document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188914>Question 1188914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand this q\r<BR>\n" );
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document.write( "In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled.  The possible fares charged, in dollars, in this city, can be represented by the recursion formula\r<BR>\n" );
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document.write( "tn = tn-1 + 0.75;   t1 =8\r<BR>\n" );
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document.write( "a)  What is the initial fixed charge?\r<BR>\n" );
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document.write( "b)  What is the charge per kilometre travelled?\r<BR>\n" );
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document.write( "c)  Is this an arithmetic or geometric sequence?\r<BR>\n" );
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document.write( "d)  Find the general term of the sequence.\r<BR>\n" );
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document.write( "e)  Calculate the fare for a 15 km trip. </SPAN>\n" );
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document.write( "My guess is that it is the recursive formula you don't understand.  I will explain that; then you can answer the questions.<br><BR>\n" );
document.write( "If you then still need more help, re-post the question telling us WHAT it is about the problem that you don't understand.<br><BR>\n" );
document.write( "The recursive formula is<br><BR>\n" );
document.write( "tn = tn-1 + 0.75; t1 =8<br><BR>\n" );
document.write( "I much prefer to write it as a function, like this:<br><BR>\n" );
document.write( "t(n) = t(n-1)+0.75; t(1) = 8<br><BR>\n" );
document.write( "In that form, t is the total taxi fare and n is the number of kilometers traveled.  The recursive formula then says two things:<br><BR>\n" );
document.write( "(1) The cost for traveling n kilometers is the cost for traveling (n-1) kilometers, plus 75 cents -- in other words, each additional kilometer costs 75 cents more; and<br><BR>\n" );
document.write( "(2) The cost of traveling 1 kilometer is $8<br><BR>\n" );
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