document.write( "Question 52995: 2+4+6+...+34
\n" ); document.write( "------------- = ?
\n" ); document.write( "3+6+9+...+51
\n" ); document.write( " In this problem, instead of adding the numbers one by one is there any short method?
\n" ); document.write( " Thank you. \n" ); document.write( "
Algebra.Com's Answer #35344 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
2+4+6+...+34
\n" ); document.write( "------------- = ?
\n" ); document.write( "3+6+9+...+51
\n" ); document.write( "In this problem, instead of adding the numbers one by one is there any short method?
\n" ); document.write( "these are called arithmatic serties when difference between 2 consecutive numbers is constant..here 4-2=6-4=2....=34-32
\n" ); document.write( "there is formula to find the sum in such cases.but if you are not taught that there is a simple trick you cn use.
\n" ); document.write( "we have to find
\n" ); document.write( "s=2 + 4 + 6+8+.........+30+32+34........now write them in reverse order
\n" ); document.write( "s=34+32 +30+28+........+6 + 4 +2........now add
\n" ); document.write( "-----------------------------------------------------
\n" ); document.write( "2s=36+36+36+36+........+36+36+36=36*17 times
\n" ); document.write( "s=36*17/2=306
\n" ); document.write( "i think you can now do the second problem by your self \n" ); document.write( "
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