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)\"\" \"About 
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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
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