\r\n" );
document.write( "Here's a different approach:\r\n" );
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document.write( "The sixth term of a geometric series of positive terms
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document.write( "is 10 and the sixteenth term is 0.1, what is the eleventh term?
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document.write( "Then the series is:\r\n" );
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document.write( "
\r\n" );
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document.write( "Each term is the preceding term multiplied by the \r\n" );
document.write( "common ratio r, so\r\n" );
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document.write( "
\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "
\r\n" );
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document.write( "We solve the first equation for r5:\r\n" );
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document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "We substitute for r5 in the second equation:\r\n" );
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document.write( "
\r\n" );
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document.write( "
\r\n" );
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document.write( "
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document.write( "Multiply both sides by 10\r\n" );
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document.write( "
\r\n" );
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document.write( "So\r\n" );
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document.write( "
\r\n" );
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document.write( "
\r\n" );
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document.write( "But since we are told the terms are all positive,\r\n" );
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\r\n" );
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document.write( "and the eleventh term is 1.\r\n" );
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document.write( "Edwin
\r
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
