document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893319>Question 893319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is 75 term of sequence 4,7,10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541198 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is an Arithmetic Sequence because the difference between one term and the next is a constant, and equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in general we could write an arithmetic sequence like this:<BR>\n" );
document.write( "{ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bd ALIGN=MIDDLE  ALT=\"a%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B2d ALIGN=MIDDLE  ALT=\"a%2B2d\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B3d ALIGN=MIDDLE  ALT=\"a%2B3d\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ... }\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the first term) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+3 ALIGN=MIDDLE  ALT=\"d+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the \"common difference\" between terms)\r<BR>\n" );
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document.write( "as a rule for any term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D+=+a+%2B+d%28n-1%29 ALIGN=MIDDLE  ALT=\"x%5Bn%5D+=+a+%2B+d%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => we use \"n-1\" because d is not used in the 1st term\r<BR>\n" );
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document.write( "and calculate the 75th term <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bn%5D+=+a+%2B+d%28n-1%29 ALIGN=MIDDLE  ALT=\"x%5Bn%5D+=+a+%2B+d%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B75%5D+=+4+%2B+3%2875-1%29=4%2B3%2A74=4%2B222=226 ALIGN=MIDDLE  ALT=\"x%5B75%5D+=+4+%2B+3%2875-1%29=4%2B3%2A74=4%2B222=226\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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