156 Alphabetical Listing
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 andVarStep=1.
Example inwhichVar0=2:
Example inwhichinitial term is symbolic:
System of two sequences:
Note: The Void(_) in the initialterm matrix
above is usedto indicate thatthe initial term
for u1(n) is calculated using the explicit
sequence formula u1(n)=1/n.
seqn()
Catalog >
seqn(Expr(u, n[, ListOfInitTerms[, nMax[,
CeilingValue]]]) ⇒ list
Generate the first 6 terms of the sequence u
(n) = u(n-1)/2, withu(1)=2.
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