document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696996>Question 696996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two APs have the same common difference.The difference between their 100th term is100, what is the difference between their 1000th term? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429563 by </B><A HREF=/tutors/aboutme.mpl?userid=god2012><B>god2012(113)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=god2012><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=god2012><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=429563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the first AP is represented as TA = a1 + (n1-1)d , where a is the first term and d is the common difference , n1 is the number of terms in AP1.<BR>\n" );
document.write( "Let the second AP be represented as TB = a2 + (n2-1)d.\r<BR>\n" );
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document.write( "Now ,\r<BR>\n" );
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document.write( "100th term of TA is TA100  = a1 + 99d<BR>\n" );
document.write( "Similarly, 100th term of TB is TB100 = a2+99d\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=TB100-TA100+=+%28a2-a1%29+=+100 ALIGN=MIDDLE  ALT=\"TB100-TA100+=+%28a2-a1%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=TA1000+-+TB1000+=+%28a2%2B999d%29-%28a1%2B999d%29 ALIGN=MIDDLE  ALT=\"TA1000+-+TB1000+=+%28a2%2B999d%29-%28a1%2B999d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The difference is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a2-a1%29+=+100 ALIGN=MIDDLE  ALT=\"%28a2-a1%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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