document.write( "Question 1204372: If the second and fifth terms of an G.P are 6 and 48 respectively, find the 10th term of the G.P \n" ); document.write( "
Algebra.Com's Answer #840574 by mananth(16946)![]() ![]() You can put this solution on YOUR website! If the second and fifth terms of an G.P are 6 and 48 respectively, find the 10th term of the G.P\r \n" ); document.write( "\n" ); document.write( "nth. term of GP = an = ar^(n-1)\r \n" ); document.write( "\n" ); document.write( "a5 = 48 - a^(5-1) \n" ); document.write( "-> 48 = ar^4---------------(1)\r \n" ); document.write( "\n" ); document.write( "Similarly \n" ); document.write( "a2 = 6= a^(2-1)\r \n" ); document.write( "\n" ); document.write( "ar =6------------------------(2) \n" ); document.write( "divide (2) by(1)\r \n" ); document.write( "\n" ); document.write( "48/6 = ar^4/ar \n" ); document.write( "r^3=8 \n" ); document.write( "r=2\r \n" ); document.write( "\n" ); document.write( "ar =6\r \n" ); document.write( "\n" ); document.write( "but r=2 \n" ); document.write( "2a=6 \n" ); document.write( "a=3\r \n" ); document.write( "\n" ); document.write( "a10 = ar^9\r \n" ); document.write( "\n" ); document.write( "a10 = 3*2*9 =1536\r \n" ); document.write( "\n" ); document.write( "10th term of the geometric progression is 1536.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |