document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130236>Question 1130236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lauren is planning to raise her batting average. When she set up her weekly practice schedule, her batting average was 250. Lauren intends to increase her batting average by 5 each week. Find a pattern and write a formula that will give her expected batting average after n weeks.\r<BR>\n" );
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document.write( "a1 =\r<BR>\n" );
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document.write( "d=\r<BR>\n" );
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document.write( "Using the formula, how many weeks will Lauren need to practice if she expects to earn a batting average of 300?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844449 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lauren is planning to raise her batting average. When she set up her weekly practice schedule, her batting average was 250. Lauren intends to increase her batting average by 5 each week. Find a pattern and write a formula that will give her expected batting average after n weeks.<BR>\n" );
document.write( "a1 =<BR>\n" );
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document.write( "Using the formula, how many weeks will Lauren need to practice if she expects to earn a batting average of 300?\r<BR>\n" );
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document.write( "She starts her batting average with 250<BR>\n" );
document.write( "She increases it by 5 every week<BR>\n" );
document.write( "So we use the formula for arithmetic sequence<BR>\n" );
document.write( "We can calculate average by the formula<BR>\n" );
document.write( "tn= a+(n-1)d<BR>\n" );
document.write( "Expected batting average = 350<BR>\n" );
document.write( "a= 250, d=5 and n=? , tn= 350\r<BR>\n" );
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document.write( "350 = 250+(n-1)*5\r<BR>\n" );
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document.write( "350-250 = (n-1)*5\r<BR>\n" );
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document.write( "100/5 = n-1\r<BR>\n" );
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document.write( "20 =n-1\r<BR>\n" );
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document.write( "n=21\r<BR>\n" );
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document.write( "Lauren's expected batting average would be 350 after 21 weeks\r<BR>\n" );
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document.write( " </SPAN>\n" );
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