document.write( "Question 862879: write a recursive rule for the sequence 1, 1/2, 1/2, 3/4, 3/2,... \n" ); document.write( "
Algebra.Com's Answer #520084 by Edwin McCravy(20056)\"\" \"About 
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document.write( "\"1\", \"1%2F2\", \"1%2F2\", \"3%2F4\", \"3%2F2\", ...\r\n" );
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document.write( "1st term = 1, then\r\n" );
document.write( "multiply the 1st term, \"1\", by \"1%2F2\" to get the 2nd term, \"1%2F2\", \r\n" );
document.write( "multiply the 2nd term, \"1%2F2\", by \"1\" to get the 3rd term, \"1%2F2\", \r\n" );
document.write( "multiply the 3rd term, \"1%2F2\", by \"3%2F2\" to get the 4th term, \"3%2F4\", \r\n" );
document.write( "multiply the 4th term, \"3%2F4\", by \"2\" to get the 5th term, \"3%2F2\" \r\n" );
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document.write( "Notice that if we think of 1 as \"2%2F2\" and 2 as \"4%2F2\", we have:\r\n" );
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document.write( "1st term = 1, then we\r\n" );
document.write( "multiply the 1st term, \"1\", by \"1%2F2\" to get the 2nd term, \"1%2F2\", \r\n" );
document.write( "multiply the 2nd term, \"1%2F2\", by \"1%2F2\" to get the 3rd term, \"1%2F2\", \r\n" );
document.write( "multiply the 3rd term, \"1%2F2\", by \"3%2F2\" to get the 4th term, \"3%2F4\", \r\n" );
document.write( "multiply the 4th term, \"3%2F4\", by \"4%2F2\" to get the 5th term, \"3%2F2\" \r\n" );
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document.write( "So we multiply the nth term by \"n%2F2\" to get the (n+1)st term. \r\n" );
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document.write( "So the recursive formuna for an is\r\n" );
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document.write( "a1 = 1, an+1 = \"n%2F2\"·an\r\n" );
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document.write( "Edwin
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