document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=514934>Question 514934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The 17th term of an arithmetic progression is 81 and the 33th term is 145. Find a and d\r<BR>\n" );
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document.write( "a=first term<BR>\n" );
document.write( "d=common difference </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343641 by </B><A HREF=/tutors/aboutme.mpl?userid=plover><B>plover(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=plover><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=343641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the data<BR>\n" );
document.write( "let the seventeenth number be x and the 33rd number in the AP be y<BR>\n" );
document.write( "x=a+(n-1)d<BR>\n" );
document.write( "x=a+(17-1)d (since it is given n=17)<BR>\n" );
document.write( "x=a+16d  <BR>\n" );
document.write( "81=a+16d  (1)     (given 17th term is 81)<BR>\n" );
document.write( "Also<BR>\n" );
document.write( "y=a+(33-1)d<BR>\n" );
document.write( "y=a+32d  <BR>\n" );
document.write( "145=a +32d (2)    (given 33rd term is 145)\r<BR>\n" );
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document.write( "(1)-(2)\r<BR>\n" );
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document.write( "81-145=-16d<BR>\n" );
document.write( "-64=-16d<BR>\n" );
document.write( "d=4<BR>\n" );
document.write( "From 1<BR>\n" );
document.write( "81=a+16d<BR>\n" );
document.write( "a=81-16*4<BR>\n" );
document.write( " =81-64<BR>\n" );
document.write( " =17 </SPAN>\n" );
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