document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986399>Question 986399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help with this question. <BR>\n" );
document.write( "Find the sum of 34+35+36+37+...+102+103<BR>\n" );
document.write( "I have been trying to figure it out, but now I am just getting frustrated. Please help me step by step on what I am actually supposed to do! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607168 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=607168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is an arithmetic sequence with common difference of d = 1. The first term is a = 34\r<BR>\n" );
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document.write( "Subtract the last term and first term to get: 103-34 = 69. Add on 1 to get 69+1 = 70. So there are 70 terms in the summation above. This means n = 70\r<BR>\n" );
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document.write( "We have these three values<BR>\n" );
document.write( "a = 34<BR>\n" );
document.write( "d = 1<BR>\n" );
document.write( "n = 70\r<BR>\n" );
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document.write( "Plug them into the arithmetic sum formula. Doing all that will give you\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+%28n%2A%282%2Aa%2Bd%2A%28n-1%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+%28n%2A%282%2Aa%2Bd%2A%28n-1%29%29%29%2F2\"   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%5B70%5D+=+%2870%2A%282%2A34%2B1%2A%2870-1%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"S%5B70%5D+=+%2870%2A%282%2A34%2B1%2A%2870-1%29%29%29%2F2\"   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%5B70%5D+=+4795 ALIGN=MIDDLE  ALT=\"S%5B70%5D+=+4795\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the end, 34+35+36+37+...+102+103 = <font color=\"red\">4,795</font>\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "If you need more help, or if you have any questions about the problem, feel free to email me at <font color=\"blue\"><code>jim_thompson5910@hotmail.com</code></font> </SPAN>\n" );
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