WeBWorK_ProgrammingExercises/CodingProblem3.pg at master · esullivanmath/WeBWorK_ProgrammingExercises · GitHub

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##DESCRIPTION
##  This problem is meant to have students write brief pieces of code to solve problems that have a specific numerical answer.
##ENDDESCRIPTION

##KEYWORDS('programming', 'code')

## DBsubject('Programming')
## DBchapter('')
## DBsection('')
## Date('6/7/2016')
## Author('')
## Institution('')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')

########################################################################

DOCUMENT();
loadMacros(
"PG.pl",
"PGauxiliaryFunctions.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"MathObjects.pl",
"problemRandomize.pl",
"PGanswermacros.pl",
"PGgraphmacros.pl",
"PGnumericalmacros.pl",
"PGstatisticsmacros.pl",
"answerHints.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;
# How many attempts before a hint?
$showHint = 3;

#Allow the student to generate a new (re-randomized) problem
#AFTER they have submitted a correct answer.
ProblemRandomize(onlyAfterDue=>0);
##############################################################


$N = random(250,370,1);

$SumSquares = 0;
$SquareSum = 0;
for ( $j = 1; $j <= $N; $j++) {
    $SumSquares = $SumSquares + $j**2;
    $SquareSum = $SquareSum + $j;
}
$SquareSum = $SquareSum**2;
$D = abs($SquareSum - $SumSquares);

##############################################################
#
#  Text
#
#

Context()->texStrings;
BEGIN_TEXT
The sum of the squares of the first five natural numbers is \(1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 55\). $BR
The square of the sum of the first five natural numbers is \( (1+2+3+4+5)^2 = 225\).  $BR
Hence, the absolute difference between the sum of the squares of the first five natural numbers and the square of the sum is \(|225-55| = 170\).
$BR
Write computer code (with MATLAB or other similar programming language) to find the absolute difference between the sum of the squares of the first $N natural numbers and the square of the sum.
$BR
Sum = \{ans_rule(15)\}


END_TEXT
BEGIN_HINT
If your computer code is outputting scientific notation you might want to change the number format on your output.  For example, in MATLAB you can give the command $BR
format long g
$BR
to tell MATLAB to give the answer in long decimal form.
END_HINT
ANS(num_cmp($D,tol=>0.5));

##############################################################
#
#  Answers
#
#


ENDDOCUMENT();