document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193591>Question 1193591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of this series that is not arithmetic or geometric,<BR>\n" );
document.write( "1+2+4+5+7+8....+95+97+98\r<BR>\n" );
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document.write( "can someone help, a few of us have been trying to figure this out, our teacher said its solvable but I don't even know where to start, thankyou </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825637 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=825637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Hint:\r<BR>\n" );
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document.write( "Notice the odd-numbered terms (first, third, fifth, etc) follow this sequence 1, 4, 7, ...<BR>\n" );
document.write( "While the even-numbered terms (second, fourth, sixth, etc) follow this sequence 2, 5, 8, ...\r<BR>\n" );
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document.write( "Both subsequences are arithmetic and have a common difference of d = 3 but different starting values of <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;\" ><BR>\n" );
document.write( "Find the nth term formula for each using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D+=+a%5B1%5D%2Bd%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D+=+a%5B1%5D%2Bd%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as your template.<BR>\n" );
document.write( "The nth term formulas will help determine where the 95, 97 and 98 end up; thereby determining how many terms are in each subsequence (i.e. the value of n).\r<BR>\n" );
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document.write( "Afterward, use the formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D+=+%28n%2F2%29%2A%28a%5B1%5D%2Ba%5Bn%5D%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D+=+%28n%2F2%29%2A%28a%5B1%5D%2Ba%5Bn%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to find the sum of the first n terms for each arithmetic subsequence.<BR>\n" );
document.write( "The final task is to add the two resulting sums to get your final answer.\r<BR>\n" );
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document.write( "If you have further questions, then please let me know. Or feel free to post again on the algebra.com website<BR>\n" );
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