document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825241>Question 825241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Frieda is keeping track of how many coupans she has savved on a piece of paper . she spilled some coffe on the paper. her lis now looks like this: blank represents where the coffee spill occured.<BR>\n" );
document.write( "Started : 30 coupon After 1 week: after 2 weeks: after 3 weeks : 240 coupons <BR>\n" );
document.write( "a. assume that the sequence of the number of coupons is arithmetic.How many coupon did she have after 1 week? 2 weeks? <BR>\n" );
document.write( "b. Assume that the sequence of the number of coupons is geometric. How many coupons did she have after 1 week? after 2 weeks? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497149 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497149\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Started : 30 coupon After 1 week: after 2 weeks: after 3 weeks : 240 coupons <BR>\n" );
document.write( "a. assume that the sequence of the number of coupons is arithmetic.How many coupon did she have after 1 week? 2 weeks?<BR>\n" );
document.write( "a(1) = 30 ; a(3) = 240<BR>\n" );
document.write( "a(3) = a(1)+2d = 240<BR>\n" );
document.write( "30 + 2d = 240<BR>\n" );
document.write( "2d = 210<BR>\n" );
document.write( "d = 105<BR>\n" );
document.write( "After 1 week: 30<BR>\n" );
document.write( "After 2 weeks: 30 + 105 = 135<BR>\n" );
document.write( "------------------------------------- <BR>\n" );
document.write( "b. Assume that the sequence of the number of coupons is geometric. How many coupons did she have after 1 week? after 2 weeks?<BR>\n" );
document.write( "a(1) = 30: a(3) = 240<BR>\n" );
document.write( "a(3) = a(1)*r^2 = 240<BR>\n" );
document.write( "30r^2 = 240<BR>\n" );
document.write( "r^2 = 8<BR>\n" );
document.write( "r = 2sqrt(2)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "after 1 week: 30<BR>\n" );
document.write( "after 2 weeds: 20*2sqrt(2) = 40sqrt(2)<BR>\n" );
document.write( "==========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );