input the initial value.
1E1E
(6) Tap 8 .
• This causes the Sequence Table Input dialog box to appear.
n
(7) Input the -value range as shown below, and then tap [OK].
Start:1
Recursive and Explicit Form of a Sequence
1
*
, and Fibonacci sequence tables
a a a a
n+ + n , = 1, = 1
1 1 2
a
n a a
] + [ ] E
, n ] [ n
End:5
6-3-1
, geometric sequence tables
4
* .
a
n+
n+ :, and then use the procedures under "6-2
2
20060301
a a a
n+ =, n+ = n E.
and
1 2
2
, progression of
*
a a
Type , ].
2 1 2