document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549927>Question 549927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write a rule for the nth term of the arithmetic sequence of the followings:\r<BR>\n" );
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document.write( "1. d=4, a14=46\r<BR>\n" );
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document.write( "2. d=5/3, a8=24\r<BR>\n" );
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document.write( "3. d=-6, a12=-4\r<BR>\n" );
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document.write( "4. a5=17, a15=77\r<BR>\n" );
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document.write( "5. a2=-28, a20=52\r<BR>\n" );
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document.write( "6. d=-4.1, a16=48.2\r<BR>\n" );
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document.write( "7. a7=34, a18=122\r<BR>\n" );
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document.write( "much help would be appreciated with full works please, not just the answer. thank you very much for ur help and happy new year as well as merry christmas! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358197 by </B><A HREF=/tutors/aboutme.mpl?userid=prateekagrawal><B>prateekagrawal(56)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prateekagrawal><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=358197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here the formula is\r<BR>\n" );
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document.write( "Tn= a+ (n-1)d<BR>\n" );
document.write( "so, for nth term we need to know first term and d.<BR>\n" );
document.write( "1. d=4, a14=46 \r<BR>\n" );
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document.write( "here n=14, tn= 46 and d=4<BR>\n" );
document.write( "so,\r<BR>\n" );
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document.write( "46 = a+(14-1)*4 = a+13*4<BR>\n" );
document.write( "46= a+ 52<BR>\n" );
document.write( "so, a= -6\r<BR>\n" );
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document.write( "so, nth term is Tn= -4 +(n-1)4<BR>\n" );
document.write( "or,<BR>\n" );
document.write( "Tn= -4+4n-4<BR>\n" );
document.write( "Tn= 4n-8<BR>\n" );
document.write( "or<BR>\n" );
document.write( "an= 4n-8\r<BR>\n" );
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document.write( "Tn and an are notations for nth term only.<BR>\n" );
document.write( "in the same way we can do other parts of this also. </SPAN>\n" );
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