document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826461>Question 826461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) Suppose Tn= a+(n-1)d is an AP with first term \"a\" and difference \"d\". Show that the sequence Un=2^(Tn) is a GP and find its first term and ratio. \r<BR>\n" );
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document.write( "Thanks!! <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500792 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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/cgi-bin/show-face.mpl?user=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5Bn%5D=2%5ET%5Bn%5D=2%5E%28a%2B%28n-1%29%2Ad%29 ALIGN=MIDDLE  ALT=\"U%5Bn%5D=2%5ET%5Bn%5D=2%5E%28a%2B%28n-1%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5Bn%5D=2%5Ea%2A2%5E%28%28n-1%29%2Ad%29=%282%5E%28a-d%29%29%2A2%5E%28n%2Ad%29%0D%0A ALIGN=MIDDLE  ALT=\"U%5Bn%5D=2%5Ea%2A2%5E%28%28n-1%29%2Ad%29=%282%5E%28a-d%29%29%2A2%5E%28n%2Ad%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "take integer k, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5Bk%2B1%5D=2%5Ea%2A2%5E%28k%2Ad%29 ALIGN=MIDDLE  ALT=\"U%5Bk%2B1%5D=2%5Ea%2A2%5E%28k%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5Bk%5D=2%5Ea%2A2%5E%28%28k-1%29%2Ad%29 ALIGN=MIDDLE  ALT=\"U%5Bk%5D=2%5Ea%2A2%5E%28%28k-1%29%2Ad%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the ratio is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U%5Bk%2B1%5D%2FU%5Bk%5D=2%5E%28%28a%2Bkd%29-%28a-d%2Bkd%29%29=2%5Ed ALIGN=MIDDLE  ALT=\"U%5Bk%2B1%5D%2FU%5Bk%5D=2%5E%28%28a%2Bkd%29-%28a-d%2Bkd%29%29=2%5Ed\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "therefore it is geometric with\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B0%5D=2%5E%28a-d%29 ALIGN=MIDDLE  ALT=\"a%5B0%5D=2%5E%28a-d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=2%5Ed ALIGN=MIDDLE  ALT=\"r=2%5Ed\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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