document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085497>Question 1085497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) Evaluate the series<BR>\n" );
document.write( "5<BR>\n" );
document.write( "&#931; (3)(1/2)^k<BR>\n" );
document.write( "k=1\r<BR>\n" );
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document.write( "A. 93/32<BR>\n" );
document.write( "B. 45/16<BR>\n" );
document.write( "C. 23/8<BR>\n" );
document.write( "D. 11/4\r<BR>\n" );
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document.write( "2) Evaluate the partial sum <BR>\n" );
document.write( "20<BR>\n" );
document.write( "&#931; (26+4k)<BR>\n" );
document.write( "k=5\r<BR>\n" );
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document.write( "A. 986<BR>\n" );
document.write( "B. 1060<BR>\n" );
document.write( "C. 1140<BR>\n" );
document.write( "D. 1216\r<BR>\n" );
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document.write( "3) Find the partial sum of the first 8 terms&#8203;of the&#8203; series <BR>\n" );
document.write( "8+16+32+...\r<BR>\n" );
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document.write( "A. 1024<BR>\n" );
document.write( "B. 2040<BR>\n" );
document.write( "C. 2048<BR>\n" );
document.write( "D. 2464\r<BR>\n" );
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document.write( "4) Evaluate the partial sum<BR>\n" );
document.write( "9+12+15+...+51+54+57\r<BR>\n" );
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document.write( "A. 504<BR>\n" );
document.write( "B. 561<BR>\n" );
document.write( "C. 621<BR>\n" );
document.write( "D. 698 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699600 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> k=1, product is 3/2<BR>\n" );
document.write( "2--3/4<BR>\n" );
document.write( "3--3/8<BR>\n" );
document.write( "4--3/16<BR>\n" );
document.write( "5--3/32<BR>\n" );
document.write( "common denominator is 32, numerator is 93, 93/32,<BR>\n" );
document.write( "A<BR>\n" );
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document.write( "at 5, it is 46.  At 20, it is 106<BR>\n" );
document.write( "at 12, it is 74, at 13, it is 78.  The average term is 76. There are 16 terms, average is 76, total 1216.<BR>\n" );
document.write( "D<BR>\n" );
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document.write( "a1=8; an=a1*2^(n-1)<BR>\n" );
document.write( "for 8th term is is a1(1-2^8)/(1-2)=8*(-255/-1)=8*255=2040<BR>\n" );
document.write( "8+16+32+64+128+256+512+1024=2040<BR>\n" );
document.write( "C<BR>\n" );
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document.write( "Partial sum between 9 and 57, with d=3<BR>\n" );
document.write( "There are 17 terms, there is a middle term (the ninth, which is a1+(3*8)=33) so 17 times the average, which is 33=561.<BR>\n" );
document.write( "B </SPAN>\n" );
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