document.write( "Question 826711: Show that in any GP, S(2n): S(n)=(r^n+1):1\r
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Algebra.Com's Answer #498222 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Show that in any GP,
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document.write( "\"S%5Bn%5D\"\"%22%22=%22%22\"\"a%5B1%5D%281-r%5En%29%2F%281-r%29\"\r\n" );
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document.write( "So\r\n" );
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document.write( "\"S%5B2n%5D\"\"%22%22=%22%22\"\"a%5B1%5D%281-r%5E%282n%29%29%2F%281-r%29\"\r\n" );
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document.write( "\"S%5B2n%5D%2FS%5Bn%5D\"\"%22%22=%22%22\"\"%28a%5B1%5D%281-r%5E%282n%29%29%2F%281-r%29%29%2F%28a%5B1%5D%281-r%5En%29%2F%281-r%29%29\"\"%22%22=%22%22\"\"a%5B1%5D%281-r%5E%282n%29%29%2F%281-r%29\"\"%22%F7%22\"\"a%5B1%5D%281-r%5En%29%2F%281-r%29\"\"%22%22=%22%22\"\"a%5B1%5D%281-r%5E%282n%29%29%2F%281-r%29\"\"%22%22%2A%22%22\"\"%281-r%29%2Fa%5B1%5D%281-r%5En%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\"cross%28a%5B1%5D%29%281-r%5E%282n%29%29%2F%28cross%281-r%29%29\"\"%22%22%2A%22%22\"\"%28cross%281-r%29%29%2Fcross%28a%5B1%5D%29%281-r%5En%29\"\"%22%22=%22%22\"\"%281-r%5E%282n%29%29%2F%281-r%5En%29\"\"%22%22=%22%22\"\"%28%281-r%5En%29%281%2Br%5En%29%29%2F%281-r%5En%29\"\"%22%22=%22%22\"\"%28%28cross%281-r%5En%29%29%281%2Br%5En%29%29%2F%28cross%281-r%5En%29%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\"1%2Br%5En\"\"%22%22=%22%22\"\"%28r%5En%2B1%29%2F1\"\r\n" );
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document.write( "\"S%5B2n%5D%2FS%5Bn%5D\"\"%22%22=%22%22\"\"%28r%5En%2B1%29%2F1\"\r\n" );
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document.write( "is equivalent to the proportion:\r\n" );
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document.write( "\"S%5B2n%5D\"\"%22%3A%22\"\"S%5Bn%5D\"\"%22%22=%22%22\"\"r%5En%2B1\"\"%22%3A%22\"\"1\" \r\n" );
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document.write( "Edwin

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