document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694434>Question 694434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello I had a question regarding arithmetic sequences. <BR>\n" );
document.write( "Here we have 1+3+5+...+915.<BR>\n" );
document.write( "How would I find the sum using a formula?<BR>\n" );
document.write( "Thank You all for your time to help and teach.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427951 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=427951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Hello I had a question regarding arithmetic sequences. <BR>\n" );
document.write( "Here we have 1+3+5+...+915.<BR>\n" );
document.write( "How would I find the sum using a formula?<BR>\n" );
document.write( "Thank You all for your time to help and teach. \r<BR>\n" );
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document.write( "This problem can be solved by using the number of numbers formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28a%5Bn%5D+-+a%5B1%5D%29%2F2+%2B+1 ALIGN=MIDDLE  ALT=\"n+=+%28a%5Bn%5D+-+a%5B1%5D%29%2F2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, first, to determine the number of numbers, or \"n,\" with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > being the first term, and = 1, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D ALIGN=MIDDLE  ALT=\"a%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > being the last term, and = 915.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28915+-+1%29%2F2+%2B+1 ALIGN=MIDDLE  ALT=\"n+=+%28915+-+1%29%2F2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28914%2F2%29+%2B+1 ALIGN=MIDDLE  ALT=\"n+=+%28914%2F2%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+457+%2B+1 ALIGN=MIDDLE  ALT=\"n+=+457+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+458 ALIGN=MIDDLE  ALT=\"n+=+458\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The formula for sum of an arithmetic sequence, or A.P. is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+S%5B458%5D ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+S%5B458%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, 1st term, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1; n, or amount of terms to be summed = 458, and d, or common difference = 2<BR>\n" );
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document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B458%5D+=+%28458%2F2%29%282%281%29+%2B+%28458+-+1%292%29 ALIGN=MIDDLE  ALT=\"S%5B458%5D+=+%28458%2F2%29%282%281%29+%2B+%28458+-+1%292%29\"   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=S%5B458%5D+=+229%282+%2B+%28457%292%29 ALIGN=MIDDLE  ALT=\"S%5B458%5D+=+229%282+%2B+%28457%292%29\"   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=S%5B458%5D+=+229%282+%2B+914%29 ALIGN=MIDDLE  ALT=\"S%5B458%5D+=+229%282+%2B+914%29\"   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=S%5B458%5D+=+229%28916%29 ALIGN=MIDDLE  ALT=\"S%5B458%5D+=+229%28916%29\"   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=S%5B458%5D ALIGN=MIDDLE  ALT=\"S%5B458%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or sum of the 458 terms in the series = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28209764%29 ALIGN=MIDDLE  ALT=\"highlight_green%28209764%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can do the check!!\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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