  We present two tools, which could be useful in determining whether or not a
non-Homogenous Linear Recurrence can reach a desired rational. First, we derive
the determinant that is equal to the ith term in a non-Homogenous Linear
Recurrence. We use this to derive the infinite determinant that is zero, if and
only if, the desired rational can be reached by some term in the recurrence.
Second, we derive an infinite summation of rational Polynomials, such that this
summation can be equal to 1, if and only if, the desired rational can be
reached by some term in the recurrence.
