# A very basic number sequence puzzle

Predict the next members of the sequence below and explain what the relationship is.

2, 10, 101, 1211, 14321, ...

$$150145$$

Because:

Base-$$2$$ of $$2$$ is $$10$$,
Base-$$3$$ of $$10$$ is $$101$$,
Base-$$4$$ of $$101$$ is $$1211$$,
Base-$$5$$ of $$1211$$ is $$14321$$,
Base-$$6$$ of $$14321$$ is $$150145$$

• Oooh - that's actually a clever number sequence! – Brandon_J May 23 at 15:05
• A very "basic" one yep, but strangely never asked (to my knowledge). – Synn May 23 at 15:06