document.write( "Question 1025208: The sum of the first to our members is 1+3=4. Some of the first three numbers is 1+3+5=9. What is the sum of the first eight odd numbers? How does a sum of the first eight even numbers compared to the sum of the first eight odd numbers? Explain why this is so? \n" ); document.write( "

Algebra.Com's Answer #640543 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "The sum of the first two odd numbers is 1+3=4. The sum of the first three odd numbers is 1+3+5=9. What is the sum of the first eight odd numbers?
\n" ); document.write( "How does a sum of the first eight even numbers compared to the sum of the first eight odd numbers? Explain why this is so?
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document.write( "1.  I edited your post.\r\n" );
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document.write( "2.  The sum of the first n odd integer (positive) numbers is \r\n" );
document.write( "    1 + 3 + 5 + . . . + (2n-1) = .   \r\n" );
document.write( "    So, the sum of the first 8 odd integer (positive) numbers is  = 64.\r\n" );
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document.write( "3.  The sum of the first n even integer (positive) numbers is \r\n" );
document.write( "    2 + 4 + 6 + . . . + (2n) = n*(n+1).\r\n" );
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document.write( "    So, the sum of the first 8 even integer (positive) numbers is 8*9 = 72.\r\n" );
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document.write( "See the lesson Problems on arithmetic progressions (Problems 2 and 3) in this site.\r\n" );
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