4861 /www/nrich/html/content/id/4861/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><p><a href="https://nrich.maths.org/8045">First Forward Into Logo</a><br></br> <strong>Previous:</strong><a href="http://nrich.maths.org/public/viewer.php?obj_id=4860&amp;part=index"> FF11</a></p> <p> </p> <table style="" border=""> <tbody> <tr> <td>In FF9 you looked at several different sequences of numbers. <div>Here are more programs that generate sequences.</div> <br></br> <div>Now consider the following procedures.</div> <div>TO SUMO :X :N</div> <div>PR :X</div> <div>WAIT 120</div> <div>SUMO :X + :N :N + 2</div> <div>END</div> <br></br> <div>What do you think is happening this time?</div> <div>Try &#39;chasing&#39; through the procedure the values: x= 1 and n = 1.</div> <div>The output from this program is given on the right.</div> <br></br> <div>Now why not experiment further by changing the fourth line?</div> <div>For example:</div> <div>TO SUMO :X :N</div> <div>PR :X</div> <div>WAIT 120</div> <div>SUMO :X + :N :N + 3</div> <div>END</div> <br></br> <div>Or</div> <div>SUMO :X * :N :N - 3</div> <div>SUMO :X + :N * 2 :N + 1</div> <div>SUMO :X - :N :N + 3 Etc</div> <div>Any surprises?</div> </td> <td><mdo:image alt="turtle" height="37" src="turtle.gif" width="44"></mdo:image></td> <td><br></br> <div style="text-align: right;">1</div> <div style="text-align: right;">2</div> <div style="text-align: right;">5</div> <div style="text-align: right;">10</div> <div style="text-align: right;">17</div> <div style="text-align: right;">26</div> <div style="text-align: right;">37</div> <div style="text-align: right;">50</div> <div style="text-align: right;">65</div> <div style="text-align: right;">82</div> <div style="text-align: right;">101</div> <div style="text-align: right;">122</div> <div style="text-align: right;">stopped</div> <div style="text-align: right;">in SUMO</div> <br></br> <div style="text-align: right;">2</div> <div style="text-align: right;">6</div> <div style="text-align: right;">8</div> <div style="text-align: right;">8</div> <div style="text-align: right;">6</div> <div style="text-align: right;">2</div> <div style="text-align: right;">-4</div> <div style="text-align: right;">-12</div> <div style="text-align: right;">-22</div> <div style="text-align: right;">-34</div> <div style="text-align: right;">-48</div> <div style="text-align: right;">stopped</div> <div style="text-align: right;">in SUMO</div> </td> </tr> </tbody> </table> <br></br> <div>You might like to learn more Logo programming with <a href="http://nrich.maths.org/public/viewer.php?obj_id=4863&amp;part=index">Muggles, Logo and Gradients</a> if you have not worked through it yet.</div> <p> </p></mdoxml> 2 3 0 0 1 1 1 Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences. Information and Communications Technology Logo Sequences, Functions and Graphs Sequences Algebra Formulae Using, Applying and Reasoning about Mathematics Practical Activity