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Leaps of Faith (Posted on 2004-11-15) Difficulty: 2 of 5

What comes next in the following sequence?

1, 1, 2, 5, 21, 233, 10946, ?...?

See The Solution Submitted by Juggler    
Rating: 3.2000 (5 votes)

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Solution Nice Puzzle Comment 12 of 12 |

The xth given sequence corresponds to F(F(x)) where F(n) is the nth term of the Fibonacci sequence.

Thus,

F(F(1)) =  1
F(F(2)) = 1
F(F(3)) = 2
F(F(4)) = 5
F(F(5)) = 21
F(F(6)= 233 
F(F(7))=10946
F(F(8)=5702887

Thus, the required missing term is 5702887

Nice Puzzle.

Edited on March 11, 2007, 12:46 pm
  Posted by K Sengupta on 2007-03-09 04:49:51

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