Difference between revisions of "ExplicitSequence1"
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<h2>Sequences with Explicit Formulas</h2> |
<h2>Sequences with Explicit Formulas</h2> |
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| − | <p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"> |
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| + | [[File:ExplicitSequence1.png|300px|thumb|right|Click to enlarge]] |
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| + | <p style="background-color:#f9f9f9;border:black solid 1px;padding:3px;"> |
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This PG code shows how to evaluate answers that are (possibly alternating) sequences with explicit formulas. |
This PG code shows how to evaluate answers that are (possibly alternating) sequences with explicit formulas. |
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| − | <ul> |
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| − | <li>Download file: [[File:Sequences2.txt]] (change the file extension from txt to pg when you save it)</li> |
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| − | <li>File location in NPL: <code>NationalProblemLibrary/FortLewis/Authoring/Templates/IntegralCalc/Sequences2.pg</code></li> |
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| − | </ul> |
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</p> |
</p> |
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| + | * File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Sequences/ExplicitSequence1.pg FortLewis/Authoring/Templates/Sequences/ExplicitSequence1.pg] |
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| + | * PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Sequences/ExplicitSequence1_PGML.pg FortLewis/Authoring/Templates/Sequences/ExplicitSequence1_PGML.pg] |
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| + | <br clear="all" /> |
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<p style="text-align:center;"> |
<p style="text-align:center;"> |
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[[SubjectAreaTemplates|Templates by Subject Area]] |
[[SubjectAreaTemplates|Templates by Subject Area]] |
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Context()->texStrings; |
Context()->texStrings; |
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BEGIN_SOLUTION |
BEGIN_SOLUTION |
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| − | ${PAR}SOLUTION:${PAR} |
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Solution explanation goes here. |
Solution explanation goes here. |
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END_SOLUTION |
END_SOLUTION |
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[[Category:Top]] |
[[Category:Top]] |
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| − | [[Category: |
+ | [[Category:Sample Problems]] |
| + | [[Category:Subject Area Templates]] |
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Revision as of 22:23, 13 June 2015
Sequences with Explicit Formulas
This PG code shows how to evaluate answers that are (possibly alternating) sequences with explicit formulas.
- File location in OPL: FortLewis/Authoring/Templates/Sequences/ExplicitSequence1.pg
- PGML location in OPL: FortLewis/Authoring/Templates/Sequences/ExplicitSequence1_PGML.pg
| PG problem file | Explanation |
|---|---|
|
Problem tagging: |
|
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "AnswerFormatHelp.pl", ); TEXT(beginproblem()); |
Initialization: |
Context("Numeric");
Context()->variables->are(n=>"Real");
$answer = Compute("(-1)^n / n!");
$answer->{test_points} = [[1],[2],[3],[4],[5],[6]];
@seq = (
"a_0 = 1",
"a_1 = -1",
"a_2 = \frac{1}{2}",
"a_3 = -\frac{1}{6}",
"a_4 = \frac{1}{24}",
"a_5 = -\frac{1}{120}",
"\ldots"
);
$sequence = join(", ", @seq);
|
Setup:
We set the test points to be positive integers to avoid errors when evaluating the answer. Even if you expect students to enter answers such as
We create an array of strings |
Context()->texStrings;
BEGIN_TEXT
Find a formula for \( n^{th} \) term of the sequence \( $sequence \).
$BR
$BR
\( a_n = \)
\{ ans_rule(20) \}
\{ AnswerFormatHelp("formulas") \}
END_TEXT
Context()->normalStrings;
|
Main Text: |
$showPartialCorrectAnswers = 1; ANS( $answer->cmp() ); |
Answer Evaluation: |
Context()->texStrings;
BEGIN_SOLUTION
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;
COMMENT('MathObject version.');
ENDDOCUMENT();
|
Solution: |
