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# View of /branches/UGA/2.2.5.pg

Sat Jul 24 17:09:50 2010 UTC (2 years, 9 months ago) by ted shifrin
File size: 1038 byte(s)
`Log message`

```    1 ## DESCRIPTION
2 ##   Recursive Sequence
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('Convergent Sequence')
6 ##
7
8 ## DBsubject('Calculus')
9 ## DBchapter('')
10 ## DBsection('')
11 ## Date('8/22/2009')
12 ## Author('Ted Shifrin')
13 ## Institution('UGA')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19
20 DOCUMENT(); # This should be the first executable line in the problem.
21
23            "PGbasicmacros.pl",
24            "PGchoicemacros.pl",
26            "PGauxiliaryFunctions.pl"
27           );
28
29 TEXT(beginproblem());
31
32 \$a = random(1, 10, 1);
33 \$b = random(1,10,1);
34 \$x0 = random (1,20,1);
35
36 \$ans = (\$a+sqrt(\$a**2+4*\$b))/2;
37
38 BEGIN_TEXT
39 Given \(x_0=\$x0\) and the recursive formula \(x_k = \$a + \dfrac{\$b}{x_{k-1}}\), assuming the sequence \( (x_k) \) converges, find its limit. \$BR
40 \{ans_rule(10)\} \$BR
41 END_TEXT
42
43 ANS(num_cmp(\$ans));
44
45
46 ENDDOCUMENT();  # This should be the last executable line in the problem.
```