##KEYWORDS('Series' , 'Divergent', 'Convergent' )
##DESCRIPTION
## Determine if a series is convergent and evaluate it
##ENDDESCRIPTION

## Shotwell cleaned


## DBsubject('Calculus')
## DBchapter('Infinite Sequences and Series')
## DBsection('Series')
## Date('6/3/2002')
## Author('')
## Institution('')
## TitleText1('Calculus Early Transcendentals')
## EditionText1('4')
## AuthorText1('Stewart')
## Section1('11.2')
## Problem1('23')

DOCUMENT();        # This should be the first executable line in the problem.

loadMacros(
"PGbasicmacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;

$a = random(1,19,1);

BEGIN_TEXT
Determine whether the series is convergent or divergent. If convergent, find the sum;
if divergent, enter $BITALIC div $EITALIC.
\[ \sum_{n=1}^\infty \frac{$a}{n(n+2)} \]
Answer: \{ans_rule(20)\}
END_TEXT


ANS(num_cmp("$a*3/4", strings=>['div']));

ENDDOCUMENT();        # This should be the last executable line in the problem.