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3 recursive and explicit form of a sequence, 3 recursive and explicit form of a sequence -3-1, Generating a number table -3-1 – Casio ClassPad 300 PLUS User Manual

Page 315: Recursive and explicit form of a sequence, Generating a number table, U classpad operation

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20050501

6-3 Recursive and Explicit Form of a Sequence

ClassPad supports use of three types of sequence expressions:

a

n

+

1

=,

a

n

+

2

=

and

a

n

E

.

Generating a Number Table

In addition to ordered pair tables, the Sequence application provides you with the means to
generate arithmetic sequence tables

*

1

, geometric sequence tables

*

2

, progression of

difference tables

*

3

, and Fibonacci sequence tables

*

4

.

*

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

=

a

n

+

1

+

a

n

,

a

1

= 1,

a

2

= 1

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 [

a

n

+

2

Type

a

1

,

a

2

].

(4) Input the recursion expression.

• Tap the input box to the right of

a

n

+

2

:, and then use the procedures under “6-2

Inputting an Expression in the Sequence Application” to input the following.

[

n

,

a

n

] [

a

n

+

1

]

+ [

n

,

a

n

] [

a

n

]

E

(5) Input the initial value.

1E1E

(6) Tap 8.

• This causes the Sequence Table Input dialog box to appear.

(7) Input the

n

-value range as shown below, and then tap [OK].

Start:1

End:5

6-3-1

Recursive and Explicit Form of a Sequence