What should the degree of a polynomial sequence be so that its 6th differences are a constant value?(1 point)
The degree of the polynomial sequence should be at least 6.
To determine the degree of a polynomial sequence such that its 6th differences are constant, we need to understand the relationship between the differences and the degree.
For a polynomial sequence of degree n, the differences will form a pattern. In general, the kth differences, where k is the degree of the polynomial, will be constant.
Therefore, in this case, we know that the 6th differences are constant. This means that the degree of the polynomial should be 6.
So, the degree of the polynomial sequence should be 6 in order for its 6th differences to be a constant value.