document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133619>Question 133619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.How i find smallest positive number in the A.P 500,493,486,479......<BR>\n" );
document.write( "2.How I find the smallest number of terms of A.P -54,-52.5,-51,-49.5..which musr be taken for the sum of the terms to be positive.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97761 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=97761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not sure what A.P means. But for the series in number 1, each successive number is 7 less than the previous number. So, if you divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F7 ALIGN=MIDDLE  ALT=\"500%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you get the number of items in the series that are greater than 0. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F7 ALIGN=MIDDLE  ALT=\"500%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 71. take <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2A7 ALIGN=MIDDLE  ALT=\"71%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get 497. The last positive term would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500-%2871%2A7%29 ALIGN=MIDDLE  ALT=\"500-%2871%2A7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.\r<BR>\n" );
document.write( "\n" );
document.write( "Likewise for problem 2, each item in 1.5 greater than the previous item. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F%281.5%29 ALIGN=MIDDLE  ALT=\"54%2F%281.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 36. The 36th entry is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-54+%2B+%2836%2A1.5%29+ ALIGN=MIDDLE  ALT=\"-54+%2B+%2836%2A1.5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0. Since 0 is neither positive or negative, take one more step of 1.5. <BR>\n" );
document.write( "Answer is 36+1 = 37 steps </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );