0, 0.5777, 1, 1.732, __?
Solution:
This is a bit difficult series to crack and often puts the interviewee under pressure.
0 is the base one and something you need not focus on as it will be zero no matter what you do.
0.577 is the root of (1/3)
1 is the root of 1
1.732 is the root of 3
If you see the pattern, you will find that at every step the root digit is getting multiplied by 3.
Thus the next digit must be the root of 3*3 = 9
Root of 9 = 3 which is the next number in the sequence.