  Zeckendorf's theorem states that every positive integer can be uniquely
decomposed as a sum of nonconsecutive Fibonacci numbers. The distribution of
the number of summands converges to a Gaussian, and the individual measures on
gaps between summands for $m \in [F_n, F_{n+1})$ converge to geometric decay
for almost all $m$ as $n\to\infty$. While similar results are known for many
other recurrences, previous work focused on proving Gaussianity for the number
of summands or the average gap measure. We derive general conditions which are
easily checked yield geometric decay in the individual gap measures of
generalized Zeckendorf decompositions attached to many linear recurrence
relations.
