A quadratic pattern has a constant second difference of 2 and term 5 is equal to term 17 which is ?

The equation of a quadratic pattern is y = ax^2 + bx + c and the graph is a parabola. You are given the points (5, 29) and (17, 29) which means the vertex is at x = 11 so there is a max or a min but you can not determine which from the given information.

I have never heard the term "constant second difference" so I can't advise you on that.