document.write( "Question 1102910: The recursive rule for a sequence is f(1)=8 1/2, f(n)=f(n-1)-1/2.
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Algebra.Com's Answer #717630 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"f%28n%29=f%28n-1%29-1%2F2\"\r\n" );
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document.write( "\"f%28n%29-f%28n-1%29+=+-1%2F2\"\r\n" );
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document.write( "The left side is the difference between one term\r\n" );
document.write( "and the preceding term.\r\n" );
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document.write( "So this is an arithmetic sequence with\r\n" );
document.write( "common difference = \"d=-1%2F2\" and first term \"a%5B1%5D=f%5B1%5D=8%261%2F2\"\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
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document.write( "\"f%5Bn%5D=8%261%2F2%2B%28n-1%29%28-1%2F2%29\"\r\n" );
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document.write( "\"f%5Bn%5D=17%2F2-expr%281%2F2%29%28n-1%29\"\r\n" );
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document.write( "\"f%5Bn%5D=17%2F2-expr%281%2F2%29n%2B1%2F2\"\r\n" );
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document.write( "\"f%5Bn%5D=18%2F2-expr%281%2F2%29n\"\r\n" );
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document.write( "\"f%5Bn%5D=9-expr%281%2F2%29n\"   <-- explicit rule\r\n" );
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document.write( "Edwin
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