document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039342>Question 1039342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boy saves Re. 1 on the first day of the month, Rs. 2 on the 2nd day, and so on upto 12 days. How much does he save?\r<BR>\n" );
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document.write( "a. Rs. 4095 b. Rs. 36 c. Rs. 512 d. Can’t be determined<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 #654063 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My guess is that the expected answer is \"a. RS. 4095\",<BR>\n" );
document.write( "but this problem (as stated) is ambiguous, because \"and so on\" can be interpreted two ways.<BR>\n" );
document.write( "Does he save each day Rs. 1 more than the day before?<BR>\n" );
document.write( "Or does he save each day twice as much as the day before?<BR>\n" );
document.write( "Or is the wording purposefully ambiguous?<BR>\n" );
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document.write( "In life (and school) sometimes you have to answer the expected answer, even if it is not the correct answer to the question asked.<BR>\n" );
document.write( "Sometimes you have to lie.<BR>\n" );
document.write( "Sometimes you have to figure out what was the question that was meant to be asked, and answer the question meant, instead of what was asked.<BR>\n" );
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document.write( "The answer to the problem as stated, is d.<BR>\n" );
document.write( "However, was the problem meant to be ambiguous? If so d. is the expected answer.<BR>\n" );
document.write( "Or was the question meant not exactly the one you posted?<BR>\n" );
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document.write( "INTERPRETATION # 1:<BR>\n" );
document.write( "It is a trick question, meant to be ambiguous, and d. is the expected/correct answer.<BR>\n" );
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document.write( "INTERPRETATION # 2:<BR>\n" );
document.write( "The question meant could state that<BR>\n" );
document.write( "\"A boy saves Rs. 1 the first day, Rs. 2 the second day, Rs. 3 the third day, and so on for 12 days.\"<BR>\n" );
document.write( "The boy saves each day Rs. 1 more than the day before.<BR>\n" );
document.write( "The savings form an arithmetic sequence, with<BR>\n" );
document.write( "first term = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=%22Rs.%22 ALIGN=MIDDLE  ALT=\"a%5B1%5D=%22Rs.%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "common difference = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%22Rs.%22 ALIGN=MIDDLE  ALT=\"d=%22Rs.%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In that case,<BR>\n" );
document.write( "last term = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B12%5D=a%5B1%5D%2B%2812-1%29%2Ad=%22Rs.+1%22%2B11%2A%22Rs.+1%22=%22Rs.+12%22 ALIGN=MIDDLE  ALT=\"a%5B12%5D=a%5B1%5D%2B%2812-1%29%2Ad=%22Rs.+1%22%2B11%2A%22Rs.+1%22=%22Rs.+12%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and the sum of the 12 terms is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F2%29%28a%5B1%5D%2Ba%5B12%5D%29=6%28%22Rs.+1%22%2B%22Rs.+12%22%29=6%2A%22Rs.+13%22=%22Rs.+78%22 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since that is not one of the choices given for the answer, that is probably not the right interpretation.<BR>\n" );
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document.write( "INTERPRETATION # 3:<BR>\n" );
document.write( "The question meant could state that<BR>\n" );
document.write( "\"A boy saves Rs. 1 the first day, Rs. 2 the second day, Rs. 4 the third day, and so on for 12 days.\"<BR>\n" );
document.write( "The boy saves each day twice as much as the day before.<BR>\n" );
document.write( "The savings form a geometric sequence, with<BR>\n" );
document.write( "first term = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=%22Rs.%22 ALIGN=MIDDLE  ALT=\"b%5B1%5D=%22Rs.%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "common ratio = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=2 ALIGN=MIDDLE  ALT=\"r=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In that case,<BR>\n" );
document.write( "the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5Eth ALIGN=MIDDLE  ALT=\"n%5Eth\"   DISABLED_style= \"max-width:90%; height:auto;\" > term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Bn%5D=b%5B1%5D%2Ar%5E%28n-1%29 ALIGN=MIDDLE  ALT=\"b%5Bn%5D=b%5B1%5D%2Ar%5E%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the sum of the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > terms is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5Bn%5D=b%5B1%5D%28r%5En-1%29%2F%28r-1%29 ALIGN=MIDDLE  ALT=\"S%5Bn%5D=b%5B1%5D%28r%5En-1%29%2F%28r-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "THat would make the answer<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5B12%5D=%22Rs.+1%22%282%5E12-1%29%2F%282-1%29=%22Rs.+1%22%282096-1%29%2F1=%22Rs.+1%22%2A2095=%22Rs.+2095%22 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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