Question

What is the sequence of second differences for ax +b?

Answer 1

ZERO

Step-by-step explanation

Write the given function as

F(x) = ax + b

i.e Y = ax + b

now differentiate Y with respect to X

dY/dX = d (ax + b)/ dx

dY/dX = a

now again differentiate this function with respect to x

so, d^2Y/dX^2 = d^2 (a)/dX^2

= 0 (ZERO)

note: differentiation of constant function is zero