beautypg.com

1 recursive and explicit form of a sequence, Recursive and explicit form of a sequence, Generating a number table – Casio ClassPad II fx-CP400 User Manual

Page 126

background image

Chapter 6: Sequence Application

  126

Buttons common to multiple windows

• Create an ordered pair table (Editor/Graph/RUN) ......................................................................................#

• Create a sequence table with column(s) that determine if a sequence

is an arithmetic sequence, geometric sequence, progression of
difference, or Fibonacci sequence (Editor/Graph/RUN) ..........................

) (arithmetic), _ (geometric),

+ (progression of difference), ` (Fibonacci)

• Display the Sequence Table Input dialog box (Editor/Table/Graph/RUN) ..................................................8

• Draw a cobweb diagram on a graph (Editor/Table) ....................................................................................

w

• Display the Sequence RUN window (Editor/Table/Graph) .........................................................................`

• Display the Sequence Editor window (Table/Graph/RUN) .........................................................................&

6-1

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 an ordered pair table, you can create a sequence table with column(s). This helps you determine if
the sequence is an arithmetic sequence, geometric sequence, progression of difference, or Fibonacci sequence.

3 = 2 + 1

3 = 7 − 4

Fibonacci Sequence Table

Ordered Pair Table

Arithmetic Sequence Table

3 = 18 ÷ 6

5 = 8 − 3

2 = 20 ÷ 10

Geometric Sequence Table

Progression of Difference Table

0601

To create a number table (Fibonacci sequence table) to check the Fibonacci sequence expressed by

the recursion formula

a

n

+2

=

a

n

+1

+

a

n

,

a

1

= 1,

a

2

= 1