document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39485>Question 39485</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279085/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 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 #24931 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=24931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the index of a series as the domain and the value of the series as the range, is a series a function? <BR>\n" );
document.write( "Yes, because each index value(The number of the term) there is one value(the <BR>\n" );
document.write( "term itself).<BR>\n" );
document.write( "Include the following in your answer: <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( "Linear because each successive term has a common difference.  This difference<BR>\n" );
document.write( "corresponds to the slope of a linear function.\r<BR>\n" );
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document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series? a(n)=[a(1)]r^(n-1) indecating a consistent<BR>\n" );
document.write( "multiply of the 1st term be successive powers of the ratio r.<BR>\n" );
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document.write( "Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.<BR>\n" );
document.write( "Arithmetic: Cost associated with a quantity of a particular item.<BR>\n" );
document.write( "For example Cost = 10x is the cost of x-number of an item that cost $10.<BR>\n" );
document.write( "Personal impact.  Buy more of a kind and it will cost you more.<BR>\n" );
document.write( "Geometric: Value of a money account after n periods of compounding at annual interest \"i\".<BR>\n" );
document.write( "Value=(initial investment)(1+i)^(n)<BR>\n" );
document.write( "Very important to understand the powerful building power of compounded savings.<BR>\n" );
document.write( "For example of the $22 given to the American Indians for the right of Dutch <BR>\n" );
document.write( "settlers to stay on Manhatten Island had been invested in a compound interest<BR>\n" );
document.write( "account at that time it would be worth enough now to purchase all the property<BR>\n" );
document.write( "on Manhattan Island.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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