The Hardest IQ Question

WT Gowers:

What is the next term in the following sequence: 1, 2, 5, 14, 41, 122? One can imagine such a question appearing on an IQ test. And one doesn’t have to stare at it for too long to see that each term is obtained by multiplying the previous term by 3 and subtracting 1. Therefore, the next term is 365.

If you managed that, then you might find the following question more challenging. What is the next term in the sequence