## DESCRIPTION
## Integral calculus: sequences and recursively defined functions
## ENDDESCRIPTION

## KEYWORDS('integral calculus', 'recursively defined functions')

## DBsubject('WeBWorK')
## DBchapter('WeBWorK Tutorial')
## DBsection('Fort Lewis Tutorial 2011')
## Date('01/30/2011')
## Author('Paul Pearson')
## Institution('Fort Lewis College')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')


###########################
#  Initialization

DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"parserFunction.pl",
);

TEXT(beginproblem());


###########################
#  Setup

Context("Numeric")->variables->are(n=>"Real");
parserFunction(f => "sin(pi^n)+e");

$fn = Formula("3 f(n-1) + 2");


###########################
#  Main text

Context()->texStrings;
BEGIN_TEXT
The current value \( f(n) \) is three 
times the previous value, plus two.  Find
a recursive definition for \( f(n) \).  
Enter \( f_{n-1} \) as \( f(n-1) \).
$BR
\( f(n) \) = \{ ans_rule(20) \} 
END_TEXT
Context()->normalStrings;


############################
#  Answer evaluation

$showPartialCorrectAnswers=1;

ANS( $fn->cmp() );


############################
#  Solution

Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT('MathObject version.');

ENDDOCUMENT();