document.write( "Question 1136792: The sequence 2, 6, 18, 54, ... is geometric. Find
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document.write( "(1) the common ratio,
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document.write( "(2) the ninth term,
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document.write( "(3) a recursive rule for the nth term, and
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document.write( "(4) an explicit rule for the nth term \n" );
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Algebra.Com's Answer #754621 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! The sequence 2, 6, 18, 54, ... is geometric. Find \n" ); document.write( "(1) the common ratio, \n" ); document.write( " \r\n" ); document.write( "(2) the ninth term, \r\n" ); document.write( "2, 6, 18, 54, 54∙3=162, 162∙3=486, 486∙3=1458, 1458∙3=4374, 4374∙3=13122\r\n" ); document.write( " \n" ); document.write( "(3) a recursive rule for the nth term, \n" ); document.write( " \r\n" ); document.write( "a1 = 2, an+1 = 3∙an for n≥1.\r\n" ); document.write( " \n" ); document.write( "(4) an explicit rule for the nth term \n" ); document.write( " \r\n" ); document.write( "an = a1∙rn-1\r\n" ); document.write( "\r\n" ); document.write( "an = 2∙3n-1\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |