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...r k >= 3, let a(k) = 1 - (a(k-2) - 2*a(k-1) + 3) *(a(k-1) + 1) /(a(k-1) - 1) Find a closed form for the sequence of a(k)'s. (Again, I'll give my answer in a couple days if no one else gets it so...
...6 3 2 8 9 2 1 6 ? (Hint: why are alternate squares itallicised?) 2) What number continues the following sequence: 1, 4, 11, 34, 101, ? (Hint: This is a progressive sequence that involves multi...
... we're assuming 4 players and dealing/playing is done clockwise. Being very rusty on my math, I figured a sequence, by trial and error, that would take six table configurations. This would mean that...
I will start this post describing an unoriginal game, then describe a puzzle and a sequence based on the idea. 2 or more players. Start with an n-by-n grid drawn on paper. (I suggest an n of at le
What's the matter? Surely this isn't too hard? (*Is* this too hard?)
Fill in the missing numbers to complete the sequence. 0.5, 1,
...6 ... ? I think I've seen this one a long time ago and I think it's sneaky. It does appear on a numerical sequences website but it's a horrible trig function and this was a question to a 6th grade c...
...1-9 in such a way that their sum is 100. or Adding only 2 additions and 2 subtractions to the following sequence of digits, obtain a result of 621: 9 8 7 6 5 4 3 2 1 I am wondering if anyone h...
... the requests to take questions to e-mail, obviously that doesn't apply here) minus the answer :) MYSTERY SEQUENCE I'm sure you all know how sequence problems work. Just in case you don't, below a...
Hi, Picking 4 numbers from 1-100 each more than the previous, what is the probability that you have chosen 4 which fit no pattern (using any function you choose).
Given a sequence of numbers a = , each of which is a single-digit integer (ie., 0
113, 24, 10, 3, 5, 4, 4
1, 5, 6, 7, 8, 9, 15, 16, 19, 23, 39, ???
Find the next nine characters in the following sequence: () [-~ ~ / ()~ ~ - 2[-[- =()(_) 2 = /[-5 >
Given an in-order traversal sequence, how many binary-trees can be generated which conform to it ? If the in-order and pre-order b-tree traversals are given, is there an algorithm to create the bina
...36 1 -> 2816 0 -> ? Rules: 1) The 0 value here *IS NOT* 11!!!!! See http://www.research.att.com/~njas/sequences/ and search for '10, 19, 36, 68, 128, 240'. You should find the sequence with ID...
People are often posting number sequences to this group asking what number comes next in the sequence. Of course, the technically correct answer is that there are an infinite number of numbers that
...uzzle really is right in front of you.... What could I mean by that, hint hint? This is the entire number sequence: 1, 5, 3, 3, 3, 4, 5, 6, 8, 7, 8, 9, 7, 6, 9, 10, 1, 4, 2, 5, 7, 4, 2, 2, 6, 1 Id...
...stopped at 06:15am. What time should it be displaying? 2) What should the next number be in the following sequence? 5, 8, 6, 8, 11, 8, 11, 15, 22, _?_ 3) Frank walks into a pub and strides strai...
What is the next number in the following sequence? 12,345,678 12,345,687 12,345,768
alternating sequences, You want a puzzle the solution of which is / can be a floor function? f(1) = 1 f(2) = 2 f(3) = 2 f(4) = 3 f(5) = 3 f(6) = 3 etc. Successive values of f(n) are 1,2,2,3,3,3,
...ib(2) = 1 , and for i any integer > 2, Fib(i) = Fib(i - 2) + Fib(i - 1). That is, Fib(n) is the Fibonacci sequence. Now, let S(n) = Fib(1) / 2^1 + Fib(2) / 2^2 + ... + Fib(n) / 2^n. It's easy en...
It's gone wrong already: a repeated ABCB. In fact as far as I can see the resulting sequence from this algorithm will consist purely of repeats of ABCB. regards
what should follow the sequence 1, 4, 9, 7, 7, 9, 4, 1, 9...
...sits earth, is displeased with us, and uses some magic beam to disintegrate half the earth. What sort of consequences would arise? Here's some questions we pondered: - It makes a difference which ...
Posted is a game and, below the game, a question and a question about a related integer sequence.
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