document.write( "Question 1057668: The sum of the second and third terms of a geometric progression is six times the fourth term. Find the two possible values of the common ratio. \n" ); document.write( "

Algebra.Com's Answer #672684 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "The sum of the second and third terms of a geometric progression is six times the fourth term.
\n" ); document.write( "Find the two possible values of the common ratio.
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document.write( "The condition says\r\n" );
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document.write( " = \r\n" );
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document.write( "where \"a\" is the first term and \"r\" is the common ratio.\r\n" );
document.write( "It leads to the equation\r\n" );
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document.write( " = 0,  or, in the factorized form\r\n" );
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document.write( "(2r-1)*(3r+1) = 0.\r\n" );
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document.write( "The roots are  and .\r\n" );
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document.write( "It is your answer.\r\n" );
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