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 #840575 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"n\"th term of G.P is \r
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\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=a%5B1%5D%2Ar%5E%28n-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Given that,\r
\n" ); document.write( "\n" ); document.write( "\"a%5B2%5D=6\"
\n" ); document.write( "\"a%5B5%5D=48\"
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\n" ); document.write( "\n" ); document.write( "\"a%5B2%5D=a%5B1%5D%2Ar%5E%282-1%29\"
\n" ); document.write( "\"6=a%5B1%5D%2Ar\"
\n" ); document.write( "\"+a%5B1%5D=6%2Fr\".....eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"+a%5B5%5D=a%5B1%5D%2Ar%5E%285-1%29\"
\n" ); document.write( "\"48=a%5B1%5D%2Ar%5E4\"
\n" ); document.write( " \"a%5B1%5D=48%2Fr%5E4\".....eq.2\r
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\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "\n" ); document.write( "\"6%2Fr=48%2Fr%5E4\"
\n" ); document.write( "\"6r%5E4=48r\"....simplify
\n" ); document.write( "\"r%5E3=8\"
\n" ); document.write( "\"r=2\"\r
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\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"a%5B1%5D=6%2F2\".....eq.1
\n" ); document.write( "\"a%5B1%5D=3\"\r
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\n" ); document.write( "\n" ); document.write( "your \"n\"th term equation is\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=3%2A2%5E%28n-1%29\"\r
\n" ); document.write( "\n" ); document.write( "now find \"10\"th term\r
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\n" ); document.write( "\n" ); document.write( "\"a%5B10%5D=3%2A2%5E%2810-1%29\"
\n" ); document.write( "\"a%5B10%5D=1536\"\r
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