document.write( "Question 388736: √5/√3 + √(3)/√(5) + 3/5*√(3)/√(5)+... this is limitless sequence Sn is required \n" ); document.write( "

Algebra.Com's Answer #275124 by Edwin McCravy(20056) $\"\"$ $\"About$

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$\"sqrt%285%29%2Fsqrt%283%29\"$ $\"%22%22%2B%22%22\"$ $\"sqrt%283%29%2Fsqrt%285%29\"$ $\"%22%22%2B%22%22\"$ $\"expr%283%2F5%29expr%28sqrt%283%29%2Fsqrt%285%29%29\"$
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document.write( "We check to see if it is a geometric series:\r\n" );
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document.write( "Dividing the second term by the first term:\r\n" );
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document.write( "Dividing the third term by the second term:\r\n" );
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document.write( "Since we got the same thing both times, it's a geometric series\r\n" );
document.write( "and the common ratio is what we got, namely \r\n" );
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document.write( "The formula for the infinite sum is:\r\n" );
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document.write( "where \r\n" );
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document.write( "Let's rationalize the denominator of that\r\n" );
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document.write( "and . Substituting:\r\n" );
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document.write( "Edwin

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