document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28231>Question 28231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem gives a chart of numbers with a difference of the same number- a pattern.ie. 14-1,12-2,10-3,8-4,etc. The first numbers are variable Y, and the 2nd numbers are var.X, ie.14=Y and 1=X. HOw do I find a formula for this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15372 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem gives a chart of numbers with a difference of the same number- a pattern.ie. 14-1,12-2,10-3,8-4,etc. The first numbers are variable Y, and the 2nd numbers are var.X, ie.14=Y and 1=X. HOw do I find a formula for this?<BR>\n" );
document.write( "IN SUCH PROBLEMS LOOK FOR A PATTERN...AS YOU POINTED OUT IT IS HAVING Y-X PATTERN...OK...<BR>\n" );
document.write( "NOW LOOK AT NUMERS IN Y POSITION...THEY ARE <BR>\n" );
document.write( "14,12,10,8 ETC....THEY ARE DECRESING BY 2 AT EVERY STEP STARTING FROM ..IT IS CALLED ARITHMATIC PROGRESSION WITH FIRST TERM AS 14 AND COMMON DIFFERENCE AS -2<BR>\n" );
document.write( "SO ITS GENERAL TERM IS 14+(N-1)(-2)=14-2N+2=16-2N...YOU CAN CHECK THIS BY SUBSTITUTING N=1,2,3 ETC...TO GET 14,12,10 ETC...<BR>\n" );
document.write( "SIMILARLY FOR NUMBERS IN X POSITION THE GENERAL TERM IS  N...SO...<BR>\n" );
document.write( " Y-X ...IS.....16-2N-N=16-3N<BR>\n" );
document.write( "SO GENERAL FORMULA FOR N TH. TERM IS 16-3N.....LET US CHECK....<BR>\n" );
document.write( "N=1............13<BR>\n" );
document.write( "N=2............10<BR>\n" );
document.write( "N=3............7...ETC... </SPAN>\n" );
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