document.write( "Question 259364: what is the sum of the first 1,000 consecutive odd numbers? \n" ); document.write( "

Algebra.Com's Answer #190928 by Fombitz(32388) $\"\"$ $\"About$

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The first 1000 consecutive odd numbers run from 1 to 1999.
\n" ); document.write( "The first 1000 consecutive even numbers run from 2 to 2000.
\n" ); document.write( "The sum of numbers from 1 to 2000 is,
\n" ); document.write( " $\"N=%282000%29%282001%29%2F2=2001000\"$
\n" ); document.write( "Each even number is 1 greater than each odd number like
\n" ); document.write( "1, 2
\n" ); document.write( "3, 4
\n" ); document.write( "Each even number is an odd number plus one.
\n" ); document.write( "So then the total sum is the sum of all the odds twice plus 1000.
\n" ); document.write( " $\"2%2AOS%2B1000=2001000\"$
\n" ); document.write( " $\"2%2AOS=2000000\"$
\n" ); document.write( " $\"OS=1000000\"$
\n" ); document.write( " $\"ES=1001000\"$
\n" ); document.write( "where OS is odds summed from 1 to 1999 and ES is the evens summed from 2 to 2000. \n" ); document.write( "

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