document.write( "Question 933534: The first difference of a sequence is 3, 9, 15, 21,... The sum of the first two terms of the original sequence is 21. Find the first three terms of the original sequence. \n" ); document.write( "
Algebra.Com's Answer #566883 by Edwin McCravy(20056)\"\" \"About 
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\"a%5B2%5D-a%5B1%5D=3\", \"a%5B3%5D-a%5B2%5D=9\", \"a%5B4%5D-a%5B3%5D=15\", \"a%5B5%5D-a%5B4%5D=21\",\r
\n" ); document.write( "\n" ); document.write( "3, 9, 15, 21\r
\n" ); document.write( "\n" ); document.write( "Since we are given that \r
\n" ); document.write( "\n" ); document.write( "\"a%5B2%5D%2Ba%5B1%5D=21\", we have the system\r
\n" ); document.write( "\n" ); document.write( "\"system%28a%5B2%5D-a%5B1%5D=3%2Ca%5B2%5D%2Ba%5B1%5D=21%29\"\r
\n" ); document.write( "\n" ); document.write( "Solve that system and get \"a%5B2%5D=12\" and \"a%5B1%5D=9\", so\r
\n" ); document.write( "\n" ); document.write( "\"a%5B3%5D-a%5B2%5D=9\"
\n" ); document.write( "\"a%5B3%5D-12=9\"
\n" ); document.write( "\"a%5B3%5D=21\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B4%5D-a%5B3%5D=15\",
\n" ); document.write( "\"a%5B4%5D-a%5B3%5D=15\"
\n" ); document.write( "\"a%5B4%5D-21=15\"
\n" ); document.write( "\"a%5B4%5D=36\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5B5%5D-a%5B4%5D=21\",
\n" ); document.write( "\"a%5B5%5D-36=21\"
\n" ); document.write( "\"a%5B5%5D=57\"\r
\n" ); document.write( "\n" ); document.write( "The general term, BTW, is \"3%28n%5E2-2n%2B4%29\"\r
\n" ); document.write( "\n" ); document.write( "Edwin\r
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