Question

The sum of a sequence of consecutive numbers from 1 to n is given by the formula 2

n(n+1)
Which level differences of this polynomial is a constant value? (1 point)
O2nd differences
O 3rd differences
1st differences
4th differences

Answer 1

The 2nd differences of this polynomial sequence result in a constant value.

Step-by-step explanation:

The level differences of this polynomial that result in a constant value are the 2nd differences. When a polynomial sequence is constructed from consecutive numbers, the sum can be expressed as a polynomial function of degree 2, given by the formula 2n(n+1). The 2nd differences in this sequence will always be the same constant value, regardless of the value of n. For example, if we take the sequence 1, 2, 3, 4, 5, the differences are 1, 1, 1, 1, and so on.

Learn more about Constant level differences of a polynomial sequence