document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53618>Question 53618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am totally lost, Please help!!!\r<BR>\n" );
document.write( "\n" );
document.write( "Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? \r<BR>\n" );
document.write( "\n" );
document.write( "Include the following in your answer: \r<BR>\n" );
document.write( "\n" );
document.write( "1.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? \r<BR>\n" );
document.write( "\n" );
document.write( "2.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence? \r<BR>\n" );
document.write( "\n" );
document.write( "3. Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35834 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=35834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? <BR>\n" );
document.write( "It is a function because there is a unique term value corresponding<BR>\n" );
document.write( "to the number of each term.  That means the 1st term has a value,<BR>\n" );
document.write( "the 2nd has a value, etc.<BR>\n" );
document.write( "The function is linear following the form f(n)=d(n-1)+a<BR>\n" );
document.write( "d is the slope.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "2.Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence? <BR>\n" );
document.write( "It is exponential because f(n)=ar^(n-1); the variable is in the exponent.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "3. Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric.<BR>\n" );
document.write( "Simple interest is an arithmetic sequence.<BR>\n" );
document.write( "P, P+I, P+2I, P+3I, etc; where P is the original investment and I is the interest.<BR>\n" );
document.write( "Compound interest is an arithmetic sequence.<BR>\n" );
document.write( "P, P(1+r), P(1+r)^2, P(1+r)^3, etc. <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );