Can a random Synthetic Index price sequence repeat?

Yes. Random price generation does not mean that the same sequence of price movements can never occur more than once.

 

Short sequences can naturally repeat. For example, a sequence such as:

 

 

may occur multiple times as a normal result of random generation.

 

The longer and more precisely defined a sequence is, the less likely it is to repeat exactly. However, observing the same sequence of several price movements more than once does not mean that the algorithm contains a repeating pattern or that the same sequence is more likely to occur again.