# Sum of a series

A sequence $$\{T(n)\}_{n\geq 1}$$ having first term $$T(1) = 1$$ has subsequent terms defined by the following recurrence relation,

$\frac{T(n + 1)}{T(n)} = \frac{7+(-1)^{n - 1}}{4}~\forall~n\geq 1$

What is the units' digit of the sum of the first 2014 terms of the above defined sequence ?

×