document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151580>Question 1151580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> First question :\r<BR>\n" );
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document.write( "If P=2+4+6+8+...+104 and Q=6+8+10+12+...+106 are sums of arithmetic sequence, determine which is greater, P or Q, and by how much.\r<BR>\n" );
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document.write( "Second Question:\r<BR>\n" );
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document.write( "Find a 3 by 3 magic square using the numbers 7,8,9,14,15,16,21,22,and 23. \r<BR>\n" );
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document.write( "Third question:<BR>\n" );
document.write( "Suppose there is a pile of quarters, dimes, and pennies with a total of $1.07.<BR>\n" );
document.write( "a) How much of each coin can be present without being able to make change for a dollar?<BR>\n" );
document.write( "b)Explain why $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar.\r<BR>\n" );
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document.write( "Fourth Question:<BR>\n" );
document.write( "Find the 100th and nth term for each of the following sequences.<BR>\n" );
document.write( "a. 1,5,9,13,...<BR>\n" );
document.write( "b.70,120,170...<BR>\n" );
document.write( "c.1,3,9....<BR>\n" );
document.write( "d.8,8^4,8^7,8^10,...<BR>\n" );
document.write( "e.109+7x3^32,109+8x3^32,109+9x3^32,...\r<BR>\n" );
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document.write( "Fifth question:\r<BR>\n" );
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document.write( "The first figure takes 5 matchstick squares to build, the second takes 11 to build, and the third takes 17 to build.<BR>\n" );
document.write( "a) how many matchstick squares will it take to build the 8th figure?<BR>\n" );
document.write( "b) how many matchstick squares will it take to build the nth figure?<BR>\n" );
document.write( "c) how many matchsticks will it take to build the nth figure?\r<BR>\n" );
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document.write( "Last Question:<BR>\n" );
document.write( "The first difference of a sequence is the arithmetic sequence 3,5,7,9,11,... Find the first six terms of the original sequence in each of the following cases. <BR>\n" );
document.write( "a) the first term of the original sequence is 5.<BR>\n" );
document.write( "b) the sum of the first two terms in the original sequence is 7.<BR>\n" );
document.write( "c) the fifth term in the original sequence is 39. \r<BR>\n" );
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document.write( "THANK YOU SO MUCH FOR YOUR HELP I GREATLY APPRECIATE IT ! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773382 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "<H2>The rule of this forum is ONE AND ONLY ONE problem/question per post.</H2>\r<BR>\n" );
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document.write( "We will be happy to help you to solve the problems, but only one per green.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In order do not leave you unhappy, &nbsp;I will answer only &nbsp;FIRST &nbsp;question.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "If you take the difference P - Q,  you will see that almost all the terms cancel each other, \r\n" );
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document.write( "and the only terms that survive are\r\n" );
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document.write( "    2 + 4 - 106\r\n" );
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document.write( "giving the answer  -100.\r\n" );
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document.write( "Thus P - Q = -100,  which means that  Q  is greater than  P  by  100 units.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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