document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828528>Question 828528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which term of an Arithemitc sequence 3,15,27,.......... Will be 132  more than it's 51 term  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499366 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> MENTAL MATH ANSWER FOR MULTIPLE CHOICE TEST:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27-15=12 ALIGN=MIDDLE  ALT=\"27-15=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-3=12 ALIGN=MIDDLE  ALT=\"15-3=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the common difference is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Starting from the 51st term, to get to the next (52nd) term you have to add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > once.<BR>\n" );
document.write( "If you add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > two times you get to the 53rd term, the term that's 2 terms after the 51st term.<BR>\n" );
document.write( "132 ÷ 12 = 11  <---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2A12+=+132 ALIGN=MIDDLE  ALT=\"11%2A12+=+132\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so adding 132 to the 51st term is adding 12 to the 51st 11 times,<BR>\n" );
document.write( "and that gets you the value of the the term number<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51%2B11=highlight%2862%29 ALIGN=MIDDLE  ALT=\"51%2B11=highlight%2862%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "FANCY \"SHOW YOUR WORK ANSWER\":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=3 ALIGN=MIDDLE  ALT=\"a%5B1%5D=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=15 ALIGN=MIDDLE  ALT=\"a%5B2%5D=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D=27 ALIGN=MIDDLE  ALT=\"a%5B3%5D=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bx%5D=a%5B51%5D%2B132 ALIGN=MIDDLE  ALT=\"a%5Bx%5D=a%5B51%5D%2B132\"   DISABLED_style= \"max-width:90%; height:auto;\" > find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=a%5B2%5D-a%5B1%5D=15-3=12 ALIGN=MIDDLE  ALT=\"d=a%5B2%5D-a%5B1%5D=15-3=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bm%5D=a%5B1%5D%2B%28m-1%29%2Ad ALIGN=MIDDLE  ALT=\"a%5Bm%5D=a%5B1%5D%2B%28m-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bm%5D-a%5Bn%5D=a%5B1%5D%2B%28m-1%29%2Ad-%28a%5B1%5D%2B%28n-1%29%2Ad%29 ALIGN=MIDDLE  ALT=\"a%5Bm%5D-a%5Bn%5D=a%5B1%5D%2B%28m-1%29%2Ad-%28a%5B1%5D%2B%28n-1%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bm%5D-a%5Bn%5D=a%5B1%5D%2B%28m-1%29%2Ad-a%5B1%5D-%28n-1%29%2Ad%29 ALIGN=MIDDLE  ALT=\"a%5Bm%5D-a%5Bn%5D=a%5B1%5D%2B%28m-1%29%2Ad-a%5B1%5D-%28n-1%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bm%5D-a%5Bn%5D=%28m-1%29%2Ad-%28n-1%29%2Ad%29 ALIGN=MIDDLE  ALT=\"a%5Bm%5D-a%5Bn%5D=%28m-1%29%2Ad-%28n-1%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bm%5D-a%5Bn%5D=%28%28m-1%29-%28n-1%29%29%2Ad%29 ALIGN=MIDDLE  ALT=\"a%5Bm%5D-a%5Bn%5D=%28%28m-1%29-%28n-1%29%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bm%5D-a%5Bn%5D=%28m-1-n%2B1%29%2Ad%29 ALIGN=MIDDLE  ALT=\"a%5Bm%5D-a%5Bn%5D=%28m-1-n%2B1%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bm%5D-a%5Bn%5D=%28m-n%29%2Ad%29 ALIGN=MIDDLE  ALT=\"a%5Bm%5D-a%5Bn%5D=%28m-n%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bx%5D=a%5B51%5D%2B%28x-51%29%2A12%29 ALIGN=MIDDLE  ALT=\"a%5Bx%5D=a%5B51%5D%2B%28x-51%29%2A12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D%2B%28x-51%29%2A12%29=a%5B51%5D%2B132 ALIGN=MIDDLE  ALT=\"a%5B51%5D%2B%28x-51%29%2A12%29=a%5B51%5D%2B132\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-51%29%2A12%29=132 ALIGN=MIDDLE  ALT=\"%28x-51%29%2A12%29=132\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-51=132%2F12 ALIGN=MIDDLE  ALT=\"x-51=132%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-51=11 ALIGN=MIDDLE  ALT=\"x-51=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=51%2B11 ALIGN=MIDDLE  ALT=\"x=51%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=62%29 ALIGN=MIDDLE  ALT=\"highlight%28x=62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "ONE