Find the rule below and name the next number in the sequence:

1,2,9,1000,???,

Since there is no number before 1, we take it as 0(zero) and follow the steps given below to obtain the remaining terms of the sequence.

First Step: (0 + 1)^0 = 1
Second Step: (1 + 1)^1 = 2
Third Step: (2 + 1)^2 = 9
Fourth Step: (9 + 1)^3 = 1000
Fifth Step: (1000 + 1)^4 = 1004006004001

So, the generl rule is given by the formula:
'N'th Number = [(N - 1)st Number + 1]^(N - 1)

Posted by Ravi Raja on 2003-05-02 04:18:50