document.write( "Question 1181352: The traveler account 96 layers in the stack (so the bottom layer has 96 pipes) The traveler pays $ .12 Per pound of scrap metal and estimates that each pipe weighs 8 pounds.
\n" ); document.write( "(1 pipe on top, 2 pipes in the second, 3 pipes on the third layer and so on) \r
\n" ); document.write( "\n" ); document.write( "How many total pipes are in the stack?
\n" ); document.write( "How much does a traveler offer to pay for all the pipes?
\n" ); document.write( "

Algebra.Com's Answer #811263 by ikleyn(52910)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The number of pipes is this sum\r\n" );
document.write( "\r\n" );
document.write( "    1 + 2 + 3 + 4 + . . . + 96.      (*)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is the sum of the first 96 natural numbers (arithmetic progression).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is well known fact that the sum of the first \"n\" natural numbers is equal to  \"%28n%2A%28n%2B1%29%29%2F2\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, in your case the sum of the numbers (*) is equal to  \"%2896%2A97%29%2F2\" = 4656.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The last step in solution of this problem is to multiply the found number of pipes  4656  by 8 and by 0.12  \r\n" );
document.write( "to get the answer in dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I leave it to you to complete this simple calculation.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Have fun  (!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Arithmetic progressions\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );