document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011604>Question 1011604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5. Find ‘a’ and ‘d’ of an A. P., if S11 = 5580, a11 = 360. [ Ans: a = 0, d = 12 ]\r<BR>\n" );
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document.write( "My Answer is coming in decimals...<BR>\n" );
document.write( "Pls let me way out...<BR>\n" );
document.write( "It is a Arithmetic Progression question </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627331 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this  answer  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+0 ALIGN=MIDDLE  ALT=\"a+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+12 ALIGN=MIDDLE  ALT=\"d+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > is incorrect\r<BR>\n" );
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document.write( "to find nth term in an arithmetic sequence you use this formula:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a+%2B+%28n+-+1%29d ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a+%2B+%28n+-+1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and to find the sum of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms in an arithmetic sequence you use this formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you are given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D+=+5580 ALIGN=MIDDLE  ALT=\"S%5B11%5D+=+5580\"   DISABLED_style= \"max-width:90%; height:auto;\" > (sum of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms),and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B11%5D+=+360 ALIGN=MIDDLE  ALT=\"a%5B11%5D+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" > (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11th ALIGN=MIDDLE  ALT=\"11th\"   DISABLED_style= \"max-width:90%; height:auto;\" > term\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+a+%2B+%2811+-+1%29d ALIGN=MIDDLE  ALT=\"360+=+a+%2B+%2811+-+1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+a+%2B+10d ALIGN=MIDDLE  ALT=\"360+=+a+%2B+10d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=360-10d ALIGN=MIDDLE  ALT=\"a=360-10d\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%2811%2F2%29%282a%2B%2811-1%29d%29 ALIGN=MIDDLE  ALT=\"5580=%2811%2F2%29%282a%2B%2811-1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%2811%2F2%29%282a%2B10d%29 ALIGN=MIDDLE  ALT=\"5580=%2811%2F2%29%282a%2B10d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%2811%2Fcross%282%291%29%28cross%282%29a%2Bcross%2810%295d%29 ALIGN=MIDDLE  ALT=\"5580=%2811%2Fcross%282%291%29%28cross%282%29a%2Bcross%2810%295d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=11%28a%2B5d%29 ALIGN=MIDDLE  ALT=\"5580=11%28a%2B5d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580%2F11=a%2B5d ALIGN=MIDDLE  ALT=\"5580%2F11=a%2B5d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5580%2F11-5d ALIGN=MIDDLE  ALT=\"a=5580%2F11-5d\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.2\r<BR>\n" );
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document.write( "from eq.1 and eq.2 we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580%2F11-5d=360-10d ALIGN=MIDDLE  ALT=\"5580%2F11-5d=360-10d\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10d-5d=360-5580%2F11 ALIGN=MIDDLE  ALT=\"10d-5d=360-5580%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d=%28360%2A11%29%2F11-5580%2F11 ALIGN=MIDDLE  ALT=\"5d=%28360%2A11%29%2F11-5580%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d=3960%2F11-5580%2F11 ALIGN=MIDDLE  ALT=\"5d=3960%2F11-5580%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5d=-1620%2F11 ALIGN=MIDDLE  ALT=\"5d=-1620%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=-1620%2F%285%2A11%29 ALIGN=MIDDLE  ALT=\"d=-1620%2F%285%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=-cross%281620%29324%2F%28cross%285%29%2A11%29 ALIGN=MIDDLE  ALT=\"d=-cross%281620%29324%2F%28cross%285%29%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=-324%2F11%29 ALIGN=MIDDLE  ALT=\"highlight%28d=-324%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=360-10%28-324%2F11%29 ALIGN=MIDDLE  ALT=\"a=360-10%28-324%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=360%2B3240%2F11 ALIGN=MIDDLE  ALT=\"a=360%2B3240%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3960%2F11%2B3240%2F11 ALIGN=MIDDLE  ALT=\"a=3960%2F11%2B3240%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=7200%2F11%29 ALIGN=MIDDLE  ALT=\"highlight%28a=7200%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11th ALIGN=MIDDLE  ALT=\"11th\"   DISABLED_style= \"max-width:90%; height:auto;\" > term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a+%2B+%28n+-+1%29d ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a+%2B+%28n+-+1%29d\"   DISABLED_style= \"max-width:90%; height:auto;\" > if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B11%5D=360 ALIGN=MIDDLE  ALT=\"a%5B11%5D=360\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7200%2F11 ALIGN=MIDDLE  ALT=\"a=7200%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=-324%2F11 ALIGN=MIDDLE  ALT=\"d=-324%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+7200%2F11+%2B+%2811-+1%29%28-324%2F11%29 ALIGN=MIDDLE  ALT=\"360+=+7200%2F11+%2B+%2811-+1%29%28-324%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+7200%2F11+%2B+10%28-324%2F11%29 ALIGN=MIDDLE  ALT=\"360+=+7200%2F11+%2B+10%28-324%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+7200%2F11-3240%2F11 ALIGN=MIDDLE  ALT=\"360+=+7200%2F11-3240%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+3960%2F11 ALIGN=MIDDLE  ALT=\"360+=+3960%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+360 ALIGN=MIDDLE  ALT=\"360+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" > which confirms our solution\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=%28n%2F2%29%282a%2B%28n-1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B11%5D=5580 ALIGN=MIDDLE  ALT=\"S%5B11%5D=5580\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7200%2F11 ALIGN=MIDDLE  ALT=\"a=7200%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=-324%2F11 ALIGN=MIDDLE  ALT=\"d=-324%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%2811%2F2%29%282%287200%2F11%29%2B%2811-1%29%28-324%2F11%29%29 ALIGN=MIDDLE  ALT=\"5580=%2811%2F2%29%282%287200%2F11%29%2B%2811-1%29%28-324%2F11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%2811%2F2%29%2814400%2F11%2B10%28-324%2F11%29%29 ALIGN=MIDDLE  ALT=\"5580=%2811%2F2%29%2814400%2F11%2B10%28-324%2F11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%2811%2F2%29%2814400%2F11-3240%2F11%29 ALIGN=MIDDLE  ALT=\"5580=%2811%2F2%29%2814400%2F11-3240%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%2811%2F2%29%2811160%2F11%29 ALIGN=MIDDLE  ALT=\"5580=%2811%2F2%29%2811160%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%28cross%2811%291%2F2%29%2811160%2Fcross%2811%291%29 ALIGN=MIDDLE  ALT=\"5580=%28cross%2811%291%2F2%29%2811160%2Fcross%2811%291%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=%281%2F2%2911160 ALIGN=MIDDLE  ALT=\"5580=%281%2F2%2911160\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=11160%2F2 ALIGN=MIDDLE  ALT=\"5580=11160%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5580=5580 ALIGN=MIDDLE  ALT=\"5580=5580\"   DISABLED_style= \"max-width:90%; height:auto;\" > which confirms our solution\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );