What is this called and how do i solve it

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

15 and 14.7 are 1 apart, so 15 – 14.7 must be 1.

Someone answer this asap for the first five terms of a sequence are shown. 5, 11, 23, 47, 95, . . which recursive function defines the nth term in the sequence for n > 1? a. f(n) = f(n - 1) + 6 b) f(n) = f(n - 1) + 48 c) f(n) = 3 • f(n - 1) + 1 d) f(n) = 3 • f(n - 1) - 4