EXPECTED \"SHOW YOUR WORK ANSWER\":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=3 ALIGN=MIDDLE  ALT=\"a%5B1%5D=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=15 ALIGN=MIDDLE  ALT=\"a%5B2%5D=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D=27 ALIGN=MIDDLE  ALT=\"a%5B3%5D=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bx%5D=a%5B51%5D%2B132 ALIGN=MIDDLE  ALT=\"a%5Bx%5D=a%5B51%5D%2B132\"   DISABLED_style= \"max-width:90%; height:auto;\" > find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=a%5B2%5D-a%5B1%5D=15-3=12 ALIGN=MIDDLE  ALT=\"d=a%5B2%5D-a%5B1%5D=15-3=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D=3%2B%2851-1%29%2A12 ALIGN=MIDDLE  ALT=\"a%5B51%5D=3%2B%2851-1%29%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D=3%2B50%2A12 ALIGN=MIDDLE  ALT=\"a%5B51%5D=3%2B50%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D=3%2B600 ALIGN=MIDDLE  ALT=\"a%5B51%5D=3%2B600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bx%5D=3%2B%28x-1%29%2A12 ALIGN=MIDDLE  ALT=\"a%5Bx%5D=3%2B%28x-1%29%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bx%5D-a%5B51%5D=3%2B%28x-1%29%2A12-%283%2B600%29 ALIGN=MIDDLE  ALT=\"a%5Bx%5D-a%5B51%5D=3%2B%28x-1%29%2A12-%283%2B600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B%28x-1%29%2A12-%283%2B600%29=132 ALIGN=MIDDLE  ALT=\"3%2B%28x-1%29%2A12-%283%2B600%29=132\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2A12-600=132 ALIGN=MIDDLE  ALT=\"%28x-1%29%2A12-600=132\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2A12=600%2B132 ALIGN=MIDDLE  ALT=\"%28x-1%29%2A12=600%2B132\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2A12=732 ALIGN=MIDDLE  ALT=\"%28x-1%29%2A12=732\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1=732%2F12 ALIGN=MIDDLE  ALT=\"x-1=732%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1=61 ALIGN=MIDDLE  ALT=\"x-1=61\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=61%2B1 ALIGN=MIDDLE  ALT=\"x=61%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=62%29 ALIGN=MIDDLE  ALT=\"highlight%28x=62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that this answer included harder and unnecessary calculations.<BR>\n" );
document.write( "If you like numbers better than symbols you can more unnecessary calculations, as in the solution below.<BR>\n" );
document.write( " <BR>\n" );
document.write( "ARITHMETIC-LOVER SOLUTION:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=3 ALIGN=MIDDLE  ALT=\"a%5B1%5D=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B2%5D=15 ALIGN=MIDDLE  ALT=\"a%5B2%5D=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B3%5D=27 ALIGN=MIDDLE  ALT=\"a%5B3%5D=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bx%5D=a%5B51%5D%2B132 ALIGN=MIDDLE  ALT=\"a%5Bx%5D=a%5B51%5D%2B132\"   DISABLED_style= \"max-width:90%; height:auto;\" > find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=a%5B2%5D-a%5B1%5D=15-3=12 ALIGN=MIDDLE  ALT=\"d=a%5B2%5D-a%5B1%5D=15-3=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad ALIGN=MIDDLE  ALT=\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D=3%2B%2851-1%29%2A12 ALIGN=MIDDLE  ALT=\"a%5B51%5D=3%2B%2851-1%29%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D=3%2B50%2A12 ALIGN=MIDDLE  ALT=\"a%5B51%5D=3%2B50%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D=3%2B600 ALIGN=MIDDLE  ALT=\"a%5B51%5D=3%2B600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B51%5D=603 ALIGN=MIDDLE  ALT=\"a%5B51%5D=603\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bx%5D=3%2B%28x-1%29%2A12%7D%7D%0D%0A%7B%7B%7B3%2B%28x-1%29%2A12=603%2B132%7D%7D%0D%0A%7B%7B%7B3%2B%28x-1%29%2A12=735%7D%7D%0D%0A%7B%7B%7B%28x-1%29%2A12=735-3%7D%7D%0D%0A%7B%7B%7B%28x-1%29%2A12=732%7D%7D%0D%0A%7B%7B%7Bx-1=732%2F12 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1=61 ALIGN=MIDDLE  ALT=\"x-1=61\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=61%2B1 ALIGN=MIDDLE  ALT=\"x=61%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=62%29 ALIGN=MIDDLE  ALT=\"highlight%28x=62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );