document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885364>Question 885364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many consectives even numbers are there between 35 and 45'<BR>\n" );
document.write( "how many consectives odd numbers are there between 60 and 80'<BR>\n" );
document.write( "what is the difference between two consective even numbers <BR>\n" );
document.write( "what is the difference between two consective odd numbers <BR>\n" );
document.write( "f consective numbers are whole numbers that follow one after another ,what is the sum of the next two consective numbers after 13?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535179 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=535179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the difference between two consecutive even numbers?<BR>\n" );
document.write( "Even numbers are numbers that are multiples of 2.<BR>\n" );
document.write( "You could also say that they are divisible by 2.<BR>\n" );
document.write( "The first one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A2=2 ALIGN=MIDDLE  ALT=\"1%2A2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the next/2nd one is <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;\" > ,<BR>\n" );
document.write( "and the 3rd one (the next one after 4) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2=6 ALIGN=MIDDLE  ALT=\"3%2A2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Counting by 2's you get from one even number to the next one.<BR>\n" );
document.write( "2 and 4 are consecutive even numbers, because 4 is the next even number after 2.<BR>\n" );
document.write( "4 and 6 are consecutive even numbers, because 6 is the next even number after 4.<BR>\n" );
document.write( "That is what consecutive means: one after the other as we count then in order.<BR>\n" );
document.write( "2 and 6 are even numbers, but they are not consecutive even numbers,<BR>\n" );
document.write( "because we skipped 4.<BR>\n" );
document.write( "The difference between two consecutive even numbers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%29 ALIGN=MIDDLE  ALT=\"highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "What is the difference between two consecutive odd numbers?<BR>\n" );
document.write( "It is also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%29 ALIGN=MIDDLE  ALT=\"highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , because the odd numbers are in order<BR>\n" );
document.write( "1, 3, 5, 7, 9, 11, 13, ....<BR>\n" );
document.write( " <BR>\n" );
document.write( "If a problem talks about two consecutive odd (or even) numbers, I would start by defining<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the first of those consecutive odd (or even) numbers.<BR>\n" );
document.write( "Then, I would write that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2 ALIGN=MIDDLE  ALT=\"n%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the next/other consecutive odd (or even) number.<BR>\n" );
document.write( "If a problem talks about three consecutive odd (or even) numbers, I would call them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B2 ALIGN=MIDDLE  ALT=\"n%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%2B2%29%2B2=n%2B4 ALIGN=MIDDLE  ALT=\"%28n%2B2%29%2B2=n%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "How many consecutive even numbers are there between 35 and 45?<BR>\n" );
document.write( "The last/greatest even number before (less than) 45 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44=22%2A2 ALIGN=MIDDLE  ALT=\"44=22%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is the 22nd positive even integer,<BR>\n" );
document.write( "the first one being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=1%2A2 ALIGN=MIDDLE  ALT=\"2=1%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the 17th being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34=17%2A2 ALIGN=MIDDLE  ALT=\"34=17%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "the 18th being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=18%2A2 ALIGN=MIDDLE  ALT=\"36=18%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22 ALIGN=MIDDLE  ALT=\"22\"   DISABLED_style= \"max-width:90%; height:auto;\" > positive integers less than 45 (including 2 and 44}),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17 ALIGN=MIDDLE  ALT=\"17\"   DISABLED_style= \"max-width:90%; height:auto;\" > of them (from 2 to 34) are less than 35.<BR>\n" );
document.write( "The other <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22-17=highlight%285%29 ALIGN=MIDDLE  ALT=\"22-17=highlight%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , starting with 36 and going all the way to 44,<BR>\n" );
document.write( "are between 35 and 45.<BR>\n" );
document.write( "Can we list them and count them to verify?<BR>\n" );
document.write( "Sure we can. They are:<BR>\n" );
document.write( "36, 38, 40, 42, and 44.<BR>\n" );
document.write( "That is indeed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%29 ALIGN=MIDDLE  ALT=\"highlight%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > even numbers between 35 and 45,<BR>\n" );
document.write( "listed in order.<BR>\n" );
document.write( "Are they consecutive? Sure they are.<BR>\n" );
document.write( "They are all the even numbers in order,<BR>\n" );
document.write( "one after the other, without skipping, <BR>\n" );
document.write( " <BR>\n" );
document.write( "How many consecutive odd numbers are there between 60 and 80?<BR>\n" );
document.write( "Just as the first positive even integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=1%2A2 ALIGN=MIDDLE  ALT=\"2=1%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the 30th positive even integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=30%2A2 ALIGN=MIDDLE  ALT=\"60=30%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the first and 30th odd integers are one less than those:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=2-1=1%2A2-1 ALIGN=MIDDLE  ALT=\"1=2-1=1%2A2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59=60-1=30%2A2-1 ALIGN=MIDDLE  ALT=\"59=60-1=30%2A2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Similarly, the 31st odd integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31%2A2-1=62-1=61 ALIGN=MIDDLE  ALT=\"31%2A2-1=62-1=61\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the 40th odd integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2A2-1=80-1=79 ALIGN=MIDDLE  ALT=\"40%2A2-1=80-1=79\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "the 41st odd integer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41%2A2-1=82-1=81 ALIGN=MIDDLE  ALT=\"41%2A2-1=82-1=81\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The odd numbers are there between 60 and 80 start with 61 and end with 79.<BR>\n" );
document.write( "From the fist <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" > odd integers from 1 to 79,<BR>\n" );
document.write( "we have to eliminate the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > (from 1 to 59).<BR>\n" );
document.write( "We are left with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40-30=highlight%2810%29 ALIGN=MIDDLE  ALT=\"40-30=highlight%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Can we list them and count them to verify?<BR>\n" );
document.write( "Sure we can. They are:<BR>\n" );
document.write( "61, 63, 65, 67, 69.<BR>\n" );
document.write( "71, 73, 75, 77, and 79.<BR>\n" );
document.write( "That is indeed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2810%29 ALIGN=MIDDLE  ALT=\"highlight%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > odd numbers between 61 and 79,<BR>\n" );
document.write( "listed in order.<BR>\n" );
document.write( " <BR>\n" );
document.write( "What is the sum of the next two consecutive numbers after 13?<BR>\n" );
document.write( "The number that follows 13 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14 ALIGN=MIDDLE  ALT=\"14\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and after that comes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The sum of the next two consecutive numbers after 13 is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2B14=highlight%2827%29 ALIGN=MIDDLE  ALT=\"13%2B14=highlight%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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