document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031545>Question 1031545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sequence is a function with domain the natural numbers 1,2,3,.... Using function notation, you can write the sequence  an= a1+(n-1)d as an=a1+(n-1)d  and the sequence an=a1r^n-1 as a(n)=a1r^n-1<BR>\n" );
document.write( "a. s a(n)=a1+(n-1)d a linear function ? Explain, if not how can you adjust its definition so that it is a linear function ? What is the slope?<BR>\n" );
document.write( "b.what type of function does an=a1r^n-1 suggest? To what family of functions does this function belong?  explain how its related to the parent function  os that family. Draw that graph.<BR>\n" );
document.write( "c. what type of function is suggested by the sum sequence sn=a1(1-r^n)/1-r ?By sn= n/2 (a1 + a(n))? explan each answer  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646229 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=646229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sequence is a function with domain the natural numbers 1,2,3,.... Using function notation, you can write the sequence an= a1+(n-1)d as an=a1+(n-1)d and the sequence an=a1r^n-1 as a(n)=a1r^n-1<BR>\n" );
document.write( "a. s a(n)=a1+(n-1)d a linear function ? Explain, if not how can you adjust its definition so that it is a linear function ? What is the slope?<BR>\n" );
document.write( "a(n) = (n-1)d + a(1)<BR>\n" );
document.write( "slope = (n-1)<BR>\n" );
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document.write( "b.what type of function does an=a1r^n-1 suggest? To what family of functions does this function belong? explain how its related to the parent function in that family. Draw that graph.<BR>\n" );
document.write( "a(n) = a(1)*r^(n-1)<BR>\n" );
document.write( "Exponential<BR>\n" );
document.write( "Because the exponent is n-1, the parent function is moved 1 unit to the right.<BR>\n" );
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document.write( "c. what type of function is suggested by the sum sequence sn=a1(1-r^n)/1-r ?By sn= n/2 (a1 + a(n))? explan each answer<BR>\n" );
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document.write( "s(n) = (n/2)*a(n) + a(1)/2<BR>\n" );
document.write( "Linear with slope = (n/2) and intercept = a(1)/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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