document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085527>Question 1085527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) Find the sum of the series.<BR>\n" );
document.write( "9<BR>\n" );
document.write( "&#931; k^2<BR>\n" );
document.write( "k=1\r<BR>\n" );
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document.write( "2) Find the sum of the series.<BR>\n" );
document.write( "6<BR>\n" );
document.write( "&#931; k^2<BR>\n" );
document.write( "k=1\r<BR>\n" );
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document.write( "3) Determine which expressions can be used to show the following series in summation notation.<BR>\n" );
document.write( "- 1/2 + - 1/4 +(- 1/6) + 1/8 +(- 1/10)\r<BR>\n" );
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document.write( "4) Evaluate. <BR>\n" );
document.write( "s5 for 2500+2000+1600+1280+...\r<BR>\n" );
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document.write( "5) Evaluate. <BR>\n" );
document.write( "7<BR>\n" );
document.write( "&#931; 1/16(4)^k+1<BR>\n" );
document.write( "k=1<BR>\n" );
document.write( "enter only the sum.\r<BR>\n" );
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document.write( "6) Find the sum of the first six terms of the geometric series in which a3 is -18 and a6 is 486.\r<BR>\n" );
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document.write( "7) Evaluate.<BR>\n" );
document.write( "9<BR>\n" );
document.write( "&#931; 3k+4<BR>\n" );
document.write( "k+1<BR>\n" );
document.write( "enter only the sum.\r<BR>\n" );
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document.write( "8) Enter the explicit formula for the given series.<BR>\n" );
document.write( "-4+(-9)+(-14)+(-19)+(-24)+(-29)=6 ?<BR>\n" );
document.write( "                                &#931;  <BR>\n" );
document.write( "                               k=1\r<BR>\n" );
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document.write( "9) Find the sum of the series.<BR>\n" );
document.write( "32<BR>\n" );
document.write( "&#931; k<BR>\n" );
document.write( "k=1\r<BR>\n" );
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document.write( "10) Evaluate. <BR>\n" );
document.write( "s21 for 23+20+17+14+...<BR>\n" );
document.write( "enter only the sum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699628 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52802)</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=699628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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( "1) Find the sum of the series.\r\n" );
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document.write( "9\r\n" );
document.write( "&#931; k^2  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2A%28n%2B1%29%2A%282n%2B1%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28n%2A%28n%2B1%29%2A%282n%2B1%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > at n = 9     =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2A%289%2B1%29%2A%282%2A9%2B1%29%29%2F6 ALIGN=MIDDLE  ALT=\"%289%2A%289%2B1%29%2A%282%2A9%2B1%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = calculate it on your own . . . \r\n" );
document.write( "k=1\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Regarding the general formula, see the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Mathematical-induction-for-sequences-other-than-arithmetic-or-geometric.lesson>Mathematical induction for sequences other than arithmetic or geometric</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook under the topic <BR>\n" );
document.write( "<U>\"Method of Mathematical induction\"</U>.\r<BR>\n" );
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document.write( "The rule of this forum is : ONE and ONLY ONE problem per post.\r<BR>\n" );
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document.write( "Think a minute about it, and you will agree that it is reasonable.\r<BR>\n" );
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document.write( "If I solve all your problem in one post, you simply will drown in this material.\r<BR>\n" );
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document.write( "So, submit your problems one after one, and our tutors will solve them for you.\r<BR>\n" );
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document.write( "When you violate this rule, you work against yours better interests.\r<BR>\n" );
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document.write( "Is it clear ??\r<BR>\n" );
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document.write( " </SPAN>\n" );
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