Final answer:
To find a closed form solution for the coefficients of the sequence, we need to determine the characteristic equation and use its roots to write the general form of the sequence.
Step-by-step explanation:
To find a closed form solution for the coefficients of the sequence, we need to first determine the characteristic equation. The characteristic equation is obtained by setting up the recursive relation as a polynomial equation and solving for the roots.
Once we have the roots of the characteristic equation, we can use them to write the general form of the sequence. For example, if the roots are r1 and r2, the general form would be of the form C1*r1^n + C2*r2^n, where C1 and C2 are constants determined by the initial conditions.
By substituting the initial conditions into the general form, we can find the values of C1 and C2 and obtain the closed form solution for the coefficients of the sequence.