6-3-1

Recursive and Explicit Form of a Sequence

6-3 Recursive and Explicit Form of a Sequence

ClassPad supports use of three types of sequence expressions: an+1=, an+2= and anE.

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 an+2 = an+1 + an, a1 = 1, a2 = 1

u ClassPad Operation

(1)Start up the Sequence Editor.

•If you have another application running, tap mand then H.

•If you have the Sequence application running, tap Oand then [Sequence Editor].

(2)Tap the [Recursive] tab.

(3)Specify the recursion type by tapping [Type] and then [an+2Type a1,a2].

(4)Input the recursion expression.

•Tap the input box to the right of an+2:, and then use the procedures under “6-2 Inputting an Expression in the Sequence Application” to input the following. [n,an] [an+1] +[n,an] [an] 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].

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