Practice!

Sample Problem

Find the first and second-order differences of the polynomial given that

f(1) = 2, f(2) = 4, f(3) = 7, f(4) = 11, and f(5) = 16.

First order differences (list in order): ,,,

Second order differences (list in order): ,,

Solution

First order: 4 – 2 = 2, 7 – 4 = 3, 11 – 7 = 4, 16 – 11 = 5

Second order: 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1