Casio 3.04 S About rSolve, SClassPad Operation, Determining the General Term of a Recursion Expression

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Recursive and Explicit Form of a Sequence

Determining the General Term of a Recursion Expression

The following procedure converts the sequence expressed by a recursion expression to the general term format an = f (n).

Example: To determine the general term of the recursion expression an+1 = an + 2, a1 = 1

SClassPad Operation

(1) Start up the Sequence Editor.

• If you have another application running, tap /and then .

• If you have the Sequence application running, tap			and then [Sequence Editor].
(2) Tap (or press)	, [Sequence RUN], [Calc], [rSolve], [n,an], [an+1], , [n,an], [an], ,
, , [a0,a1], [a1], ,		, and then .

(3) Press .

S About rSolve

The rSolve function returns the explicit formula of a sequence that is defined in relation to one or two previous terms, or a system of recursive formulas.

Syntax: rSolve (Eq, initial condition-1[, initial condition-2] [ ) ]

rSolve ({Eq-1, Eq-2}, {initial condition-1, initial condition-2} [ ) ] (Eq: Equation)

Example: To obtain the n-th term of a recursion formula an+1 = 3an–1 with the initial conditions a1=1

Example: To obtain the n-th term of a recursion formula an+2 – 4an+1 + 4an = 0 with the initial conditions a1 =1, a2 = 3

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