Question

If the 2nd difference of a quadratic pattern is "8" what does the "n squared" sequence become?

a) 4n²
b) 6n²
c) 8n²
d) 10n²

Answer 1

If the second difference of a quadratic pattern is 8, the n squared sequence becomes 4n².

Step-by-step explanation:

The second difference of a quadratic pattern represents the difference between consecutive first differences. If the second difference is 8, it means that each first difference increases by 8. In a quadratic pattern, the nth term is represented by an equation of the form An² + Bn + C, where A, B, and C are constants. Since the second difference is constant and equal to 8, the coefficient A in the equation would be equal to half of the second difference, which is 4. Therefore, the n squared sequence becomes 4n².