document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34597>Question 34597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a problem my mom gave me and it is driving me crazy.  I am in the 5th grade and in an advanced math class, but I cannot get this.  The problem is to write an algebraic expression that will let me describe a set of data.  The data when plotted on a grid has one row of 3 tiles then three rows of 5 tiles then one row of 3 tiles and then three rows of 5 tiles and keps on repeating.  So the data in two colums (column one being tiles in next row and column two being the total tiles 'so far) is as follows:\r<BR>\n" );
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document.write( "# tiles (Column 1)  Total So Far (Column 2)<BR>\n" );
document.write( "3                     3<BR>\n" );
document.write( "5                     8<BR>\n" );
document.write( "5                     13<BR>\n" );
document.write( "5                     18<BR>\n" );
document.write( "3                     21<BR>\n" );
document.write( "5                     26<BR>\n" );
document.write( "5                     31<BR>\n" );
document.write( "5                     36<BR>\n" );
document.write( "3                     39\r<BR>\n" );
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document.write( "Can you please help me write an algebraic expression to describe the above data?\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20904 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=20904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE MY COMMENTS BELOW...<BR>\n" );
document.write( "This is a problem my mom gave me and it is driving me crazy. I am in the 5th grade and in an advanced math class, but I cannot get this. The problem is to write an algebraic expression that will let me describe a set of data. The data when plotted on a grid has one row of 3 tiles..PUT THE DATA IN A PROPER FORMAT FIRST BASED ON GIVEN DATA.YOUR IDEA OF TABLE IN CLOUMNS AND ROWS IS IN THE RIGHT DIRECTION..BUT YOU MADE SOME ERRORS IN THAT...  <BR>\n" );
document.write( "ROW NUMBER.....NO.OF TILES....LINKAGE BETWEEN ROW NO.& TILES.. CUMULATIVE TILES <BR>\n" );
document.write( "I ROW .........3 TILES.........1*3=3..................................3<BR>\n" );
document.write( "then three rows of 5 tiles <BR>\n" );
document.write( "II ROW.........5 TILES<BR>\n" );
document.write( "III ROW........5 TILES<BR>\n" );
document.write( "IV ROW.........5 TILES.........3*5=15 TILES....................1*3+3*5<BR>\n" );
document.write( "then one row of 3 tiles<BR>\n" );
document.write( "V ROW..........3 TILES.........1*3=3...........................1*3+3*5+1*3<BR>\n" );
document.write( " and then three rows of 5 tiles<BR>\n" );
document.write( "VI ROW.........5 TILES<BR>\n" );
document.write( "VII ROW........5 TILES<BR>\n" );
document.write( "VIII ROW.......5 TILES.........3*5=15..........................1*3+3*5+1*3+3*5<BR>\n" );
document.write( " and keps on repeating<BR>\n" );
document.write( "ETC...ETC....REPEAT..............................1*3+3*5+1*3+3*5+......ETC..<BR>\n" );
document.write( ". So the data in two colums (column one being tiles in next row and column two being the total tiles 'so far) is as follows:NOW LOOK FOR A PATTERN .IT IS QUITE CLEAR....WE HAVE 3+15+3+15.......ETC....<BR>\n" );
document.write( "WE HAVE A MIXED SERIES.....SO NOW WHAT NEXT?<BR>\n" );
document.write( "can you please help me write an algebraic expression to describe the above data?<BR>\n" );
document.write( "WHAT IS MEANT BY THIS?<BR>\n" );
document.write( "ARE WE TO WRITE HOW MANY TILES ARE IN A ROW ?<BR>\n" );
document.write( "OR ARE WE TO WRITE TOTAL HOW MANY TILES ARE USED TILL THAT ROW...OK..LET US DO BOTH?<BR>\n" );
document.write( "SINCE IT IS A MIXED SERIES WE CAN HAVE DIFFERENT FORMULAE FOR DIFFERENT STAGES..<BR>\n" );
document.write( "R1,R5,R9,R13...ETC...HAVE 3 TILES EACH........THIS IS AN ARITHMATIC SEQUENCE WITH A CONSTANT DIFFERENCE<BR>\n" );
document.write( "R1,R5,R9,R13..ETC...CAN BE REPRESENTED BY R(4N-3)WHERE N VARIES FROM 1,2,3,4...ETC..WE GET CORRESPONDINGLY R1,R5,R9,R13<BR>\n" );
document.write( "OFCOURSE THE VALUE IS CONSTANT IT IS 3 ALWAYS..THE NUMBER OF ILES IN THAT ROW..<BR>\n" );
document.write( "NEXT IS<BR>\n" );
document.write( "R2-R4,R6-R8,R10-R12....ETC...HAVE 5 TILES EACH.WITH SAME REASONING AS ABOVE WE CAN SAY FOR R(4N-2),R(4N-1),R(4N)....THE VALUE IS 5 TILES IN EACH ROW..<BR>\n" );
document.write( "NEXT IS CUMULATIVE....THIS INVOVES A FORMULA WHICH YOU MAY TAKE IT OR GRANTED NOW AS YOU ARE I ONLY 5 TH. STD.<BR>\n" );
document.write( "IF ROW NUMBER IS R(4N-3)....THEN CUMULATIVE NUMBER OF TILES IS <BR>\n" );
document.write( "S(4N-3)=3*N+15*(N-1).....YOU CAN CHECK THIS FOR<BR>\n" );
document.write( "N=1....S1.....3*1+15*(1-1)=3...GIVES TOTAL UPTO AND INCLUDING ROW NO.1<BR>\n" );
document.write( "N=2....S5.....3*2+15(2-1)=21...GIVES TOTAL UPTO AND INCLUDING ROW NO.5<BR>\n" );
document.write( "N=3....S9.....3*3+15(3-1)=39....<BR>\n" );
document.write( "IF ROW NUMBER IS R(4N-2)....THEN CUMULATIVE NUMBER OF TILES IS <BR>\n" );
document.write( "S(4N-2)=3*N+15*(N-1)+5....YOU CAN CHECK THIS FOR DIFFERENT VALUES OF N AS ABOVE.\r<BR>\n" );
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document.write( "IF ROW NUMBER IS R(4N-3)....THEN CUMULATIVE NUMBER OF TILES IS <BR>\n" );
document.write( "S(4N-1)=3*N+15*(N-1)+10...YOU CAN CHECK THIS FOR DIFFERENT VALUES OF N AS ABOVE.\r<BR>\n" );
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document.write( "IF ROW NUMBER IS R(4N-3)...THEN CUMULATIVE NUMBER OF TILES IS <BR>\n" );
document.write( "S(4N)=3*N+15*(N-1)+15...YOU CAN CHECK THIS FOR DIFFERENT VALUES OF N AS ABOVE. </SPAN>\n" );
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