document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69234>Question 69234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Include the following in your answer: \r<BR>\n" );
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document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? <BR>\n" );
document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series? <BR>\n" );
document.write( "Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49252 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=49252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? <BR>\n" );
document.write( "Let's use an example:<BR>\n" );
document.write( "2,4,6,8,10,12,14,16,etc.<BR>\n" );
document.write( "First Digit = 2<BR>\n" );
document.write( "Second Digit = 4<BR>\n" );
document.write( "(1,2) and (2,4)<BR>\n" );
document.write( "m = 2/1<BR>\n" );
document.write( "y = 2x<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "y = 6<BR>\n" );
document.write( "The line is linear.<BR>\n" );
document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?<BR>\n" );
document.write( "Let's use an example:<BR>\n" );
document.write( "1,3,9,27,81,etc.<BR>\n" );
document.write( "(1,1) and (2,3)<BR>\n" );
document.write( "m = 2/1<BR>\n" );
document.write( "y = 2x - 1<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "y = 5 the value should be 9<BR>\n" );
document.write( "Not Linear<BR>\n" );
document.write( "Quadratic? what is the vertex? let's leave that<BR>\n" );
document.write( "Exponential?<BR>\n" );
document.write( "(0,1/3)<BR>\n" );
document.write( "y = a*b^x<BR>\n" );
document.write( "1/3 = a*1<BR>\n" );
document.write( "y = (1/3)b^x<BR>\n" );
document.write( "1 = (1/3)b<BR>\n" );
document.write( "3 = b<BR>\n" );
document.write( "y = (1/3)(3^x) = 3^(x - 1)<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "y = 3^2 = 9<BR>\n" );
document.write( "The line is exponential.<BR>\n" );
document.write( "The rest is self explanatory. </SPAN>\n" );
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