What is the next number in this series 7, 27, 50, 76, _____?

Answer 1

Mathematica has a command called FindSequenceFunction that checks series to see if they fit a pattern. This one does:

data = {7, 27, 50, 76};

g = FindSequenceFunction[data, x]

g /. x -> 5

=>

g=1/2 (-20 + 31 x + 3 x^2)

g/. x->5=105