document.write( "Question 937865: Hello.
\n" ); document.write( "Can someone please help me with this series problem.\r
\n" ); document.write( "\n" ); document.write( "I need to find \"a%5B1%5D+\" and \"d+\"
\n" ); document.write( "Given:
\n" ); document.write( "\"a%5B7%5D=49\" and \"a%5B3%5D+%2B+a%5B9%5D+=+82+\"\r
\n" ); document.write( "\n" ); document.write( "Thank you.
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Algebra.Com's Answer #571299 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "The \"n%5Bth%5D\" term of an arithmetic sequence is:\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D+=+a%5B1%5D++%2B+%28n-1%29d\"\r
\n" ); document.write( "\n" ); document.write( "where \"a%5B1%5D\" is the first term in the sequence, \"d\" is the common difference between terms and \"n\" is the number of the term to find\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"a%5B7%5D=49\" and \"a%5B3%5D+%2B+a%5B9%5D+=+82+\"\r
\n" ); document.write( "\n" ); document.write( "use \"a%5Bn%5D+=+a%5B1%5D++%2B+%28n-1%29d\" to find \"a%5B3%5D+\" and \"a%5B9%5D+\" expressed in terms of \"a%5B1%5D+\" and \"d+\"\r
\n" ); document.write( "\n" ); document.write( "=> \"a%5B3%5D+=a%5B1%5D++%2B+2d\"
\n" ); document.write( "=> \"a%5B9%5D+=a%5B1%5D++%2B+8d\"\r
\n" ); document.write( "\n" ); document.write( "=> \"a%5B1%5D++%2B+2d%2Ba%5B1%5D++%2B+8d=82\"\r
\n" ); document.write( "\n" ); document.write( "=> \"2a%5B1%5D++%2B+10d=82\"\r
\n" ); document.write( "\n" ); document.write( "=> \"2a%5B1%5D++=82-+10d\"\r
\n" ); document.write( "\n" ); document.write( "=> \"a%5B1%5D++=41-+5d\"\r
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\n" ); document.write( "\n" ); document.write( "find: \r
\n" ); document.write( "\n" ); document.write( "\"a%5B1%5D+\" and \"d+\"\r
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\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D+=+a%5B1%5D++%2B+%28n-1%29d\" if \"a%5B7%5D=49\" we have\r
\n" ); document.write( "\n" ); document.write( "\"49+=+a%5B1%5D++%2B+%287-1%29d\" ....substitute \"41-+5d\" for \"a%5B1%5D\"\r
\n" ); document.write( "\n" ); document.write( "\"49+=+41-+5d%2B+6d\"\r
\n" ); document.write( "\n" ); document.write( "\"49+-+41=d\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28d=8%29\"\r
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\n" ); document.write( "\n" ); document.write( "=> \"a%5B1%5D++=41-+5%2A8\"\r
\n" ); document.write( "\n" ); document.write( "=> \"a%5B1%5D++=41-+40\"\r
\n" ); document.write( "\n" ); document.write( "=> \"highlight%28a%5B1%5D++=1%29\"\r
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