document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164237>Question 1164237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A geometric progression has 6 terms. The first term is 192 and the common<BR>\n" );
document.write( "ratio is 1.5. An arithmetic progression has 21 terms and common difference 1.5.<BR>\n" );
document.write( "Given that the sum of all the terms in the geometric progression is equal to the<BR>\n" );
document.write( "sum of all the terms in the arithmetic progression, find the first term and the last<BR>\n" );
document.write( "term of the arithmetic progression. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788554 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I will let you have the pleasure of doing the calculations yourself....<br><BR>\n" );
document.write( "(1) Find the 6 terms of the geometric progression.  A calculator should make it easy; or an excel spreadsheet.  Or you might be able to do it with mental arithmetic.<br><BR>\n" );
document.write( "(2) Find the sum of those 6 terms.<br><BR>\n" );
document.write( "(3) Divide that sum by the number of terms in the arithmetic progression, 21.  That will give you the average of all the terms in the arithmetic progression.<br><BR>\n" );
document.write( "(4) In an arithmetic progression of 21 terms the 11th term is the average of all the terms.  So you know the 11th term.<br><BR>\n" );
document.write( "(5) Add 10 times the common difference to the 11th term to find the 21st (last) term; subtract 10 time the common difference from the 11th term to find the first term.<br><BR>\n" );
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