tag:blogger.com,1999:blog-5730391.post6903626265634811247..comments2018-07-15T11:36:55.318-07:00Comments on Blaine's Puzzle Blog: Friday Fun: What's the next number in the sequence?Blainehttp://www.blogger.com/profile/06379274325110866036noreply@blogger.comBlogger10125tag:blogger.com,1999:blog-5730391.post-33493323417328558642010-02-04T16:37:12.870-08:002010-02-04T16:37:12.870-08:00Indeed.
The sequence reads 1 3 7 12 18 26 35 45....Indeed. <br />The sequence reads 1 3 7 12 18 26 35 45... <br />The differences are 2 4 5 6 8 9 10...<br /><br />The point is every number not in the sequence itself appears among the differences. This property (together with the fact that both the sequence and the sequence of first differences are increasing) defines the <a href="http://www.research.att.com/~njas/sequences/A005228" rel="nofollow">sequence</a>!Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-20077434465902385562010-01-30T20:12:52.863-08:002010-01-30T20:12:52.863-08:00the 14,15,,16 numbers are: 131, 150 170the 14,15,,16 numbers are: 131, 150 170ajeethttps://www.blogger.com/profile/13684909316285426057noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-70498339671101299272009-05-14T21:03:00.000-07:002009-05-14T21:03:00.000-07:00Blaine’s reply to Natasha tells me I got it correc...Blaine’s reply to Natasha tells me I got it correct. I thought I must be wrong because the answer was so easy. It took me less than 60 seconds to see this pattern.Jonhttps://www.blogger.com/profile/10287612298414689128noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-51790741329691096882009-04-26T09:17:00.000-07:002009-04-26T09:17:00.000-07:00Are you reading between the lines?Are you reading between the lines?Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-83450286880411589072009-04-21T23:31:00.000-07:002009-04-21T23:31:00.000-07:00Natasha is correct.Natasha is correct.Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-69945524005990254712009-04-21T16:44:00.000-07:002009-04-21T16:44:00.000-07:00I believe the 11, 12, 13 numbers are : 83, 98, 114...I believe the 11, 12, 13 numbers are : 83, 98, 114Natashahttps://www.blogger.com/profile/14139505187498448200noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-68497818726912385332009-03-29T12:09:00.000-07:002009-03-29T12:09:00.000-07:00The sum of the 21st term's factors coincidentally ...The sum of the 21st term's factors coincidentally correspond to another number.hughhttps://www.blogger.com/profile/16914509834442545746noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-25715555024318535732009-03-29T11:46:00.000-07:002009-03-29T11:46:00.000-07:00Now for extra credit:Why didn't the twenty-first t...Now for extra credit:<BR/><BR/>Why didn't the twenty-first term get a comment?Williamhttps://www.blogger.com/profile/05296636733423295606noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-80012532214157461832009-03-29T10:36:00.000-07:002009-03-29T10:36:00.000-07:00William has the correct answer to an elegant puzzl...William has the correct answer to an elegant puzzle.<BR/><BR/>There is another series which, because of its clumsiness is obviously not the desired answer. Neverless, it is an answer to the question. Terms 11 thru 13 are 146,672,and 3083. (That is, if I didn't make an error.)hughhttps://www.blogger.com/profile/16914509834442545746noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-57034085996693874232009-03-28T20:54:00.000-07:002009-03-28T20:54:00.000-07:00Still no comments?This one isn't so hard. The twe...Still no comments?<BR/><BR/>This one isn't so hard. The twentieth term has 20 as a factor, along with a prime.Williamhttps://www.blogger.com/profile/05296636733423295606noreply@blogger.com