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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
difference tables
*
3
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
, geometric sequence tables
*
, and Fibonacci sequence tables
a
a
a
a
+
,
= 1,
= 1
n+
n
1
1
2
a
n+
n
a
a
] + [
] E
,
] [
n
n
End:5
6-3-1
*
4
.
a
n+
2
:, and then use the procedures under "6-2
2
20050501
a
a
a
=,
=
E.
and
n+
1
n+
2
n
2
, progression of
*
a
a
Type
,
].
1
2
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