Find the next term in each sequence below, replacing the underscores. Then, replace each of the found integers with the corresponding letter of the alphabet (A = 1, B = 2, etc.). The letters, in order, form a five-letter word.

128,  64,  32, 16,  8,  4, ___
 -3,   0,   3,  6,  9, 12, ___
       3,   4,  6,  8, 12, ___
  1,   2,   3,  5,  8, 13, ___
110, 109, 105, 96, 80, 55, ___  

For the following sequences, n=1,2,3,... where n indicates the sequence number of the term

B: 128, 64, 32, 16, 8, 4, 2 := 2^{(8 - n)}
O: -3, 0, 3, 6, 9, 12, 15 := 3*n - 6
N: 3, 4, 6, 8, 12, 14 := nth Prime + 1
U: 1, 2, 3, 5, 8, 13, 21 := (n+1)^st Fibonacci number
S: 110, 109, 105, 96, 80, 55, 19 := 111 - S, such that S is the sum of the squares from 1 to n

Posted by Dej Mar on 2008-04-14 02:50:56