document.write( "Question 524216: If a5= 48 and a17=196608 are he terms of a geometric sequence find a32.. Please help me solve this geometric sequence. \n" ); document.write( "
Algebra.Com's Answer #347656 by Maths68(1474)\"\" \"About 
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Formula to find nth geometric term \"a%5Bn%5D=a%5B1%5D%2Ar%5En-1\"
\n" ); document.write( "\"a%5Bn%5D\" = nth term
\n" ); document.write( "\"a%5B1%5D\" = First term
\n" ); document.write( "\"r\" = Common ratio
\n" ); document.write( "\"n\" = number of term\r
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\n" ); document.write( "\n" ); document.write( "\"a%5B5%5D=48\"
\n" ); document.write( "\"48=a%5B1%5D%2Ar%5E%285-1%29\"
\n" ); document.write( "\"48=a%5B1%5D%2Ar%5E4%29\"
\n" ); document.write( "\"a%5B1%5D%2Ar%5E4=48%29\"
\n" ); document.write( "\"a%5B1%5D=48%2Fr%5E4%29\"...............(1)\r
\n" ); document.write( "\n" ); document.write( "\"a%5B17%5D=196608\"
\n" ); document.write( "\"196608=a%5B1%5D%2Ar%5E%2817-1%29\"
\n" ); document.write( "\"196608=a%5B1%5D%2Ar%5E16\"
\n" ); document.write( "\"a%5B1%5D=196608%2Fr%5E16\"...........(2)\r
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\n" ); document.write( "\n" ); document.write( "\"a%5B1%5D=a%5B1%5D\"\r
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\n" ); document.write( "\n" ); document.write( "\"48%2Fr%5E4=196608%2Fr%5E16%29\"
\n" ); document.write( "\"r%5E16%2Fr%5E4=196608%2F48%29\"
\n" ); document.write( "\"r%5E%2816-4%29=4096%29\"
\n" ); document.write( "\"r%5E12=4096%29\"
\n" ); document.write( "\"r%5E12=%282%29%5E12%29\"
\n" ); document.write( "\"r=2%29\"\r
\n" ); document.write( "\n" ); document.write( "Put the value of r in (1)
\n" ); document.write( "\"a%5B1%5D=48%2F2%5E4%29\"
\n" ); document.write( "\"a%5B1%5D=48%2F16\"
\n" ); document.write( "\"a%5B1%5D=3\"\r
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\n" ); document.write( "\n" ); document.write( "Put the value of \"a%5B1%5D\" and \"r\" in the formula for finding nth term in our case it is \"a%5B32%5D\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=a%5B1%5D%2Ar%5E%28n-1%29\"
\n" ); document.write( "\"a%5B32%5D=3%2A%282%29%5E%2832-1%29\"
\n" ); document.write( "\"a%5B32%5D=3%2A2%5E31\"
\n" ); document.write( "\"a%5B32%5D=%283%2A2147483648%29\"
\n" ); document.write( "\"a%5B32%5D=6442450944\"\r
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