document.write( "Question 923653: What is the sum of all consecutive even integers between 1 and 100 inclusive? \n" ); document.write( "

Algebra.Com's Answer #560214 by josmiceli(19441) $\"\"$ $\"About$

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Suppose you have:
\n" ); document.write( " $\"+1+%2B+2+%2B+3+%2B+4+%2B+5+%2B+6+%2B+7+%2B+8+%2B+9+%2B+10+\"$
\n" ); document.write( "The sum is $\"+55+\"$
\n" ); document.write( "The formula for this is:
\n" ); document.write( " $\"+S+=+%28+n%2A%28+n%2B1+%29+%29+%2F+2+\"$
\n" ); document.write( "where $\"+n+\"$ is the last number
\n" ); document.write( "check:
\n" ); document.write( " $\"+55+=+%28+10%2A11+%29+%2F+2+\"$
\n" ); document.write( " $\"+55+=+110%2F2+\"$
\n" ); document.write( " $\"+55=+55+\"$
\n" ); document.write( "OK
\n" ); document.write( "Now use it for numbers 1 to 100
\n" ); document.write( " $\"+S+=+%28+100%2A101%29%2F2+\"$
\n" ); document.write( " $\"+S+=+10100%2F2+\"$
\n" ); document.write( " $\"+S+=+5050++\"$
\n" ); document.write( " \n" ); document.write( "

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