document.write( "Question 1119997: if we write the numbers from 50 to 151 what is the difference between the sum of all the odd and even numbers \n" ); document.write( "
Algebra.Com's Answer #735637 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sum of a series of numbers is calculated by adding the first one to the last one, multiplying by the number of numbers, and then dividing by 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the series 50 to 151, there are 102 numbers (151 - 50 + 1). Since there is an even number of consecutive numbers, exactly half of \n" ); document.write( "them are even and half are odd, so there are 51 even numbers and 51 odd numbers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the sum of the even numbers, the first is 50 and the last is 150, so the sum is (50 + 150) times 51 and the whole thing divided by 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the sum of the odd numbers, the first is 51 and the last is 151, so the sum is (51 + 151) times 51 and the whole thing divided by 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do your own arithmetic. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " ![]() \n" ); document.write( " |