document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82560>Question 82560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP:<BR>\n" );
document.write( "Is my professor unreasonable or am I totally confused?  I answered the other 6 questions, I think I have (math)brain freeze at this point, can you please solve these?  He tried and I simply could not understand.   \r<BR>\n" );
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document.write( "1)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" );
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document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? <BR>\n" );
document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence? <BR>\n" );
document.write( "Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.\r<BR>\n" );
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document.write( "5) 	Logarithms:<BR>\n" );
document.write( " a) 	Using a calculator, find log 10000 where log means log to the base of 10. \r<BR>\n" );
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document.write( "Answer:	\r<BR>\n" );
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document.write( "b) 	Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here:<BR>\n" );
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document.write( "Using this formula, find  . Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:	\r<BR>\n" );
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document.write( "Show work in this space	\r<BR>\n" );
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document.write( "This is not from a textbook as far as I know, this is from a written assignment list.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59146 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=59146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?<BR>\n" );
document.write( "Yes, it is a function.<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 sequence? <BR>\n" );
document.write( "Linear because a constant amount is added to form the next term after a given<BR>\n" );
document.write( "term; this corresponds to a linear function where the slope indicates the <BR>\n" );
document.write( "constant change in the y value of the function.<BR>\n" );
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document.write( "Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence? <BR>\n" );
document.write( "Exponential because each term is formed by multiplying the previous term by <BR>\n" );
document.write( "some constant called \"r\"<BR>\n" );
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document.write( "Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.<BR>\n" );
document.write( "Arithmetic: simple interest on money you have invested.<BR>\n" );
document.write( "A(t)= Ao + Aort<BR>\n" );
document.write( "The Ao is the amount you invest.<BR>\n" );
document.write( "The A(t) is its value after t years<BR>\n" );
document.write( "This in linear with a slope of (Aor) and y-intercept of Ao, or at the start\".<BR>\n" );
document.write( "Ao simply means \"the amount you have at time zero<BR>\n" );
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document.write( "Geometric: compound interes on money you have invested:<BR>\n" );
document.write( "A(t)=Ao(1+r/n)^(nt)<BR>\n" );
document.write( "Same as above with \"n\" being the number of times it is compounded each year.<BR>\n" );
document.write( "Since t is in the exponent the function is exponential.<BR>\n" );
document.write( "You start the series with an amount Ao<BR>\n" );
document.write( "At the end of each compounding period you multiply by (1+r/n).<BR>\n" );
document.write( "That is why the series is geometric.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "5) 	Logarithms:<BR>\n" );
document.write( " a) 	Using a calculator, find log 10000 where log means log to the base of 10. \r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "log 10000 = 4<BR>\n" );
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document.write( "b) 	Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown here:<BR>\n" );
document.write( " <BR>\n" );
document.write( "Using this formula, find  . Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:	\r<BR>\n" );
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document.write( "Show work in this space<BR>\n" );
document.write( "Comment: I guess you figured this out yourself.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.	\r<BR>\n" );
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document.write( " </SPAN>\n" );
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