Find the rule below and name the next number in the sequence:
1,2,9,1000,???,
Let T(i) be the ith term of the given sequence.
Then, it seems that in terms of the conditions inclusive of the given problem:
T(i) = (T(i-1) + 1)^(i-1)
Thus, T(1) = 1, T(2) = (1+1)^1, and so on:
Consequently, the required missing term
The fifth term of the sequence
= T(5)
= (T(4) + 1))^4
= (1000 + 1)^4
=1004006004001
Edited on February 27, 2024, 11:57 am
Puzzle Solution
