document.write( "Question 841148: 4 ,1 ,-2
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document.write( "Which term of the sequence is equal to -143 \n" );
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Algebra.Com's Answer #506672 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! First term: a1 = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Common Difference: d = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "nth term:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an = a1 + d(n-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an = 4 + (-3)(n-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an = 4 - 3n + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an = -3n + 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug in an = -143 and solve for n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "an = -3n + 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-143 = -3n + 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-143-7 = -3n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-150 = -3n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-150/(-3) = n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "50 = n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = 50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So it's the 50th term. \n" ); document.write( " |