document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25541>Question 25541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have an assignment due on arithmetic series of numbers. I have been studying my book and can't seem to figure out what I am supposed to do to make or solve the equations. Is there anyway you can help? Thank you in advance.\r<BR>\n" );
document.write( "\n" );
document.write( "Use the arithmetic series of numbers 1,3,5,7,9,...to find the following:\r<BR>\n" );
document.write( "\n" );
document.write( "What is d, the difference between any 2 numbers?\r<BR>\n" );
document.write( "\n" );
document.write( "Using the formula for the nth term of an arithmetic series, what is 101st term?\r<BR>\n" );
document.write( "\n" );
document.write( "Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?\r<BR>\n" );
document.write( "\n" );
document.write( "Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?\r<BR>\n" );
document.write( "\n" );
document.write( "What observation can you make about these sums of this series(HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3 etc.)?\r<BR>\n" );
document.write( "\n" );
document.write( "I know it seems like a lot but it really is just one problem broken down into several sections. I have no idea how to so this so I would be VERY thankful for any help you can give me.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35795 by </B><A HREF=/tutors/aboutme.mpl?userid=vanetiks><B>vanetiks(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vanetiks><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=35795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:	201<BR>\n" );
document.write( "Show work in this space.	\r<BR>\n" );
document.write( "\n" );
document.write( "fn = 2n - 1<BR>\n" );
document.write( "f101 = 2*101-1 = 201\r<BR>\n" );
document.write( "\n" );
document.write( "Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? <BR>\n" );
document.write( "Answer:	400<BR>\n" );
document.write( "Show work in this space		\r<BR>\n" );
document.write( "\n" );
document.write( "a20 = 2n – 1 = 2*20-1=39\r<BR>\n" );
document.write( "\n" );
document.write( "	Sn = n/2(a1 + an)<BR>\n" );
document.write( "	Sn = n/2(a1 + a20)<BR>\n" );
document.write( "	S20 = 20/2(1 + 39)<BR>\n" );
document.write( "	S20 = 10(40)<BR>\n" );
document.write( "	S20 = 400\r<BR>\n" );
document.write( "\n" );
document.write( "Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms? <BR>\n" );
document.write( "Answer:	900	<BR>\n" );
document.write( "Show work in this space	\r<BR>\n" );
document.write( "\n" );
document.write( "a30 = 2n – 1 = 2*30-1=59\r<BR>\n" );
document.write( "\n" );
document.write( "	Sn = n/2(a1 + an)<BR>\n" );
document.write( "	Sn = n/2(a1 + a30)<BR>\n" );
document.write( "	S30 = 30/2(1 + 59)<BR>\n" );
document.write( "	S30 = 15(60)<BR>\n" );
document.write( "	S30 = 900<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );