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| 1 : | jj | 141 | ##DESCRIPTION |
| 2 : | ##KEYWORDS('') | ||
| 3 : | ## | ||
| 4 : | ##ENDDESCRIPTION | ||
| 5 : | |||
| 6 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 7 : | |||
| 8 : | loadMacros( | ||
| 9 : | "PG.pl", | ||
| 10 : | "PGbasicmacros.pl", | ||
| 11 : | "PGchoicemacros.pl", | ||
| 12 : | "PGanswermacros.pl", | ||
| 13 : | "PGgraphmacros.pl" | ||
| 14 : | ); | ||
| 15 : | |||
| 16 : | TEXT(beginproblem()); | ||
| 17 : | $showPartialCorrectAnswers = 1; | ||
| 18 : | |||
| 19 : | $a = random(3,5,1); | ||
| 20 : | $b = random(-5,10); | ||
| 21 : | $c = random(1,3,1); | ||
| 22 : | |||
| 23 : | if ($a == 3) {$ans = $c**2 - ($c+1)**2 + ($c+2)**2 - ($c+3)**2 + 4*$b;} | ||
| 24 : | if ($a == 4) {$ans = $c**2 - ($c+1)**2 + ($c+2)**2 - ($c+3)**2 + ($c+4)**2 + 5*$b;} | ||
| 25 : | if ($a == 5) {$ans = $c**2 - ($c+1)**2 + ($c+2)**2 - ($c+3)**2 + ($c+4)**2 - ($c+5)**2 + 6*$b;} | ||
| 26 : | |||
| 27 : | BEGIN_TEXT | ||
| 28 : | Evaluate the sum: | ||
| 29 : | \[ \sum_{k=0}^{$a}{((-1)^k (k+$c)^2+$b)} \] | ||
| 30 : | \{ans_rule(20)\} | ||
| 31 : | |||
| 32 : | END_TEXT | ||
| 33 : | ANS(num_cmp($ans, mode=>"arith")); | ||
| 34 : | |||
| 35 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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