Respuesta :

Answer:

The second difference, let suppose denoted by d₂, can be obtained by taking the difference between consecutive terms of the first difference of y-values, such as:

  • d₂ = 3 - 1 = 2
  • d₂ = 5 - 3 = 2

Step-by-step explanation:

Given the table

x                    y

0                   3

1                    4

2                   7

3                   12

The (first) difference, let suppose denoted by d, of y values can be obtained  by taking the difference between consecutive terms.

  • d = 4 - 3 = 1
  • d = 7 - 4 = 3
  • d = 12 - 7 = 5

The second difference, let suppose denoted by d₂, can be obtained by taking the difference between consecutive terms of the first difference of y-values, such as:

  • d₂ = 3 - 1 = 2
  • d₂ = 5 - 3 = 2