document.write( "Question 1169266: A 12-wheeler truck is loaded with 13 piles of log. The bottom row contains 25 logs. Each of the remaining piles contains 2 logs less than the number of logs on a pile directly below it. Find the total weight of the logs carried by the truck if each log weighs 57kg. \r
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Algebra.Com's Answer #793930 by ikleyn(52799) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "You have two ways.\r\n" );
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document.write( "First way is to notice that the numbers are\r\n" );
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document.write( "   25 logs   (1-st, bottom pile)\r\n" );
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document.write( "   23 logs   (2-nd, next pile)\r\n" );
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document.write( "   21 logs   (3-rd pile)\r\n" );
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document.write( "   19 logs\r\n" );
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document.write( "   . . . . . \r\n" );
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document.write( "   25-2*(13-1) = 25-2*12 = 25-24 = 1 log (13-th pile)\r\n" );
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document.write( "Then to add the numbers 25 + 23 + 21 + 19 + . . . + 1  manually or using your calculator.\r\n" );
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document.write( "For it, there is no need to watch YouTube videos, at all.\r\n" );
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document.write( "But if you know what an arithmetic progression is, you may apply formulas for summing its terms.\r\n" );
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document.write( "You have 13 terms; the first term is   = 25;  the last, 13-th term is   = 1.\r\n" );
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document.write( "Hence, the sum of the thirteen terms is   =  =  =  = 13*13 = 169.   \r\n" );
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document.write( "The last step is to multiply 57 kilograms by 169.\r\n" );
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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
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\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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