document.write( "Question 932491: Given that A 5 = 46 and A7 = 60 are the 5th and 7th terms in a arithmetic sequence find \n" ); document.write( "
Algebra.Com's Answer #566160 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"system%28a%5B6%5D=a%5B5%5D%2Bd%2Ca%5B7%5D=a%5B6%5D%2Bd%29\"\r\n" );
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document.write( "\"system%28a%5B6%5D=46%2Bd%2C60=a%5B6%5D%2Bd%29\"\r\n" );
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document.write( "Use substitution of 46+d for a6 in 2nd equation\r\n" );
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document.write( "\"60=46%2Bd%2Bd\"\r\n" );
document.write( "\"60=46%2B2d\"\r\n" );
document.write( "\"14=2d\"\r\n" );
document.write( "\"7=d\"\r\n" );
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document.write( "Then use formula\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\" with n=5 and a5=46\r\n" );
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document.write( "\"a%5B5%5D=a%5B1%5D%2B%285-1%297\"\r\n" );
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document.write( "\"46=a%5B1%5D%2B%284%297\"\r\n" );
document.write( "\"46=a%5B1%5D%2B28\"\r\n" );
document.write( "\"18=a%5B1%5D\"\r\n" );
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document.write( "So \r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\" becomes:\r\n" );
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document.write( "\"a%5Bn%5D=18%2B%28n-1%297\"\r\n" );
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document.write( "\"a%5Bn%5D=18%2B7%28n-1%29\"\r\n" );
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document.write( "\"a%5Bn%5D=18%2B7n-7\"\r\n" );
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document.write( "\"a%5Bn%5D=7n%2B11\"\r\n" );
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document.write( "You didn't say what you wanted to find but you can use\r\n" );
document.write( "that formula to find any term.\r\n" );
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document.write( "Or you ccan find a formula to use for the sum of any\r\n" );
document.write( "numer of terms:\r\n" );
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document.write( "\"S%5Bn%5D=expr%28n%2F2%29%282a%5B1%5D%2B%28n-1%29d%29\"\r\n" );
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document.write( "\"S%5Bn%5D=expr%28n%2F2%29%282%2818%29%2B%28n-1%297%29\"\r\n" );
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document.write( "\"S%5Bn%5D=expr%28n%2F2%29%2836%5E%22%22%2B7%28n-1%29%29\"\r\n" );
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document.write( "\"S%5Bn%5D=expr%28n%2F2%29%2836%2B7n-7%29\"\r\n" );
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document.write( "\"S%5Bn%5D=expr%28n%2F2%29%287n%2B29%29\"\r\n" );
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document.write( "Edwin
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