Find the missing number 2 5 14 -- 122?

2,5,14 - - 122

Difference between 5 & 2 = 3 = 3^(1)

Difference between 14 & 5 = 9 = 3^(2)

This leads one to suppose the next difference will be 3^(3) = 27

Hence 14 + 27 = 41

Similarly the next difference again will 3^(4) = 81

Hence

41 + 81 = 122 As required.

So the sequence is

2,5,14,41,122.

NB The next difference again is 3^(5) = 243

Hence 122 + 243 = 365 is the next term in the sequence.

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