Intermediate Sequence Challenge - XP Math - Forums

 XP Math - Forums Intermediate Sequence Challenge

 05-05-2009 #1 adidasballa95   Join Date: May 2009 Posts: 1 Sequence Challenge Let us say that a finite sequence a1, a2, . . . , an of n integers is thrilling if the sum of any two consecutive terms of the sequence is a power of three. (The powers of three are 1, 3, 9, 27, . . . ) What is the length of the shortest thrilling sequence whose first term is 1 and whose last term is 100?
05-21-2009   #2
MAS1

Join Date: Dec 2008
Posts: 249

Quote:
 Originally Posted by adidasballa95 Let us say that a finite sequence a1, a2, . . . , an of n integers is thrilling if the sum of any two consecutive terms of the sequence is a power of three. (The powers of three are 1, 3, 9, 27, . . . ) What is the length of the shortest thrilling sequence whose first term is 1 and whose last term is 100?
Does it matter if the sequence is an arithmetic or a geometric sequence?

 06-08-2009 #3 Yiwan     Join Date: Mar 2009 Posts: 48 I get confused
03-06-2010   #4
jmw106462

Join Date: Feb 2010
Posts: 388

Quote:
 Originally Posted by MAS1 Does it matter if the sequence is an arithmetic or a geometric sequence?
Does it really matter?
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