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1 solution
The differences are the squares of the natural numbers starting from 2. 31-27=4=2^2 / 40-31=9=3^2 / 56-40=16=4^2 / 81-56=25=5^2 / 117-81=36=6^2 . Therefore, next term will be 117+(7^2)=117+49=166.
That is the required answer.