Texas Instruments TINSPIRE Reference Guide - Page 95

depVar, VarMax, VarStep, ListOfInitTerms, matrix, ListOfDepVars, ListOrSystemOfExpr, MatrixOfInitTerms

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seq( ) seq(Expr, Var, Low, High[, Step]) ⇒ list Increments Var from Low through High by an increment of Step, evaluates Expr, and returns the results as a list. The original contents of Var are still there after seq() is completed. The default value for Step = 1. Catalog > /· Press Ctrl+Enter (Macintosh®: "+Enter) to evaluate: seqGen( ) Catalog > seqGen(Expr, Var, depVar, {Var0, VarMax}[, ListOfInitTerms [, VarStep [, CeilingValue]]]) ⇒ list Generate the first 5 terms of the sequence u(n) = u(n-1)2/2, with u(1)=2 and VarStep=1. Generates a list of terms for sequence depVar(Var)=Expr as follows: Increments independent variable Var from Var0 through VarMax by VarStep, evaluates depVar(Var) for corresponding values of Var using the Expr formula and ListOfInitTerms, and returns the results as a list. seqGen(ListOrSystemOfExpr, Var, ListOfDepVars, {Var0, VarMax} [, MatrixOfInitTerms [, VarStep [, CeilingValue]]]) ⇒ matrix Generates a matrix of terms for a system (or list) of sequences ListOfDepVars(Var)=ListOrSystemOfExpr as follows: Increments independent variable Var from Var0 through VarMax by VarStep, evaluates ListOfDepVars(Var) for corresponding values of Var using ListOrSystemOfExpr formula and MatrixOfInitTerms, and returns the results as a matrix. Example in which Var0=2: The original contents of Var are unchanged after seqGen() is completed. The default value for VarStep = 1. System of two sequences: Note: The Void (_) in the initial term matrix above is used to indicate that the initial term for u1(n) is calculated using the explicit sequence formula u1(n)=1/n. TI-Nspire™ Reference Guide 89

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TI-Nspire™ Reference Guide
89
seq()
Catalog >
seq(
Expr
,
Var
,
Low
,
High
[
,
Step
]
)
⇒
list
Increments
Var
from
Low
through
High
by an increment of
Step
,
evaluates
Expr
, and returns the results as a list. The original contents
of
Var
are still there after
seq()
is completed.
The default value for
Step
=
1.
Press
Ctrl
+
Enter
/·
(Macintosh®:
“
+
Enter
) to
evaluate:
seqGen()
Catalog >
seqGen(
Expr
,
Var
,
depVar
,
{
Var0
,
VarMax
}[
,
ListOfInitTerms
[
,
VarStep
[
,
CeilingValue
]]]
)
⇒
list
Generates a list of terms for sequence
depVar
(
Var
)=
Expr
as follows:
Increments independent variable
Var
from
Var0
through
VarMax
by
VarStep
, evaluates
depVar
(
Var
) for corresponding values of
Var
using the
Expr
formula and
ListOfInitTerms
, and returns the results
as a list.
seqGen(
ListOrSystemOfExpr
,
Var
,
ListOfDepVars
,
{
Var0
,
VarMax
}
[
,
MatrixOfInitTerms
[
,
VarStep
[
,
CeilingValue
]]]
)
⇒
matrix
Generates a matrix of terms for a system (or list) of sequences
ListOfDepVars
(
Var
)=
ListOrSystemOfExpr
as follows: Increments
independent variable
Var
from
Var0
through
VarMax
by
VarStep
,
evaluates
ListOfDepVars
(
Var
) for corresponding values of
Var
using
ListOrSystemOfExpr
formula and
MatrixOfInitTerms
, and returns
the results as a matrix.
The original contents of
Var
are unchanged after
seqGen()
is
completed.
The default value for
VarStep
=
1
.
Generate the first 5 terms of the sequence
u
(
n
) =
u
(
n
-1)
2
/2,
with
u
(1)=
2
and
VarStep
=
1
.
Example in which Var0=2:
System of two sequences:
Note: The Void (_) in the initial term matrix above is used to
indicate that the initial term for u1(n) is calculated using the
explicit sequence formula u1(n)=1/n.