document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066076>Question 1066076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the missing terms of the arithmetic sequence...\r<BR>\n" );
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document.write( "27, ?, ?, ?, 53,...\r<BR>\n" );
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document.write( "Show each step of the process clearly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681265 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for the nth term of an arithmetic sequence is<BR>\n" );
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document.write( "a(n) = a(1) +d(n-1) where a(1) is the first term and d is the common difference<BR>\n" );
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document.write( "we have two formulas in two unknowns<BR>\n" );
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document.write( "1) 27 = a(1) +d(1-1)<BR>\n" );
document.write( "2) 53 = a(1) +d((5-1)<BR>\n" );
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document.write( "from equation 1), we have a(1) = 27<BR>\n" );
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document.write( "substitute 27 for a(1) in equation 2<BR>\n" );
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document.write( "53 = 27 +4d<BR>\n" );
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document.write( "4d = 26<BR>\n" );
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document.write( "d = 6.5<BR>\n" );
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document.write( "a(2) = 27 +6.5(2-1) = 33.5<BR>\n" );
document.write( "a(3) = 27 +6.5(3-1) = 40<BR>\n" );
document.write( "a(4) = 27 +6.5(4-1) = 46.5<BR>\n" );
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document.write( "completed sequence is<BR>\n" );
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document.write( "27, 33.5, 40, 46.5, 53<BR>\n" );
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document.write( " </SPAN>\n" );
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