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Old 05-05-2009   #1
adidasballa95
 
Join Date: May 2009
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Arrow 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?
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Old 05-21-2009   #2
MAS1

 
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Quote:
Originally Posted by adidasballa95 View Post
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?
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Old 06-08-2009   #3
Yiwan
 
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I get confused
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Old 03-06-2010   #4
jmw106462

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