document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828363>Question 828363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Describe a pattern in each sequence. What are the next two terms of each sequence?\r<BR>\n" );
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document.write( "24, 22, 20, 18, . . .\r<BR>\n" );
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document.write( "Choose one answer.<BR>\n" );
document.write( "a. multiply the previous term by -2; -36, 72	<BR>\n" );
document.write( "b. multiply the previous term by -2; 16, 72	<BR>\n" );
document.write( "c. subtract 2 from the previous term; 16, 14	<BR>\n" );
document.write( "d. add 2 to the previous term; 20, 22\r<BR>\n" );
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document.write( "2. Describe a pattern in each sequence. What are the next two terms of each sequence?\r<BR>\n" );
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document.write( "2, 4, 8, 16, . . .\r<BR>\n" );
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document.write( "Choose one answer.<BR>\n" );
document.write( "a. add 2 to the previous term; 14, 12	<BR>\n" );
document.write( "b. subtract 2 from the previous term; 32, 64	<BR>\n" );
document.write( "c. multiply the previous term by -2; -32, 64	<BR>\n" );
document.write( "d. multiply the previous term by 2; 32, 64\r<BR>\n" );
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document.write( "3. Tell whether the sequence is arithmetic. If it is, what is the common difference?\r<BR>\n" );
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document.write( "15, 19, 23, 27, . . .<BR>\n" );
document.write( "Choose one answer.<BR>\n" );
document.write( "a. yes; 15/19	<BR>\n" );
document.write( "b. yes; 4	<BR>\n" );
document.write( "c. yes; 34	<BR>\n" );
document.write( "d. no\r<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 #499272 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=499272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Describe a pattern in each sequence. What are the next two terms of each sequence? <BR>\n" );
document.write( "24, 22, 20, 18, . . . <BR>\n" );
document.write( "the difference between one term and the next is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-24=-2 ALIGN=MIDDLE  ALT=\"22-24=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22=24-2 ALIGN=MIDDLE  ALT=\"22=24-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > was added to 24 to get 22,<BR>\n" );
document.write( "or if you prefer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > was subtracted from 24 to get 22.<BR>\n" );
document.write( "The pattern continues subtracting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the previous term each time.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-2=20 ALIGN=MIDDLE  ALT=\"22-2=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20-2=18 ALIGN=MIDDLE  ALT=\"20-2=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18-2=16 ALIGN=MIDDLE  ALT=\"18-2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16-2=14 ALIGN=MIDDLE  ALT=\"16-2=14\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so the answer is	<BR>\n" );
document.write( "c. subtract 2 from the previous term; 16, 14	\r<BR>\n" );
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document.write( "2. Describe a pattern in each sequence. What are the next two terms of each sequence? <BR>\n" );
document.write( "2, 4, 8, 16, . . . <BR>\n" );
document.write( "In this case the differences between one term and the next are not the same.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-2=2%7D%7D+but+%7B%7B%7B8-4=4%3C%3E2 ALIGN=MIDDLE  ALT=\"4-2=2%7D%7D+but+%7B%7B%7B8-4=4%3C%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ratios between consecutive terms are the same, though.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F2=2 ALIGN=MIDDLE  ALT=\"4%2F2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F4=2 ALIGN=MIDDLE  ALT=\"8%2F4=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F8=2 ALIGN=MIDDLE  ALT=\"16%2F8=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Each term is double the term before.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2=4 ALIGN=MIDDLE  ALT=\"2%2A2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A4=8 ALIGN=MIDDLE  ALT=\"2%2A4=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A8=16 ALIGN=MIDDLE  ALT=\"2%2A8=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the pattern continues with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A16=32 ALIGN=MIDDLE  ALT=\"2%2A16=32\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A32=64 ALIGN=MIDDLE  ALT=\"2%2A32=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >  , so the answer is<BR>\n" );
document.write( "d. multiply the previous term by 2; 32, 64 <BR>\n" );
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document.write( "3. Tell whether the sequence is arithmetic. If it is, what is the common difference? <BR>\n" );
document.write( "15, 19, 23, 27, . . .<BR>\n" );
document.write( "In an  arithmetic sequence each number is the previous one plus a constant number called the common difference, because the difference between consecutive terms is always that number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19-15=4 ALIGN=MIDDLE  ALT=\"19-15=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23-19=4 ALIGN=MIDDLE  ALT=\"23-19=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27-23=4 ALIGN=MIDDLE  ALT=\"27-23=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > So it is an arithmetic sequence and the common difference is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  , so the answer is<BR>\n" );
document.write( "b. yes; 4	 </SPAN>\n" );
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