document.write( "Question 1086032: The third term of a geometric sequence is 3 and the 6th term is 1/9? Find the first term.
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Algebra.Com's Answer #700140 by ikleyn(52776) $\"\"$ $\"About$

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document.write( " =  = 3,     (1)\r\n" );
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document.write( " =  = .     (2)\r\n" );
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document.write( "Divide eq(2) by eq(1) (both sides). You will get \r\n" );
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document.write( " =  =  =  = ,\r\n" );
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document.write( "which implies  \r\n" );
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document.write( "r = .\r\n" );
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document.write( "Thus we found the common ratio. It is r = .\r\n" );
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document.write( "Then from  (1)   =  =  = 27.\r\n" );
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document.write( "The progression is 27, 9, 3, 1, , .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. $\"a%5B1%5D\"$ = 27.\r
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