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 #560224 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
Sum of all consecutive integers: \r
\n" ); document.write( "\n" ); document.write( "\"sum=%28n%28n%2B1%29%29%2F2\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "SUM OF \"EVEN\" NUMBERS:\r
\n" ); document.write( "\n" ); document.write( "Formula: \"N%28N%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "How to Find \"N+=+%28First_Even+%2B+Last_Even%29%2F2+-1\"\r
\n" ); document.write( "\n" ); document.write( "in your case: \r
\n" ); document.write( "\n" ); document.write( "\"2%2B4%2B6\"+...+\"100\" \r
\n" ); document.write( "\n" ); document.write( "find how many even numbers we have from \"1\" to \"100\"\r
\n" ); document.write( "\n" ); document.write( "\"N+=+%282%2B100%29%2F2-+1+=+50+\"\r
\n" ); document.write( "\n" ); document.write( "go to \"N%28N%2B1%29\" and find a sum of first \"50\" positive \"even\" integers => \"N%28N%2B1%29=%2850%29%2851%29+=highlight%28+2550%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );