document.write( "Question 1119983: if we write the numbers from 1 to 201 what is the sum of all the odd numbers \n" ); document.write( "
Algebra.Com's Answer #735626 by ikleyn(52813)\"\" \"About 
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document.write( "S =    1 +   3 +   5 +   7 + . . . + 201    <<<---=== 101 terms ! \r\n" );
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document.write( "S =  201 + 199 + 197 + 195 + . . . +   1\r\n" );
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document.write( "---------------------------------------------------------------  Now add the two lines. Yoo will get\r\n" );
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document.write( "2S = 202 + 202 + 202 + 202 + . . . + 202 = 202*101 = 20200.\r\n" );
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document.write( "S = \"%28202%2A101%29%2F2\" = \"101%5E2\" = 10201.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Arithmetic progression with the first term 1 and the common difference 2.\r
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\n" ); document.write( "\n" ); document.write( "For introductory lessons on arithmetic progressions see \r
\n" ); document.write( "\n" ); document.write( "    - Arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Problems on arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Arithmetic progressions\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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