document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39453>Question 39453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. I do not understand at all. Thanks for all the help.<BR>\n" );
document.write( "Details: Using the index of a series as the domain and the value of the series as the range, is a series a function? \r<BR>\n" );
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document.write( "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 #24890 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=24890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, these are functions.<BR>\n" );
document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?<BR>\n" );
document.write( "I would suggest an arithmetic series to be a linear function. In arithmetic sequences, you would either add or subtract to get the value. In linear functions, addition and subtraction is due to the slope.<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( "For this, I think it is represented by the exponential function. The standard form for the exponential function is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28b%5Ex%29 ALIGN=MIDDLE  ALT=\"y+=+a%28b%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The standard form for geometric sequences is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=an+=+a%28r%5E%28n-1%29%29 ALIGN=MIDDLE  ALT=\"an+=+a%28r%5E%28n-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. They look quite alike.<BR>\n" );
document.write( "An example of the arithmetic sequences could be to determine pay. If you get payed five bucks a week, you can determine how much you make a month or a year.<BR>\n" );
document.write( "An example of the geometric sequences could be to determine height of a bouncy ball. If a ball's height after being dropped reduces (1/3) as a ratio to its previous bounce, you can determine its height after <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > amount of bounces. </SPAN>\n" );
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