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Let a_n = a_n-1 + 6a_n-3. Select all that applies. a_n is of degree 2 a_n is of

ID: 3119741 • Letter: L

Question

Let a_n = a_n-1 + 6a_n-3. Select all that applies. a_n is of degree 2 a_n is of degree 3 a_n does not have constant coefficients a_n has constant coefficients a_n is linear F. a_n is not homogeneous a_n is homogeneous a_n is not linear Let a_n = na_n+1 + 6a_n-4. Select all that applies. a_n does not have constant coefficients a_n is homogeneous a_n is not linear a_n is not homogeneous a_n is of degree 2 a_n is of degree 4 a_n is linear a_n has constant coefficients Let a_a = n + a_n-1 + ba_n-4. Select all that applies. a_n is not linear a_n is homogeneous a_n has constant coefficients a_n does not have constant coefficients a_n is of degree 3 a_n is not homogeneous a_n is of degree 2 a_n is linear Let a_n = a_n-1 middot a_n-3 + 6a_n-2. Select all that applies. a_n is of degree 3 a_n is homogeneous a_n is not homogeneous a_n has constant coefficients a_n is not linear a_n is linear a_n does not have constant coefficients a_n is of degree 2

Explanation / Answer

A.

Due to the an-3 , an is of degree 3.

Yes, it has constant coefficient

Yes, an is homogeneous

Yes, an is linear

B.

an does not have constant coefficient, due to the n*an-1 term.

an is not linear, due to the multiple of n

an is homogeneous.

an is degree 4, due to the terms of a(n-4)

C.

an is linear

an is non-homogeneous, due to the term of n

an does not have constant coefficients.

D.

an is not linear, due to multiples of a(n -1)*a(n - 3)

an is homogeneous, since there are no constant terms in recurrence relation.

an has constant coefficients.

an is of degree 3