document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083979>Question 1083979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve this too\r<BR>\n" );
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document.write( "The 14th term of an arithmetic progression is 96 while the 25th term is 173. find the<BR>\n" );
document.write( "a.19th term<BR>\n" );
document.write( "b.sum of 13th and 56th terms </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698053 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=698053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "1.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B14%5D ALIGN=MIDDLE  ALT=\"a%5B14%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+%2B+13%2Ad ALIGN=MIDDLE  ALT=\"a%5B1%5D+%2B+13%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  96,    (1)\r\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B25%5D ALIGN=MIDDLE  ALT=\"a%5B25%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D+%2B+24%2Ad ALIGN=MIDDLE  ALT=\"a%5B1%5D+%2B+24%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 173.    (2)\r\n" );
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document.write( "    ====> Subtract (1) from (2) (both sides). You will get\r\n" );
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document.write( "    24d - 13d = 173 - 96  ---->  11d = 77  ====>  d = 7.\r\n" );
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document.write( "2.  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B19%5D ALIGN=MIDDLE  ALT=\"a%5B19%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B14%5D%2B+5%2Ad ALIGN=MIDDLE  ALT=\"a%5B14%5D%2B+5%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 96 + 5*7 = calculate.\r\n" );
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document.write( "3.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B13%5D+%2B+a%5B56%5D ALIGN=MIDDLE  ALT=\"a%5B13%5D+%2B+a%5B56%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5B14%5D-d%29 ALIGN=MIDDLE  ALT=\"%28a%5B14%5D-d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5B14%5D+%2B+%2856-14%29%2Ad%29 ALIGN=MIDDLE  ALT=\"%28a%5B14%5D+%2B+%2856-14%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (96 - 7) + (96 + 42*7) = calculate.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "There is a bunch of lessons on arithmetic progressions in this site:\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Arithmetic-progressions.lesson>Arithmetic progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/The-proofs-of-the-formulas-for-arithmetic-progressions.lesson>The proofs of the formulas for arithmetic progressions</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Problems-on-arithmetic-progressions.lesson>Problems on arithmetic progressions</A>  \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Word-problems-on-arithmetic-progressions.lesson>Word problems on arithmetic progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/One-characteristic-property-of-arithmetic-progressions.lesson>One characteristic property of arithmetic progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Sequences-and-series/Solved-problems-on-arithmetic-progressions.lesson>Solved problems on arithmetic progressions</A> \r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic <U>\"Arithmetic progressions\"</U>.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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