document.write( "Question 1150464: Find the tenth term of a geometric sequence if the third term is 24 and the fifth term is 32/3. \n" ); document.write( "

Algebra.Com's Answer #771852 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The \"solution\" by @josgarithmetic, giving the unique value of $\"2%2F3\"$ to the common ratio, is UNCOMPLETED, \r
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\n" ); document.write( "\n" ); document.write( "            I came to bring the correct solution.\r
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document.write( " = 24\r\n" );
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document.write( " = \r\n" );
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document.write( " = r^2 =  =  = , where r is the common ratio of the progression.\r\n" );
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document.write( "Therefore,  the common ratio r may have TWO possible values,  r =   and  r = .\r\n" );
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document.write( "Therefore, looking for , we should consider TWO cases.\r\n" );
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document.write( "Case 1.   r = .    Then   =  =  = .\r\n" );
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document.write( "Case 2.   r = - .    Then   =  =  = - .\r\n" );
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document.write( "ANSWER.  Under given conditions,  the 10-th term,  ,  may have one of the two values\r\n" );
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document.write( "          =    or    = - .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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