document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84227>Question 84227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anyone have any ideas what this stuff is talking about?  I'm lost, I need helppppp. Please. Thanks in advance\r<BR>\n" );
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document.write( "Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following:<BR>\n" );
document.write( "a) 	What is d, the difference between any two consecutive terms? <BR>\n" );
document.write( "Answer: <BR>\n" );
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document.write( "b) 	Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: <BR>\n" );
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document.write( "c) 	Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms? <BR>\n" );
document.write( "Answer:  <BR>\n" );
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document.write( "d) 	Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?<BR>\n" );
document.write( "Answer:  <BR>\n" );
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document.write( "e) 	What observation can you make about the successive partial sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?<BR>\n" );
document.write( "Answer:  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60655 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=60655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Use the arithmetic sequence of numbers 2, 4, 6, 8,<BR>\n" );
document.write( "10&#65533; to find the following:<BR>\n" );
document.write( "a)What is d, the difference between any 2 terms?<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "Show work in this space.<BR>\n" );
document.write( "D= COMMON DIFFERENCE BETWEEN 2 CONSECUTIVE TERMS<BR>\n" );
document.write( "4-2=6-4=8-6=10-8=2....CONSTANT...THIS IS THE PROPERTY<BR>\n" );
document.write( "OF ARITHMATIC PROGRESSION<BR>\n" );
document.write( "b)Using the formula for the nth term of an arithmetic<BR>\n" );
document.write( "sequence, what is 101st term? Answer:<BR>\n" );
document.write( "Show work in this space.<BR>\n" );
document.write( "TN=A+(N-1)D=2+(N-1)2=2N<BR>\n" );
document.write( "T101=2*101=202<BR>\n" );
document.write( "c)Using the formula for the sum of an arithmetic<BR>\n" );
document.write( "series, what is the sum of the first 20 terms?<BR>\n" );
document.write( "Answer:<BR>\n" );
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document.write( "SN=(N/2){2A+(N-1)D}=(N/2){2*2+(N-1)2}=(N/2)(2N+2)=N^2+N<BR>\n" );
document.write( "S20=20^2+20=420<BR>\n" );
document.write( "d)Using the formula for the sum of an arithmetic<BR>\n" );
document.write( "series, what is the sum of the first 30 terms?<BR>\n" );
document.write( "Answer:<BR>\n" );
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document.write( "S30=30^2+30=930\r<BR>\n" );
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document.write( "e)What observation can you make about these sums of<BR>\n" );
document.write( "this series (HINT: It would be beneficial to find a<BR>\n" );
document.write( "few more sums like the sum of the first 2, then the<BR>\n" );
document.write( "first 3, etc.)?<BR>\n" );
document.write( "Answer: 1.THE SUM IS A QUDRATATIC IN N.<BR>\n" );
document.write( "2.IT IS EQUAL TO THE SUM OF NUMBER OF TERMS AND ITS<BR>\n" );
document.write( "SQUARE\r<BR>\n" );
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