document.write( "Question 1059569: The sum of the first n counting/natural numbers is 23005. How many numbers were added (i.e. find n)? \n" ); document.write( "
Algebra.Com's Answer #674626 by ikleyn(52787)\"\" \"About 
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\n" ); document.write( "The sum of the first n counting/natural numbers is 23005. How many numbers were added (i.e. find n)?
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document.write( "The sum of the first n counting/natural numbers is \"S%5Bn%5D\" = \"%28n%2A%28n%2B1%29%29%2F2\".\r\n" );
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document.write( "See the lessons \r\n" );
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document.write( "    - Arithmetic progressions\r\n" );
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document.write( "    - The proofs of the formulas for arithmetic progressions \r\n" );
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document.write( "    - Problems on arithmetic progressions,  \r\n" );
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document.write( "in this site.\r\n" );
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document.write( "Therefore, to answer the question, you need to solve this equation\r\n" );
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document.write( "\"%28n%2A%28n%2B1%29%29%2F2\" = 23005,   or\r\n" );
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document.write( "n*(n+1) = 46010.\r\n" );
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document.write( "Apply any method you know to get the answer n = 214.\r\n" );
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document.write( "(Also notice that \"sqrt%2846010%29\" = 214.499. . . .\r\n" );
document.write( " It is how I got the answer).\r\n" );
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