Determining The General Term Of A Recursion Expression - Casio ClassPad 330 User Manual

Determining the General Term of a Recursion Expression

The following procedure converts the sequence expressed by a recursion expression to the
general term format
Example: To determine the general term of the recursion expression
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 (or press) O, [Sequence RUN], [Calc], [rSolve], [
a
2, ,, [
0
(3) Press E.
u 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
conditions
Example: To obtain the
initial conditions
Recursive and Explicit Form of a Sequence
a f n
n = ( ).
a a
], =, 1, and then ).
, ], [
1 1
n
-th term of a recursion formula
a
=1
1
n
-th term of a recursion formula
a a
=1, = 3
1 2
6-3-5
n a
,
n
a
n+ = 3
1
a
n+ – 4
2
20060301
a a a
n+ = n + 2,
1 1
a n a a
], =, [ ], +,
], [ , ], [
n+ n n
1
a
n –1 with the initial
a a
n+ + 4 n = 0 with the
1
= 1