document.write( "Question 574501: 1+3+5+7+ . . . +99+101 = (?) Please show me the steps. \n" ); document.write( "
Algebra.Com's Answer #369104 by reviewermath(1029)\"\" \"About 
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1 = 1 = \"1%5E2\"
\n" ); document.write( "1+3 = 4 = \"2%5E2\"
\n" ); document.write( "1+3+5 = 9 = \"3%5E2\"
\n" ); document.write( "1+3+5+7 = 16 = \"4%5E2\"
\n" ); document.write( "...
\n" ); document.write( "The sum of the first n odd numbers is \"n%5E2\".
\n" ); document.write( "The nth odd number is 2n-1.
\n" ); document.write( "2n-1 = 101
\n" ); document.write( "n = 51
\n" ); document.write( "There are 51 odd numbers from 1 to 101, inclusive.
\n" ); document.write( "The sum of the first 51 odd numbers is \"51%5E2=2601\"\r
\n" ); document.write( "\n" ); document.write( "Answer: 2601
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