document.write( "Question 336304: a G.P has a first term of a, a common ratio of r and its 6th term is 768. another G.P has a first term of a, a common ratio of 6r and its 3rd term is 3456. evaluate a and r. \n" ); document.write( "
Algebra.Com's Answer #241097 by galactus(183)![]() ![]() You can put this solution on YOUR website! The nth term of a geometric sequence is given by \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the first condition, the 6th term is 768:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the second condition, the third term is 3456:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, we have two equations with two unknowns to solve, a and r:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve the first one for \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, |