document.write( "Question 742212: I need to find the sum of the following infinite series: ∑[n-0,∞,1/4^n]
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Algebra.Com's Answer #852612 by ikleyn(53427)\"\" \"About 
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\n" ); document.write( "I need to find the sum of the following infinite series: ∑[n-0,∞,1/4^n]\r
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document.write( "This problem is to find the sum of the infinite geometric progression \r\n" );
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document.write( "having the first term  1 = \"%281%2F4%29%5E0\"  and the common ratio  \"1%2F4\".\r\n" );
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document.write( "The general formula is  S = \"a%2F%281-r%29\",  where 'a'  is the first term of a GP,\r\n" );
document.write( "and  'r'  is the common ratio.\r\n" );
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document.write( "For this problem, the sum is  S = \"1%2F%281-1%2F4%29\" = \"1%2F%28%283%2F4%29%29\" = \"4%2F3\".\r\n" );
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document.write( "ANSWER.  S = \"4%2F3\".\r\n" );
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