ExplicitSequence1
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Sequences with Explicit Formulas
This PG code shows how to evaluate answers that are (possibly alternating) sequences with explicit formulas.
- Download file: File:ExplicitSequence1.txt (change the file extension from txt to pg when you save it)
- File location in NPL:
FortLewis/Authoring/Templates/Sequences/ExplicitSequences.pg
PG problem file | Explanation |
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Problem tagging: |
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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 ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT(); |
Solution: |