document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215264>Question 215264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> really struggling with this ... have done the rest of homework but cant understand when its minus figures of a no. sequence. \r<BR>\n" );
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document.write( "sequence is 10, 6,2,-2,-6.  I have to find the nth term, the 12th term and 27th term.  PLease help and possibly explain how its done.  Thank you so much.  Need it tonight.  THank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162649 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sequence is 10, 6,2,-2,-6.  I have to find the nth term, the 12th term and 27th term.\r<BR>\n" );
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document.write( "Step 1.  Look for a pattern.  Difference between 10 and 6 is 4.  The difference of 6 and 2 is also 4.  Difference between 2 and -2 is also four, and the difference between -2 and -6 is four.  \r<BR>\n" );
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document.write( "Step 2.  So first term is 10 need to subtract 4 to get 6. 10 - 4(n-1) where n=2 for 6.  \r<BR>\n" );
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document.write( "Step 3.  See if  the formula works for the rest of the sequence.  10-4(n-1)= 10-4n-1=11-4n (as we mention in Step 1, the difference is 4.  Now we know the first term is 10 so when n is 1 we get 10 since 10-4(1-1)=10.  When n is 2, we get 6 since 10-4(2-1)=6. When n is 3, we get 10-4*(3-1)=-2.  For n=4, we get 10-4*(4-1)=-6. So the formula works. \r<BR>\n" );
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document.write( "Step 4.  ANSWER:  The equation for the sequence is 10-4(n-1) or 11-4n\r<BR>\n" );
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document.write( "Step 5.  ANSWER.  For n=12, then 11-4n=11-4*12=-37\r<BR>\n" );
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document.write( "Step 5.  ANSWER:  For n=27, then 11-4n=11-4*27=-97\r<BR>\n" );
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document.write( "I hope the above steps were helpful. \r<BR>\n" );
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document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( " </SPAN>\n" );
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